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[null,"●","Probability Theory"]
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[null," Label the probability scale with correct statements & proportions"]
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[null," Describe the likelihood of events using the language of probability"]
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[null," Find all possible mutually exclusive outcomes (cards & letters)"]
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[null," Find all possible mutually exclusive outcomes (spinners & bags)"]
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[null," Write fractional probabilities of events given in words & contexts"]
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[null," Write fractional probabilities of events involving cards & bags"]
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[null," Write fractional probabilities of events involving spinners"]
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[null," Find complementary probabilities on scales (fractions or ratios)"]
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[null," Find complementary probabilities on scales (decimals or %s)"]
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[null," Find the probability of selecting a square (random or user-defined)"]
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[null," Find the probability of taking a red ball (random or user-defined)"]
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[null," Complete a probability table given the ratio of outcomes for a dice"]
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[null," Find the probability of each outcome on a spinner & draw 4 sectors"]
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[null,null,"All content © eStarters Ltd 2020"]
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[null,null,"For more downloads and further information"]
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[null,null,"Visit the Trinity Maths website"]
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[null,null,"To contact us directly, email:     info@estarters.com"]
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[null,null,{"$f":"MENU!C2","v":"Probability Theory"}]
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[null,null,"is № 10 of 10 free sample files from the"]
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[null,null,"178 Topic Files in Trinity Maths (Version 3) "]

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[null,null,1,1,1,1,null,null,1,null,null,null,null,null,null,1,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"SUM(J21:AC21)","v":1},{"$f":"AD21-I21","v":0},null,null,null,17,1,1,0,0,1,0,1]
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[null,null,8,1,3,2,null,null,8,1,null,null,null,1,null,1,null,null,null,1,null,1,null,1,null,1,null,1,null,8,0]
[null,null,9,1,3,3,null,null,9,1,null,1,null,null,1,null,null,1,null,null,1,null,1,null,1,null,1,null,1,9,0]
[null,null,10,2,1,1,null,null,10,1,null,null,1,null,null,1,null,1,1,1,null,1,null,1,null,1,null,null,1,10,0]
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[]
[null,null,"Label the probability scale with the correct"]
[null,null,"statements, fractions, decimals and percentages."]
[null,null,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0]
[]
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[]
[]
[]
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[]
[null,null,"  certain",null,null,"even chance",null,null,null,null,null,null,"  less likely",null,null,null,null,null,"   impossible"]
[null,null,"  good chance",null,null,null,null,null,null,"   more likely",null,null,null,null,null,null,null,null,"poor chance"]

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[null,"Describe the likelihood or chance of the event."]
[null,"Place its letter on the probability scale below.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"event","P","state","pos’n","display"]
[null,"a.",{"$f":"AJ53","v":"The moon will be visible sometime this evening."},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AI4=$AI$53,$AU$59,IF(AI4=$AI$54,$AW$59,IF(AI4=$AI$55,$AY$59,\"X\")))","v":""},1,{"$f":"CONCATENATE(\"I see \",AP4,\" on the way home tonight.\")","v":"I see Keira Knightley on the way home tonight."},null,"very unlikely",1,{"$f":"CONCATENATE(\"     \",AH4)","v":"     "},{"$f":"N1","v":0.14947169956584816},{"$f":"IF(AO4>0.8,\"David Beckham\",IF(AO4>0.6,\"Tom Cruise\",IF(AO4>0.4,\"Beyoncé\",IF(AO4>0.2,\"Tiger Woods\",\"Keira Knightley\"))))","v":"Keira Knightley"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AL53","v":"likely"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",2,{"$f":"IF(AO5>0.75,\"I will go home tonight by hovercraft.\",IF(AO5>0.5,\"I will fly home tonight in an aeroplane.\",IF(AO5>0.25,\"I will fly home tonight by microlight.\",\"I will fly home tonight by helicopter.\")))","v":"I will fly home tonight by helicopter."},null,"very unlikely",1,{"$f":"CONCATENATE(\"     \",AH5)","v":"     X"},{"$f":"O1","v":0.2417571868797711}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"…",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",3,{"$f":"CONCATENATE(\"I will walk from \",AP6,\" to \",AR6,\" in a day.\")","v":"I will walk from Dover to Leeds in a day."},null,"impossible",1,{"$f":"CONCATENATE(AH6)","v":"X"},{"$f":"P1","v":0.17095718882090505},{"$f":"IF(AO6>0.8,\"London\",IF(AO6>0.6,\"Brighton\",IF(AO6>0.4,\"Cornwall\",IF(AO6>0.2,\"Windsor\",\"Dover\"))))","v":"Dover"},{"$f":"Q1","v":0.25750674396182849},{"$f":"IF(AQ6>0.8,\"Edinburgh\",IF(AQ6>0.6,\"Glasgow\",IF(AQ6>0.4,\"Manchester\",IF(AQ6>0.2,\"Leeds\",\"Scotland\"))))","v":"Leeds"}]
[null,"b.",{"$f":"AJ54","v":"A car selected at random is the colour purple."},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",4,"A relative of mine wins the lottery jackpot tonight.",null,"very unlikely",1,{"$f":"CONCATENATE(\"     \",AH7)","v":"     X"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AL54","v":"unlikely"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",5,{"$f":"IF(R1>0.5,\"My mother has the same birthday as me.\",\"My father has the same birthday as me.\")","v":"My mother has the same birthday as me."},null,"very unlikely",1,{"$f":"CONCATENATE(\"     \",AH8)","v":"     X"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"…",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",6,{"$f":"IF(S1>0.5,\"A purple pig will fly past the window.\",\"A pink elephant will fly past the window.\")","v":"A purple pig will fly past the window."},null,"impossible",1,{"$f":"CONCATENATE(AH9)","v":"X"}]
[null,"c.",{"$f":"AJ55","v":"I see Keira Knightley on the way home tonight."},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",7,{"$f":"IF(AO10>0.67,\"I will be given a pet Dragon for Christmas.\",IF(AO10>0.33,\"I will be given a pet T-Rex for Christmas.\",\"I will be given a pet Balrog for Christmas.\"))","v":"I will be given a pet Balrog for Christmas."},null,"impossible",1,{"$f":"CONCATENATE(AH10)","v":"X"},{"$f":"T1","v":7.4321967709028436E-2}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AL55","v":"very unlikely"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",8,{"$f":"IF(U1>0.5,\"I will play basketball on the Moon one day.\",\"I will play cricket on the surface of Mars one day.\")","v":"I will play cricket on the surface of Mars one day."},null,"very unlikely",1,{"$f":"CONCATENATE(\"     \",AH11)","v":"     X"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"…",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",9,{"$f":"IF(V1>0.5,\"I will give birth to a polar bear cub tomorrow.\",\"I will give birth to a baby giraffe tomorrow.\")","v":"I will give birth to a baby giraffe tomorrow."},null,"impossible",1,{"$f":"CONCATENATE(AH12)","v":"X"}]
[null,null,null,{"$f":"IF(AM53=1,AN53,IF(AM54=1,AN54,IF(AM55=1,AN55,0)))","v":"     "},null,{"$f":"IF(AM53=2,AN53,IF(AM54=2,AN54,IF(AM55=2,AN55,0)))","v":0},{"$f":"IF(AM53=3,AN53,IF(AM54=3,AN54,IF(AM55=3,AN55,0)))","v":0},{"$f":"IF(AM53=4,AN53,IF(AM54=4,AN54,IF(AM55=4,AN55,0)))","v":""},{"$f":"IF(AM53=5,AN53,IF(AM54=5,AN54,IF(AM55=5,AN55,0)))","v":0},null,{"$f":"IF(AM53=6,AN53,IF(AM54=6,AN54,IF(AM55=6,AN55,0)))","v":0},{"$f":"IF(AM53=7,AN53,IF(AM54=7,AN54,IF(AM55=7,AN55,0)))","v":0},{"$f":"IF(AM53=8,AN53,IF(AM54=8,AN54,IF(AM55=8,AN55,0)))","v":0},{"$f":"IF(AM53=9,AN53,IF(AM54=9,AN54,IF(AM55=9,AN55,0)))","v":0},null,{"$f":"IF(AM53=10,AN53,IF(AM54=10,AN54,IF(AM55=10,AN55,0)))","v":0},{"$f":"IF(AM53=11,AN53,IF(AM54=11,AN54,IF(AM55=11,AN55,0)))","v":0},{"$f":"IF(AM53=12,AN53,IF(AM54=12,AN54,IF(AM55=12,AN55,0)))","v":""},{"$f":"IF(AM53=13,AN53,IF(AM54=13,AN54,IF(AM55=13,AN55,0)))","v":0},null,{"$f":"IF(AM53=14,AN53,IF(AM54=14,AN54,IF(AM55=14,AN55,0)))","v":0},{"$f":"IF(AM53=15,AN53,IF(AM54=15,AN54,IF(AM55=15,AN55,0)))","v":0},{"$f":"IF(AM53=16,AN53,IF(AM54=16,AN54,IF(AM55=16,AN55,0)))","v":0},{"$f":"IF(AM53=17,AN53,IF(AM54=17,AN54,IF(AM55=17,AN55,0)))","v":0},null,null,null,null,null,null,null,null,null,"X",10,{"$f":"IF(N1>0.5,\"My cat will sing the National Anthem backwards.\",\"My dog will cook dinner and do the washing-up.\")","v":"My dog will cook dinner and do the washing-up."},null,"impossible",1,{"$f":"CONCATENATE(AH13)","v":"X"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",11,{"$f":"IF(O1>0.5,\"My Maths teacher will turn into a Werewolf.\",\"My English teacher will grow wings and fly.\")","v":"My English teacher will grow wings and fly."},null,"impossible",1,"X"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",12,{"$f":"IF(P1>0.5,\"The Prime Minister visits our school tomorrow.\",\"The USA President visits our school tomorrow.\")","v":"The USA President visits our school tomorrow."},null,"very unlikely",2,{"$f":"CONCATENATE(AH15,\"  \")","v":"X  "}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",13,{"$f":"IF(Q1>0.5,\"Both goalkeepers score in the FA Cup Final.\",\"Both goalkeepers score in the World Cup Final.\")","v":"Both goalkeepers score in the World Cup Final."},null,"very unlikely",2,"X"]
[null,"impossible",null,null,null,null,null,null,null,null,null,null,"   even",null,null,null,null,null,null,null,null,null,"  certain",null,null,null,null,null,null,null,null,null,null,"X",14,{"$f":"CONCATENATE(\"Every \",AR17,\" in the class will have 100% \",AP17)","v":"Every girl in the class will have 100% punctuality."},null,"very unlikely",2,"X",{"$f":"N1","v":0.14947169956584816},{"$f":"IF(AO17>0.5,\"attendance.\",\"punctuality.\")","v":"punctuality."},{"$f":"O1","v":0.2417571868797711},{"$f":"IF(AQ17>0.5,\"boy\",\"girl\")","v":"girl"}]
[null,null,null,null,null,null,null,null,null,null,null,null," chance",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",15,{"$f":"IF(P1>0.5,\"I will be 100% fit throughout my entire life.\",\"I will never be ill throughout my entire life.\")","v":"I will never be ill throughout my entire life."},null,"very unlikely",2,"X"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",16,{"$f":"IF(Q1>0.5,\"One of my school friends is in a hit movie.\",\"One of my school friends records a hit single.\")","v":"One of my school friends records a hit single."},null,"unlikely",4,"X"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"",17,{"$f":"IF(R1>0.5,\"A car selected at random is the colour purple.\",\"A car selected at random is the colour yellow.\")","v":"A car selected at random is the colour purple."},null,"unlikely",4,""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",18,{"$f":"IF(S1>0.5,\"The next person I see is over 2 metres tall.\",\"The next dog I see has only three legs.\")","v":"The next person I see is over 2 metres tall."},null,"unlikely",4,"X"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",19,{"$f":"CONCATENATE(\"A coin taken at random from a till is \",AP22)","v":"A coin taken at random from a till is a pound coin."},null,"unlikely",3,"X",{"$f":"T1","v":7.4321967709028436E-2},{"$f":"IF(AO22>0.86,\"a 1p piece.\",IF(AO22>0.72,\"a 2p piece.\",IF(AO22>0.57,\"a 5p piece.\",IF(AO22>0.42,\"a 10p piece.\",IF(AO22>0.28,\"a 20p piece.\",IF(AO22>0.14,\"a 50p piece.\",\"a pound coin.\"))))))","v":"a pound coin."}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",20,{"$f":"CONCATENATE(\"When I throw a dice I get a \",AP23,\".\")","v":"When I throw a dice I get a three."},null,"unlikely",4,{"$f":"CONCATENATE(AH23,\" \")","v":"X "},{"$f":"U1","v":0.34202412058742293},{"$f":"IF(AO23>0.8,\"six\",IF(AO23>0.6,\"five\",IF(AO23>0.4,\"four\",IF(AO23>0.2,\"three\",\"two\"))))","v":"three"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",21,{"$f":"IF(V1>0.5,\"I will pass my driving test before I am 17¼.\",\"I will get five Grade 9s or A*s in my GCSEs.\")","v":"I will get five Grade 9s or A*s in my GCSEs."},null,"unlikely",5,{"$f":"CONCATENATE(AH24,\"     \")","v":"X     "}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",22,{"$f":"IF(N1>0.5,\"It will rain sometime today.\",\"It will rain sometime tomorrow.\")","v":"It will rain sometime tomorrow."},null,"even chance",9,{"$f":"CONCATENATE(AH25)","v":"X"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",23,{"$f":"IF(O1>0.5,\"A coin thrown in the air will land on heads.\",\"A coin thrown in the air will land on tails.\")","v":"A coin thrown in the air will land on tails."},null,"even chance",9,{"$f":"CONCATENATE(AH26)","v":"X"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",24,{"$f":"IF(P1>0.5,\"A newly born baby will be a boy.\",\"A newly born baby will be a girl.\")","v":"A newly born baby will be a girl."},null,"even chance",9,"X"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",25,{"$f":"IF(AO28>0.75,\"When I throw a dice I get an even number.\",IF(AO28>0.5,\"When I throw a dice I get an odd number.\",IF(AO28>0.25,\"When I throw a dice I get a prime number.\",\"When I throw a dice I get a multiple of 2.\")))","v":"When I throw a dice I get a prime number."},null,"even chance",9,"X",{"$f":"Q1","v":0.25750674396182849},null,{"$f":"N1","v":0.14947169956584816}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",26,{"$f":"IF(O1>0.5,\"The age of my Maths Teacher is an odd number.\",\"The age of my Maths Teacher is an even number.\")","v":"The age of my Maths Teacher is an even number."},null,"even chance",9,"X",null,null,{"$f":"Q1","v":0.25750674396182849},{"$f":"IF(AQ29>0.8,\"six\",IF(AQ29>0.6,\"five\",IF(AQ29>0.4,\"four\",IF(AQ29>0.2,\"three\",\"two\"))))","v":"three"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",27,{"$f":"IF(P1>0.5,\"It will be very cold on Christmas Day in England.\",\"It will be quite warm on July 21st in England.\")","v":"It will be quite warm on July 21st in England."},null,"likely",11,"X"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"",28,"The moon will be visible sometime this evening.",null,"likely",12,""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",29,{"$f":"IF(Q1>0.5,\"A pupil chosen at random will have a pet at home.\",\"A pupil chosen at random will own a DVD player.\")","v":"A pupil chosen at random will own a DVD player."},null,"likely",12,"X"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",30,"A pupil chosen at random will be right-handed.",null,"very likely",13,"X"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",31,{"$f":"IF(R1>0.5,\"Rain interrupts play during Wimbledon fortnight.\",\"Injury time is to be added on to the FA Cup Final.\")","v":"Rain interrupts play during Wimbledon fortnight."},null,"very likely",13,{"$f":"CONCATENATE(\"  \",AH34)","v":"  X"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",32,{"$f":"IF(S1>0.5,\"I will get homework before the weekend.\",\"I will have homework to do at the weekend.\")","v":"I will get homework before the weekend."},null,"very likely",15,{"$f":"CONCATENATE(AH35)","v":"X"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",33,{"$f":"IF(T1>0.5,\"I will watch TV this week.\",\"I will watch TV at the weekend.\")","v":"I will watch TV at the weekend."},null,"very likely",16,"X"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",34,{"$f":"IF(AO37>0.67,\"I will eat some food this year.\",IF(AO37>0.33,\"I will drink some water this year.\",\"I will fall asleep this year.\"))","v":"I will drink some water this year."},null,"certain",17,"X",{"$f":"U1","v":0.34202412058742293}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",35,{"$f":"IF(V1>0.5,\"The surface of the Sun will be hot tomorrow.\",\"The Moon will have no atmosphere tomorrow.\")","v":"The Moon will have no atmosphere tomorrow."},null,"certain",17,"X"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",36,{"$f":"IF(N1>0.5,\"A banana will be damaged if I stand on it.\",\"A strawberry will be crushed if I stand on it.\")","v":"A strawberry will be crushed if I stand on it."},null,"certain",17,"X"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",37,{"$f":"IF(O1>0.5,\"My parent will be pleased if I do all my homework.\",\"My teacher will be pleased if I do well in my tests.\")","v":"My teacher will be pleased if I do well in my tests."},null,"certain",17,"X"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,38]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,39]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,40]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"impossible",null,{"$f":"COUNTIF($AL$4:$AL$43,AJ44)","v":6},{"$f":"AL44+AL45","v":15},null,1,{"$f":"$AM$45","v":1},{"$f":"$AM$47","v":17},{"$f":"$AM$49","v":28}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"very unlikely",null,9,{"$f":"INT(AM44*X1)+1","v":1},null,2,{"$f":"$AM$45","v":1},{"$f":"$AM$49","v":28},{"$f":"$AM$47","v":17}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"unlikely",null,6,{"$f":"AL46+AL47","v":11},null,3,{"$f":"$AM$47","v":17},{"$f":"$AM$45","v":1},{"$f":"$AM$49","v":28}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"even chance",null,5,{"$f":"INT(AM46*Y1)+AM44+1","v":17},null,4,{"$f":"$AM$47","v":17},{"$f":"$AM$49","v":28},{"$f":"$AM$45","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"likely",null,3,{"$f":"AL48+AL49+AL50","v":11},null,5,{"$f":"$AM$49","v":28},{"$f":"$AM$47","v":17},{"$f":"$AM$45","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"very likely",null,4,{"$f":"INT(AM48*Z1)+AM46+AM44+1","v":28},null,6,{"$f":"$AM$49","v":28},{"$f":"$AM$45","v":1},{"$f":"$AM$47","v":17}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"certain",null,4]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"SUM(AL44:AL50)","v":37}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"INT(6*W1)+1","v":5}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"VLOOKUP($AI$52,$AO$44:$AR$49,2)","v":28},{"$f":"VLOOKUP(AI53,$AI$4:$AQ$43,2)","v":"The moon will be visible sometime this evening."},{"$f":"VLOOKUP(AI53,$AI$4:$AQ$43,3)","v":0},{"$f":"VLOOKUP(AI53,$AI$4:$AQ$43,4)","v":"likely"},{"$f":"VLOOKUP(AI53,$AI$4:$AQ$43,5)","v":12},{"$f":"VLOOKUP(AI53,$AI$4:$AQ$43,6)","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"VLOOKUP($AI$52,$AO$44:$AR$49,3)","v":17},{"$f":"VLOOKUP(AI54,$AI$4:$AQ$43,2)","v":"A car selected at random is the colour purple."},{"$f":"VLOOKUP(AI54,$AI$4:$AQ$43,3)","v":0},{"$f":"VLOOKUP(AI54,$AI$4:$AQ$43,4)","v":"unlikely"},{"$f":"VLOOKUP(AI54,$AI$4:$AQ$43,5)","v":4},{"$f":"VLOOKUP(AI54,$AI$4:$AQ$43,6)","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"VLOOKUP($AI$52,$AO$44:$AR$49,4)","v":1},{"$f":"VLOOKUP(AI55,$AI$4:$AQ$43,2)","v":"I see Keira Knightley on the way home tonight."},{"$f":"VLOOKUP(AI55,$AI$4:$AQ$43,3)","v":0},{"$f":"VLOOKUP(AI55,$AI$4:$AQ$43,4)","v":"very unlikely"},{"$f":"VLOOKUP(AI55,$AI$4:$AQ$43,5)","v":1},{"$f":"VLOOKUP(AI55,$AI$4:$AQ$43,6)","v":"     "}]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF($AU$60=-10,\"a\",\".\")","v":"a"},null,{"$f":"IF($AW$60=-10,\"b\",\".\")","v":"b"},null,{"$f":"IF($AY$60=-10,\"c\",\".\")","v":"c"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF($AU$60=-10,\"\",\"a\")","v":""},null,{"$f":"IF($AW$60=-10,\"\",\"b\")","v":""},null,{"$f":"IF($AY$60=-10,\"\",\"c\")","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,-10,null,-10,null,-10]

{"sheet":"IDALLMUTEO","index":8,"n_rows":233,"n_cols":191,"rows_kept":233,"cut":false,"hidden":false,"merged":[]}
[{"$f":"RAND()","v":6.0120961180537558E-2},0.91962576823668618,0.60826632187832474,0.95454590653277105,0.80226912495949976,0.40260944073995153,0.21845006472268169,0.48946282017980514,0.78835504571429127,0.829530659021256,0.6931480344715284,0.2967623033801815,0.39301172280293517,0.9568559094355864,0.55724931564091595,0.36333834867280734,3.5042461190171348E-2,2.4114012367497217E-2,0.7363621613901199,0.35378525966412688,0.83149806112001468,0.70029733948285511,0.98457274924544169,0.97910327316457035,0.8546754685137119,0.22244612040204803]
[{"$f":"AE3","v":4},"Find all possible mutually exclusive outcomes",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AE183","v":1},0.5,null,null,null,"x",1,2,3,4,5,6,7,{"$f":"AH14","v":1},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"INT(8*O1)+1","v":5},1,2,3,4,5,6,7,{"$f":"BH14","v":1}]
[null,"if I spin a spinner or take a ball without looking.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(RAND()>AE2,AD2,X4)","v":1},{"$f":"VLOOKUP($AD$3,$AD$4:$AG$79,2)","v":4},{"$f":"VLOOKUP($AD$3,$AD$4:$AG$79,3)","v":"blue, green"},{"$f":"VLOOKUP($AD$3,$AD$4:$AG$79,4)","v":"Yes, 1 of each"},null,3,"P(prime №) =","P(odd №) =",{"$f":"CONCATENATE(\"P(\",AQ2,\") =\")","v":"P(1) ="},{"$f":"CONCATENATE(\"P(№ < \",AI2,\") =\")","v":"P(№ < x) ="},{"$f":"CONCATENATE(\"P(№ > \",AI2,\") =\")","v":"P(№ > x) ="},{"$f":"CONCATENATE(\"P(№ ≤ \",AI2,\") =\")","v":"P(№ ≤ x) ="},{"$f":"CONCATENATE(\"P(№ ≥ \",AI2,\") =\")","v":"P(№ ≥ x) ="},"№",null,null,null,null,null,null,null,"№",null,null,null,null,null,null,null,null,null,{"$f":"INT(4*P1)+4","v":5},"P(prime №) =","P(odd №) =",{"$f":"CONCATENATE(\"P(\",BQ2,\") =\")","v":"P(1) ="},{"$f":"CONCATENATE(\"P(№ < \",BI2,\") =\")","v":"P(№ < 5) ="},{"$f":"CONCATENATE(\"P(№ > \",BI2,\") =\")","v":"P(№ > 5) ="},{"$f":"CONCATENATE(\"P(№ ≤ \",BI2,\") =\")","v":"P(№ ≤ 5) ="},{"$f":"CONCATENATE(\"P(№ ≥ \",BI2,\") =\")","v":"P(№ ≥ 5) ="},"№",null,null,null,null,null,null,null,"№"]
[null,{"$f":"INT(76*RAND())+1","v":7},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"B4","v":7},{"$f":"IF(AG3=\"No\",\"\",\"*\")","v":"*"},{"$f":"IF(AS31=6,\"*\",\"\")","v":"*"},{"$f":"IF(Y12=Y13,\"*\",\"\")","v":""},null,null,1,4,"blue, green","Yes, 1 of each",null,0,"X","X","X","X","X","X","X",{"$f":"D4","v":0},{"$f":"VLOOKUP(AQ4,AI4:AP24,AI3+1)","v":0},{"$f":"COUNTIF(AR4:AR13,1)","v":0},{"$f":"GCD(AS4,AS5)","v":6},{"$f":"AS4/AT4","v":0},{"$f":"IF(AS4=0,0,AU4)","v":0},{"$f":"IF(AS4=0,CONCATENATE(\" \",AV4,\" \"),IF(AS6=1,CONCATENATE(\" \",AV4,\" \"),\"X\"))","v":" 0 "},null,{"$f":"AQ4","v":0},null,null,null,null,null,null,null,null,null,0,"X","X","X","X","X","X","X",{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"VLOOKUP(BQ4,$BI$4:$BP$24,$BI$3+1)","v":{"$error":"#REF!"}},{"$f":"COUNTIF(BR4:BR13,1)","v":0},{"$f":"GCD(BS4,BS5)","v":8},{"$f":"BS4/BT4","v":0},{"$f":"IF(BS4=0,0,BU4)","v":0},{"$f":"IF(BS4=0,CONCATENATE(\" \",BV4,\" \"),IF(BS6=1,CONCATENATE(\" \",BV4,\" \"),\"X\"))","v":" 0 "},null,{"$f":"BQ4","v":{"$error":"#REF!"}}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Possible outcomes are :",{"$f":"$AF$3","v":"blue, green"},null,null,null,null,null,null,null,null,null,null,2,6,"green, white","No",{"$f":"COUNTIF(AQ4:AQ13,AI5)","v":0},1,0,1,{"$f":"IF(AI5=AQ2,1,0)","v":1},{"$f":"IF(AI5<AI2,1,0)","v":1},{"$f":"IF(AI5>AI2,1,0)","v":0},{"$f":"IF(AI5<=AI2,1,0)","v":1},{"$f":"IF(AI5>=AI2,1,0)","v":0},{"$f":"E4","v":0},{"$f":"VLOOKUP(AQ5,AI4:AP24,AI3+1)","v":0},6,{"$f":"LCM(AS4,AS5)","v":0},{"$f":"AS5/AT4","v":1},{"$f":"IF(AS4=0,\"\",IF(AS6=1,\"\",AU5))","v":""},null,null,0,null,null,null,null,null,null,null,null,{"$f":"COUNTIF(BQ4:BQ13,BI5)","v":0},1,0,1,{"$f":"IF(BI5=$BQ$2,1,0)","v":1},{"$f":"IF(BI5<$BI$2,1,0)","v":1},{"$f":"IF(BI5>$BI$2,1,0)","v":0},{"$f":"IF(BI5<=$BI$2,1,0)","v":1},{"$f":"IF(BI5>=$BI$2,1,0)","v":0},{"$f":"#REF!","v":{"$error":"#REF!"}},{"$error":"#REF!"},8,{"$f":"LCM(BS4,BS5)","v":0},{"$f":"BS5/BT4","v":1},{"$f":"IF(BS4=0,\"\",IF(BS6=1,\"\",BU5))","v":""},null,null,{"$error":"#REF!"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Are they equally likely? :",{"$f":"$AG$3","v":"Yes, 1 of each"},null,null,null,null,null,null,null,null,null,null,3,7,"blue, green, white","Yes, 1 of each",{"$f":"COUNTIF(AQ4:AQ13,AI6)","v":0},2,1,0,{"$f":"IF(AI6=$AQ$2,1,0)","v":0},{"$f":"IF(AI6<$AI$2,1,0)","v":1},{"$f":"IF(AI6>$AI$2,1,0)","v":0},{"$f":"IF(AI6<=$AI$2,1,0)","v":1},{"$f":"IF(AI6>=$AI$2,1,0)","v":0},{"$f":"F4","v":0},{"$f":"VLOOKUP(AQ6,$AI$4:$AP$24,$AI$3+1)","v":0},{"$f":"AS4/AS5","v":0},null,null,null,null,null,0,null,null,null,null,null,null,null,null,{"$f":"COUNTIF(BQ4:BQ13,BI6)","v":0},2,1,0,0,1,0,1,0,{"$f":"#REF!","v":{"$error":"#REF!"}},{"$error":"#REF!"},{"$f":"BS4/BS5","v":0},null,null,null,null,null,{"$error":"#REF!"}]
[null,null,null,null,null,{"$f":"RAND()","v":0.81241219490116334},{"$f":"INT(10*RAND())+0","v":9},{"$f":"INT(10*RAND())+0","v":9},{"$f":"INT(10*RAND())+0","v":1},{"$f":"IF($M$7>0.66,G7,INT(10*RAND())+0)","v":9},{"$f":"IF($M$7>0.66,H7,INT(10*RAND())+0)","v":9},{"$f":"IF($M$7>0.66,I7,INT(10*RAND())+0)","v":1},{"$f":"RAND()","v":0.97273726817334083},null,null,null,null,null,null,null,null,null,null,null,{"$f":"$BV$5","v":""},null,null,null,null,4,8,"blue, white","No",{"$f":"COUNTIF(AQ4:AQ13,AI7)","v":0},3,1,1,0,1,0,1,0,{"$f":"G4","v":0},0,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,{"$f":"COUNTIF(BQ4:BQ13,BI7)","v":0},3,1,1,0,1,0,1,0,{"$f":"#REF!","v":{"$error":"#REF!"}},{"$error":"#REF!"},null,null,null,null,null,null,{"$error":"#REF!"}]
[null,null,null,null,null,null,{"$f":"IF(F7>0.7,INT(5*RAND())+0,G7)","v":4},{"$f":"IF($F$7>0.7,G8+1,H7)","v":5},{"$f":"IF($F$7>0.7,H8+1,I7)","v":6},{"$f":"IF($F$7>0.7,I8+1,J7)","v":7},{"$f":"IF($F$7>0.7,J8+1,K7)","v":8},{"$f":"IF($F$7>0.7,K8+1,L7)","v":9},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,10,"green, white","Yes, 2 of each",{"$f":"COUNTIF(AQ4:AQ13,AI8)","v":0},4,0,0,0,1,0,1,0,{"$f":"H4","v":0},0,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,{"$f":"COUNTIF(BQ4:BQ13,BI8)","v":0},4,0,0,0,1,0,1,0,{"$f":"U4","v":0},"X",null,null,null,null,null,null,0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Possible outcomes are :",{"$f":"AP30","v":"4, 5, 6, 7, 8, 9"},null,null,null,null,null,null,null,null,null,null,6,11,"blue, green, white","No",{"$f":"COUNTIF(AQ4:AQ13,AI9)","v":0},5,1,1,0,1,0,1,0,{"$f":"I4","v":0},0,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,{"$f":"COUNTIF(BQ4:BQ13,BI9)","v":0},5,1,1,0,0,0,1,1,{"$f":"V4","v":0},"X",null,null,null,null,null,null,0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Are they equally likely? :",{"$f":"IF(AS31=6,CONCATENATE(\"Yes, \",AS29,\" of each\"),\"No\")","v":"Yes, 1 of each"},null,null,null,null,null,null,null,null,null,null,7,12,"blue, green, white","No",{"$f":"COUNTIF(AQ4:AQ13,AI10)","v":0},6,0,0,0,1,0,1,0,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"COUNTIF(BQ4:BQ13,BI10)","v":0},6,0,0,0,0,1,0,1,{"$f":"W4","v":0},"X",null,null,null,null,null,null,0]
[null,null,null,null,null,null,null,null,{"$f":"INT(3*RAND())+1","v":1},{"$f":"INT(3*RAND())+1","v":2},null,"x",{"$f":"IF(I11=1,\"●\",\"\")","v":"●"},"","x","x",{"$f":"IF(I11=2,\"●\",\"\")","v":""},"●","x","x",{"$f":"IF(I11=3,\"●\",\"\")","v":""},"","x",1,{"$f":"COUNTIF(H11:K13,1)","v":3},null,null,null,null,8,13,"blue, white","No",{"$f":"COUNTIF(AQ4:AQ13,AI11)","v":0},7,1,1,0,1,0,1,0,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"COUNTIF(BQ4:BQ13,BI11)","v":0},7,1,1,0,0,1,0,1,{"$f":"#REF!","v":{"$error":"#REF!"}},{"$error":"#REF!"},null,null,null,null,null,null,{"$error":"#REF!"}]
[null,null,null,null,null,null,null,{"$f":"INT(3*RAND())+1","v":1},{"$f":"INT(3*RAND())+1","v":1},{"$f":"INT(3*RAND())+1","v":2},{"$f":"INT(3*RAND())+1","v":3},{"$f":"IF(H12=1,\"●\",\"\")","v":"●"},"●","",{"$f":"IF(K12=1,\"●\",\"\")","v":""},{"$f":"IF(H12=2,\"●\",\"\")","v":""},"","●",{"$f":"IF(K12=2,\"●\",\"\")","v":""},{"$f":"IF(H12=3,\"●\",\"\")","v":""},"","",{"$f":"IF(K12=3,\"●\",\"\")","v":"●"},2,{"$f":"COUNTIF(H11:K13,2)","v":4},null,null,null,null,9,15,"green, white","No",{"$f":"COUNTIF(AQ4:AQ13,AI12)","v":0},8,0,0,0,1,0,1,0,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"COUNTIF(BQ4:BQ13,BI12)","v":0},8,0,0,0,0,1,0,1,null,"X"]
[{"$f":"A2","v":4},null,"●","●",null,null,null,{"$f":"INT(3*RAND())+1","v":2},{"$f":"INT(2*RAND())+2","v":3},{"$f":"INT(2*RAND())+2","v":2},{"$f":"INT(3*RAND())+1","v":3},{"$f":"IF(H13=1,\"●\",\"\")","v":""},"","",{"$f":"IF(K13=1,\"●\",\"\")","v":""},{"$f":"IF(H13=2,\"●\",\"\")","v":"●"},"","●",{"$f":"IF(K13=2,\"●\",\"\")","v":""},{"$f":"IF(H13=3,\"●\",\"\")","v":""},"●","",{"$f":"IF(K13=3,\"●\",\"\")","v":"●"},3,{"$f":"COUNTIF(H11:K13,3)","v":3},null,null,null,null,10,16,"blue, green, white","No",{"$f":"MAX(AH5:AH12)","v":0},9,0,1,0,1,0,1,0,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"MAX(BH5:BH12)","v":0},9,0,1,0,0,1,0,1,null,"X"]
[null,"●","●","●","●",null,null,null,null,null,null,null,null,null,null,null,null,"Possible outcomes are :",{"$f":"IF(AND(Y13>0,Y12>0),\"green, purple\",IF(AND(Y13=0,Y12>0),\"green\",IF(AND(Y13>0,Y12=0),\"purple\",\"NIL\")))","v":"green, purple"},null,null,null,null,null,null,null,null,null,null,11,17,"blue, green, white","No",{"$f":"IF(AH13=AH5,AI5,IF(AH13=AH6,AI6,IF(AH13=AH7,AI7,IF(AH13=AH8,AI8,IF(AH13=AH9,AI9,IF(AH13=AH10,AI10,IF(AH13=AH11,AI11,AI12)))))))","v":1},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(BH13=BH5,BI5,IF(BH13=BH6,BI6,IF(BH13=BH7,BI7,IF(BH13=BH8,BI8,IF(BH13=BH9,BI9,IF(BH13=BH10,BI10,IF(BH13=BH11,BI11,BI12)))))))","v":1}]
[null,"●","●","●","●",null,null,null,null,null,null,null,null,null,null,null,null,"Are they equally likely? :",{"$f":"IF(Y12=Y13,CONCATENATE(\"Yes, \",Y12,\" of each\"),\"No\")","v":"No"},null,null,null,null,null,null,null,null,null,null,12,18,"blue, green, white","No"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13,19,"blue, white","No"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,14,21,"green, white","Yes, 3 of each",null,null,{"$f":"G8","v":4},5,6,7,8,9]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,15,22,"blue, green, white","No",null,null,1,2,3,4,5,6]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,16,23,"blue, green, white","Yes, 2 of each",null,0,{"$f":"IF($AJ$17=AI19,1,0)","v":0},{"$f":"IF($AK$17=AI19,1,0)","v":0},{"$f":"IF($AL$17=AI19,1,0)","v":0},{"$f":"IF($AM$17=AI19,1,0)","v":0},{"$f":"IF($AN$17=AI19,1,0)","v":0},{"$f":"IF($AO$17=AI19,1,0)","v":0},{"$f":"SUM(AJ19:AO19)","v":0},{"$f":"IF(AND(AP19>0,SUM(AP20:$AP$28)>0),\", \",\"\")","v":""},{"$f":"IF(AP19>0,AI19,\"\")","v":""},{"$f":"IF(AP19>0,AP19,\"\")","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,17,24,"blue, green, white","No",null,1,{"$f":"IF($AJ$17=AI20,1,0)","v":0},{"$f":"IF($AK$17=AI20,1,0)","v":0},{"$f":"IF($AL$17=AI20,1,0)","v":0},{"$f":"IF($AM$17=AI20,1,0)","v":0},{"$f":"IF($AN$17=AI20,1,0)","v":0},{"$f":"IF($AO$17=AI20,1,0)","v":0},{"$f":"SUM(AJ20:AO20)","v":0},{"$f":"IF(AND(AP20>0,SUM(AP21:$AP$28)>0),\", \",\"\")","v":""},{"$f":"IF(AP20>0,AI20,\"\")","v":""},{"$f":"IF(AP20>0,AP20,\"\")","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,18,25,"blue, green, white","No",null,2,0,0,0,0,0,0,0,{"$f":"IF(AND(AP21>0,SUM(AP22:$AP$28)>0),\", \",\"\")","v":""},{"$f":"IF(AP21>0,AI21,\"\")","v":""},{"$f":"IF(AP21>0,AP21,\"\")","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,19,26,"blue, white","No",null,3,0,0,0,0,0,0,0,{"$f":"IF(AND(AP22>0,SUM(AP23:$AP$28)>0),\", \",\"\")","v":""},"",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,20,28,"green, white","No",null,4,1,0,0,0,0,0,1,{"$f":"IF(AND(AP23>0,SUM(AP24:$AP$28)>0),\", \",\"\")","v":", "},4,1]
[null,null,null,null,null,null,null,1,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,21,29,"blue, green, white","No",null,5,0,1,0,0,0,0,1,{"$f":"IF(AND(AP24>0,SUM(AP25:$AP$28)>0),\", \",\"\")","v":", "},5,1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,22,30,"blue, green, white","No",null,6,0,0,1,0,0,0,1,{"$f":"IF(AND(AP25>0,SUM(AP26:$AP$28)>0),\", \",\"\")","v":", "},6,1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,23,31,"blue, green, white","No",null,7,0,0,0,1,0,0,1,{"$f":"IF(AND(AP26>0,SUM(AP27:$AP$28)>0),\", \",\"\")","v":", "},7,1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,24,32,"blue, green, white","No",null,8,0,0,0,0,1,0,1,{"$f":"IF(AND(AP27>0,SUM(AP28:$AP$28)>0),\", \",\"\")","v":", "},8,1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,25,33,"blue, green, white","No",null,9,0,0,0,0,0,1,1,"",9,1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,26,34,"blue, white","No",null,null,null,null,null,null,null,null,null,null,null,{"$f":"MAX(AS19:AS28)","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,27,36,"green, white","Yes, 4 of each",null,null,null,null,null,null,null,null,{"$f":"CONCATENATE(AR19,AQ19,AR20,AQ20,AR21,AQ21,AR22,AQ22,AR23,AQ23,AR24,AQ24,AR25,AQ25,AR26,AQ26,AR27,AQ27,AR28,AQ28)","v":"4, 5, 6, 7, 8, 9"},null,null,{"$f":"COUNTIF(AS19:AS28,AS29)","v":6}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,28,37,"blue, green, white","No",null,null,null,null,null,null,null,null,null,null,null,{"$f":"AS30*AS29","v":6}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,29,38,"blue, green, white","No"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,30,39,"blue, green, white","No"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,31,40,"blue, green, white","No"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,32,41,"blue, green, white","No"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,33,42,"blue, green, white","No"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,34,43,"blue, white","No"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,35,45,"green, white","No"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,36,46,"blue, green, white","No"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,37,47,"blue, green, white","No"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,38,48,"blue, green, white","Yes, 3 of each"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,39,49,"blue, green, white","No"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,40,50,"blue, green, white","No"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,41,51,"blue, green, white","No"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,42,52,"blue, green, white","No"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,43,53,"blue, white","No"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,44,55,"green, white","Yes, 5 of each"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,45,56,"blue, green, white","No"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,46,57,"blue, green, white","No"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,47,58,"blue, green, white","No"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,48,59,"blue, green, white","No"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,49,60,"blue, green, white","No"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,50,61,"blue, green, white","No"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,51,62,"blue, green, white","No"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,52,63,"blue, green, white","No"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,53,64,"blue, white","No"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,54,66,"green, white","No",null,null,null,{"$f":"-0.3/2.7","v":-0.1111111111111111},0.4,{"$f":"10*$AS$6+AK57","v":-0.1111111111111111},{"$f":"AL57-1.5+AU60","v":-11.1},{"$f":"10*$BS$6+AK57","v":-0.1111111111111111},{"$f":"AL57-1.5+AW60","v":-11.1},{"$f":"10*$CL$78+AK57","v":4.8888888888888893},{"$f":"AL57-1.5+AY60","v":-11.1}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,55,67,"blue, green, white","No",null,null,null,0,0,{"$f":"10*$AS$6+AK58","v":0},{"$f":"AL58-1.5+AU60","v":-11.5},{"$f":"10*$BS$6+AK58","v":0},{"$f":"AL58-1.5+AW60","v":-11.5},{"$f":"10*$CL$78+AK58","v":5},{"$f":"AL58-1.5+AY60","v":-11.5},null,null,{"$f":"DYNOFRACT!AU62","v":0.25},null,{"$f":"DYNOFRACT!AW62","v":0.25},null,{"$f":"DYNOFRACT!AY62","v":0.25}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,56,68,"blue, green, white","No",null,null,null,{"$f":"0.3/2.7","v":0.1111111111111111},0.4,{"$f":"10*$AS$6+AK59","v":0.1111111111111111},{"$f":"AL59-1.5+AU60","v":-11.1},{"$f":"10*$BS$6+AK59","v":0.1111111111111111},{"$f":"AL59-1.5+AW60","v":-11.1},{"$f":"10*$CL$78+AK59","v":5.1111111111111107},{"$f":"AL59-1.5+AY60","v":-11.1},null,null,{"$f":"IF(AU60=-10,\"\",\"a\")","v":""},null,{"$f":"IF(AW60=-10,\"\",\"b\")","v":""},null,{"$f":"IF(AY60=-10,\"\",\"c\")","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,57,69,"blue, green, white","No",null,null,null,0,0,{"$f":"10*$AS$6+AK60","v":0},{"$f":"AL60-1.5+AU60","v":-11.5},{"$f":"10*$BS$6+AK60","v":0},{"$f":"AL60-1.5+AW60","v":-11.5},{"$f":"10*$CL$78+AK60","v":5},{"$f":"AL60-1.5+AY60","v":-11.5},null,{"$f":"10*$AS$6","v":0},-10,{"$f":"10*BS6","v":0},-10,{"$f":"10*CL78","v":5},-10]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,58,70,"blue, green, white","No",null,null,null,0,0.8,{"$f":"10*$AS$6+AK61","v":0},{"$f":"AL61-1.5+AU60","v":-10.7},{"$f":"10*$BS$6+AK61","v":0},{"$f":"AL61-1.5+AW60","v":-10.7},{"$f":"10*$CL$78+AK61","v":5},{"$f":"AL61-1.5+AY60","v":-10.7},null,{"$f":"0.1/1.4","v":7.1428571428571438E-2},{"$f":"0.2/1.4","v":0.14285714285714288},{"$f":"0.1/1.4","v":7.1428571428571438E-2},{"$f":"0.2/1.4","v":0.14285714285714288},{"$f":"0.1/1.4","v":7.1428571428571438E-2},{"$f":"0.2/1.4","v":0.14285714285714288}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,59,71,"blue, green, white","No",null,null,null,null,null,"a","a","b","b","c","c",null,"a","a","b","b","c","c"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,60,72,"blue, green, white","No",null,null,null,null,null,-1,1.1499999999999999,-1.2,3,1.25,1,null,{"$f":"$AT$60+$AT$61*AM63","v":-7.1428571428571438E-2},{"$f":"$AU$60+$AU$61*AN63-$AU$58","v":-10.085714285714285},{"$f":"$AV$60+$AV$61*AO63","v":-8.5714285714285729E-2},{"$f":"$AW$60+$AW$61*AP63-$AW$58","v":-9.8214285714285712},{"$f":"$AX$60+$AX$61*AQ63","v":5.0892857142857144},{"$f":"$AY$60+$AY$61*AR63-$AY$58","v":-10.107142857142858}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,61,73,"blue, green, white","No",null,null,null,null,null,0,1.75,{"$f":"AO63","v":-1.2},-1.325,1,1.5,null,0,-10,-8.5714285714285729E-2,-10.439285714285715,5.0714285714285712,-10.035714285714286]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,62,74,"blue, green, white","No",null,null,null,null,null,0.8,1.45,{"$f":"AO63","v":-1.2},-0.6,0,1.75,null,5.7142857142857155E-2,-10.042857142857143,-8.5714285714285729E-2,-10.335714285714285,5,-10]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,63,75,"blue, green, white","No",null,null,null,null,null,1,0.5,{"$f":"AO63","v":-1.2},{"$f":"AP65","v":-0.6},-1,1.2,null,7.1428571428571438E-2,-10.178571428571429,-8.5714285714285729E-2,-10.335714285714285,4.9285714285714288,-10.078571428571429]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,64,76,"blue, white","No",null,null,null,null,null,1,-1.2,0,-1.4,-1.25,0.2,null,7.1428571428571438E-2,-10.421428571428571,0,-10.45,4.9107142857142856,-10.221428571428572]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,65,78,"green, white","Yes, 6 of each",null,null,null,null,null,1,-0.6,1,-1,-1,-0.8,null,7.1428571428571438E-2,-10.335714285714285,7.1428571428571438E-2,-10.392857142857142,4.9285714285714288,-10.364285714285714]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,66,79,"blue, green, white","No",null,null,null,null,null,0,-1.2,1.25,0,0,-1.35,null,0,-10.421428571428571,8.9285714285714302E-2,-10.25,5,-10.442857142857143]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,67,80,"blue, green, white","No",null,null,null,null,null,-1,-1,1,1.25,1,-1,null,-7.1428571428571438E-2,-10.392857142857142,7.1428571428571438E-2,-10.071428571428571,5.0714285714285712,-10.392857142857142]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,68,81,"blue, green, white","No",null,null,null,null,null,-1,0,0,1.75,1.35,-0.5,null,-7.1428571428571438E-2,-10.25,0,-10,5.0964285714285715,-10.321428571428571]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,69,82,"blue, green, white","Yes, 4 of each",null,null,null,null,null,0,0.3,{"$f":"AO63","v":-1.2},0.8,1.35,-0.5,null,0,-10.207142857142857,-8.5714285714285729E-2,-10.135714285714286,5.0964285714285715,-10.321428571428571]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,70,83,"blue, green, white","No",null,null,null,null,null,1,0.6,{"$f":"AO63","v":-1.2},0.8,1.35,-0.5,null,7.1428571428571438E-2,-10.164285714285715,-8.5714285714285729E-2,-10.135714285714286,5.0964285714285715,-10.321428571428571,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"CX73*8+CY73","v":7},null,{"$f":"1*INT(9*RAND())+1","v":7}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,71,84,"blue, green, white","No",null,null,null,null,null,1,0.6,{"$f":"AO63","v":-1.2},0.8,1.35,-0.5,null,7.1428571428571438E-2,-10.164285714285715,-8.5714285714285729E-2,-10.135714285714286,5.0964285714285715,-10.321428571428571]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,72,85,"blue, green, white","No",null,null,null,null,null,1,0.6,{"$f":"AO63","v":-1.2},0.8,1.35,-0.5,null,7.1428571428571438E-2,-10.164285714285715,-8.5714285714285729E-2,-10.135714285714286,5.0964285714285715,-10.321428571428571]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,73,86,"blue, green, white","No",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,47,"ABACUS","A, B, C, U, S","No",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,10,30,19,5,3.8,20,20,20,19]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,52,"RABBIT","R, A, B, I, T","No",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,35,11,6,1.8333333333333333,27,26,21,21]
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[{"$f":"AE3","v":58},"Find all possible mutually exclusive outcomes",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AE183","v":5},0.5,null,null,null,"x",1,2,3,4,5,6,7,{"$f":"AH14","v":1},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"INT(8*O1)+1","v":5},1,2,3,4,5,6,7,{"$f":"BH14","v":1}]
[null,"when one card or letter is chosen at random.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"B4","v":47},null,null,null,null,null,{"$f":"IF(RAND()>AE2,AD2,X3)","v":47},{"$f":"VLOOKUP($AD$3,$AD$4:$AG$79,2)","v":58},{"$f":"VLOOKUP($AD$3,$AD$4:$AG$79,3)","v":"blue, green, white"},{"$f":"VLOOKUP($AD$3,$AD$4:$AG$79,4)","v":"No"},null,3,"P(prime №) =","P(odd №) =",{"$f":"CONCATENATE(\"P(\",AQ2,\") =\")","v":"P(1) ="},{"$f":"CONCATENATE(\"P(№ < \",AI2,\") =\")","v":"P(№ < x) ="},{"$f":"CONCATENATE(\"P(№ > \",AI2,\") =\")","v":"P(№ > x) ="},{"$f":"CONCATENATE(\"P(№ ≤ \",AI2,\") =\")","v":"P(№ ≤ x) ="},{"$f":"CONCATENATE(\"P(№ ≥ \",AI2,\") =\")","v":"P(№ ≥ x) ="},"№",null,null,null,null,null,null,null,"№",null,null,null,null,null,null,null,null,null,{"$f":"INT(4*P1)+4","v":5},"P(prime №) =","P(odd №) =",{"$f":"CONCATENATE(\"P(\",BQ2,\") =\")","v":"P(1) ="},{"$f":"CONCATENATE(\"P(№ < \",BI2,\") =\")","v":"P(№ < 5) ="},{"$f":"CONCATENATE(\"P(№ > \",BI2,\") =\")","v":"P(№ > 5) ="},{"$f":"CONCATENATE(\"P(№ ≤ \",BI2,\") =\")","v":"P(№ ≤ 5) ="},{"$f":"CONCATENATE(\"P(№ ≥ \",BI2,\") =\")","v":"P(№ ≥ 5) ="},"№",null,null,null,null,null,null,null,"№"]
[null,{"$f":"INT(76*RAND())+1","v":47},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(S6=\"No\",\"\",\"*\")","v":""},{"$f":"IF(S10=\"No\",\"\",\"*\")","v":""},{"$f":"IF(AG81=\"No\",\"\",\"*\")","v":""},null,null,1,4,"blue, green","Yes, 1 of each",null,0,"X","X","X","X","X","X","X",{"$f":"D4","v":0},{"$f":"VLOOKUP(AQ4,AI4:AP24,AI3+1)","v":0},{"$f":"COUNTIF(AR4:AR13,1)","v":0},{"$f":"GCD(AS4,AS5)","v":6},{"$f":"AS4/AT4","v":0},{"$f":"IF(AS4=0,0,AU4)","v":0},{"$f":"IF(AS4=0,CONCATENATE(\" \",AV4,\" \"),IF(AS6=1,CONCATENATE(\" \",AV4,\" \"),\"X\"))","v":" 0 "},null,{"$f":"AQ4","v":0},null,null,null,null,null,null,null,null,null,0,"X","X","X","X","X","X","X",{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"VLOOKUP(BQ4,$BI$4:$BP$24,$BI$3+1)","v":{"$error":"#REF!"}},{"$f":"COUNTIF(BR4:BR13,1)","v":0},{"$f":"GCD(BS4,BS5)","v":8},{"$f":"BS4/BT4","v":0},{"$f":"IF(BS4=0,0,BU4)","v":0},{"$f":"IF(BS4=0,CONCATENATE(\" \",BV4,\" \"),IF(BS6=1,CONCATENATE(\" \",BV4,\" \"),\"X\"))","v":" 0 "},null,{"$f":"BQ4","v":{"$error":"#REF!"}}]
[null,{"$f":"IF(F12=1,\"●\",IF(F12=2,\"■\",IF(F12=3,\"♥\",\"⊿\")))","v":"●"},{"$f":"IF(G12=1,\"●\",IF(G12=2,\"■\",IF(G12=3,\"♥\",\"⊿\")))","v":"●"},{"$f":"IF(H12=1,\"●\",IF(H12=2,\"■\",IF(H12=3,\"♥\",\"⊿\")))","v":"●"},{"$f":"IF(I12=1,\"●\",IF(I12=2,\"■\",IF(I12=3,\"♥\",\"⊿\")))","v":"♥"},null,null,null,null,null,null,null,null,null,null,null,null,"Possible outcomes are :",{"$f":"CONCATENATE($D$19)","v":"●, ■, ♥, ⊿"},null,null,null,null,null,null,null,null,null,null,2,6,"green, white","No",{"$f":"COUNTIF(AQ4:AQ13,AI5)","v":0},1,0,1,{"$f":"IF(AI5=AQ2,1,0)","v":1},{"$f":"IF(AI5<AI2,1,0)","v":1},{"$f":"IF(AI5>AI2,1,0)","v":0},{"$f":"IF(AI5<=AI2,1,0)","v":1},{"$f":"IF(AI5>=AI2,1,0)","v":0},{"$f":"E4","v":0},{"$f":"VLOOKUP(AQ5,AI4:AP24,AI3+1)","v":0},6,{"$f":"LCM(AS4,AS5)","v":0},{"$f":"AS5/AT4","v":1},{"$f":"IF(AS4=0,\"\",IF(AS6=1,\"\",AU5))","v":""},null,null,0,null,null,null,null,null,null,null,null,{"$f":"COUNTIF(BQ4:BQ13,BI5)","v":0},1,0,1,{"$f":"IF(BI5=$BQ$2,1,0)","v":1},{"$f":"IF(BI5<$BI$2,1,0)","v":1},{"$f":"IF(BI5>$BI$2,1,0)","v":0},{"$f":"IF(BI5<=$BI$2,1,0)","v":1},{"$f":"IF(BI5>=$BI$2,1,0)","v":0},{"$f":"#REF!","v":{"$error":"#REF!"}},{"$error":"#REF!"},8,{"$f":"LCM(BS4,BS5)","v":0},{"$f":"BS5/BT4","v":1},{"$f":"IF(BS4=0,\"\",IF(BS6=1,\"\",BU5))","v":""},null,null,{"$error":"#REF!"}]
[null,{"$f":"IF(J12=1,\"●\",IF(J12=2,\"■\",IF(J12=3,\"♥\",\"⊿\")))","v":"⊿"},{"$f":"IF(K12=1,\"●\",IF(K12=2,\"■\",IF(K12=3,\"♥\",\"⊿\")))","v":"⊿"},{"$f":"IF(L12=1,\"●\",IF(L12=2,\"■\",IF(L12=3,\"♥\",\"⊿\")))","v":"■"},{"$f":"IF(M12=1,\"●\",IF(M12=2,\"■\",IF(M12=3,\"♥\",\"⊿\")))","v":"⊿"},null,null,null,null,null,null,null,null,null,null,null,null,"Are they equally likely? :",{"$f":"E19","v":"No"},null,null,null,null,null,null,null,null,null,null,3,7,"blue, green, white","Yes, 1 of each",{"$f":"COUNTIF(AQ4:AQ13,AI6)","v":0},2,1,0,{"$f":"IF(AI6=$AQ$2,1,0)","v":0},{"$f":"IF(AI6<$AI$2,1,0)","v":1},{"$f":"IF(AI6>$AI$2,1,0)","v":0},{"$f":"IF(AI6<=$AI$2,1,0)","v":1},{"$f":"IF(AI6>=$AI$2,1,0)","v":0},{"$f":"F4","v":0},{"$f":"VLOOKUP(AQ6,$AI$4:$AP$24,$AI$3+1)","v":0},{"$f":"AS4/AS5","v":0},null,null,null,null,null,0,null,null,null,null,null,null,null,null,{"$f":"COUNTIF(BQ4:BQ13,BI6)","v":0},2,1,0,0,1,0,1,0,{"$f":"#REF!","v":{"$error":"#REF!"}},{"$error":"#REF!"},{"$f":"BS4/BS5","v":0},null,null,null,null,null,{"$error":"#REF!"}]
[null,null,null,null,null,null,{"$f":"INT(10*RAND())+0","v":6},{"$f":"INT(10*RAND())+0","v":1},{"$f":"INT(10*RAND())+0","v":5},{"$f":"IF($M$7>0.66,G7,INT(10*RAND())+0)","v":4},{"$f":"IF($M$7>0.66,H7,INT(10*RAND())+0)","v":8},{"$f":"IF($M$7>0.66,I7,INT(10*RAND())+0)","v":7},{"$f":"RAND()","v":0.44450279738811471},null,null,null,null,null,null,null,null,null,null,null,{"$f":"$BV$5","v":""},null,null,null,null,4,8,"blue, white","No",{"$f":"COUNTIF(AQ4:AQ13,AI7)","v":0},3,1,1,0,1,0,1,0,{"$f":"G4","v":0},0,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,{"$f":"COUNTIF(BQ4:BQ13,BI7)","v":0},3,1,1,0,1,0,1,0,{"$f":"#REF!","v":{"$error":"#REF!"}},{"$error":"#REF!"},null,null,null,null,null,null,{"$error":"#REF!"}]
[null,null,{"$f":"B16","v":4},{"$f":"C16","v":3},null,null,{"$f":"IF(F7>0.7,INT(5*RAND())+0,G7)","v":6},{"$f":"IF($F$7>0.7,G8+1,H7)","v":1},{"$f":"IF($F$7>0.7,H8+1,I7)","v":5},{"$f":"IF($F$7>0.7,I8+1,J7)","v":4},{"$f":"IF($F$7>0.7,J8+1,K7)","v":8},{"$f":"IF($F$7>0.7,K8+1,L7)","v":7},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,10,"green, white","Yes, 2 of each",{"$f":"COUNTIF(AQ4:AQ13,AI8)","v":0},4,0,0,0,1,0,1,0,{"$f":"H4","v":0},0,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,{"$f":"COUNTIF(BQ4:BQ13,BI8)","v":0},4,0,0,0,1,0,1,0,{"$f":"U4","v":0},"X",null,null,null,null,null,null,0]
[null,{"$f":"D16","v":6},{"$f":"E16","v":4},{"$f":"F16","v":3},{"$f":"G16","v":1},null,null,null,null,null,null,null,null,null,null,null,null,"Possible outcomes are :",{"$f":"CONCATENATE($C$19)","v":"1, 3, 4, 5, 6"},null,null,null,null,null,null,null,null,null,null,6,11,"blue, green, white","No",{"$f":"COUNTIF(AQ4:AQ13,AI9)","v":0},5,1,1,0,1,0,1,0,{"$f":"I4","v":0},0,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,{"$f":"COUNTIF(BQ4:BQ13,BI9)","v":0},5,1,1,0,0,0,1,1,{"$f":"V4","v":0},"X",null,null,null,null,null,null,0]
[null,{"$f":"H16","v":4},{"$f":"I16","v":6},{"$f":"J16","v":5},{"$f":"K16","v":1},null,null,null,null,null,null,null,null,null,null,null,null,"Are they equally likely? :",{"$f":"F19","v":"No"},null,null,null,null,null,null,null,null,null,null,7,12,"blue, green, white","No",{"$f":"COUNTIF(AQ4:AQ13,AI10)","v":0},6,0,0,0,1,0,1,0,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"COUNTIF(BQ4:BQ13,BI10)","v":0},6,0,0,0,0,1,0,1,{"$f":"W4","v":0},"X",null,null,null,null,null,null,0]
[null,null,{"$f":"L16","v":6},{"$f":"M16","v":4},null,{"$f":"IF(F12=1,\"●\",\"\")","v":"●"},{"$f":"IF(G12=1,\"●\",\"\")","v":"●"},"●","","","","","",{"$f":"IF(F12=2,\"■\",\"\")","v":""},{"$f":"IF(G12=2,\"■\",\"\")","v":""},"","","","","■","",{"$f":"IF(V12=0,0,1)","v":1},{"$f":"IF(W12=0,0,1)","v":1},{"$f":"IF(X12=0,0,1)","v":1},{"$f":"IF(Y12=0,0,1)","v":1},{"$f":"Y11+X11*2+W11*4+V11*8","v":15},null,null,null,8,13,"blue, white","No",{"$f":"COUNTIF(AQ4:AQ13,AI11)","v":0},7,1,1,0,1,0,1,0,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"COUNTIF(BQ4:BQ13,BI11)","v":0},7,1,1,0,0,1,0,1,{"$f":"X4","v":0},"X",null,null,null,null,null,null,0]
[null,null,null,null,null,{"$f":"INT(4*RAND())+1","v":1},1,1,3,4,4,2,4,{"$f":"IF(F12=3,\"♥\",\"\")","v":""},{"$f":"IF(G12=3,\"♥\",\"\")","v":""},"","♥","","","","",{"$f":"COUNTIF($F$12:$M$12,1)","v":3},{"$f":"COUNTIF($F$12:$M$12,2)","v":1},{"$f":"COUNTIF($F$12:$M$12,3)","v":1},{"$f":"COUNTIF($F$12:$M$12,4)","v":3},null,null,null,null,9,15,"green, white","No",{"$f":"COUNTIF(AQ4:AQ13,AI12)","v":0},8,0,0,0,1,0,1,0,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"COUNTIF(BQ4:BQ13,BI12)","v":0},8,0,0,0,0,1,0,1,null,"X"]
[{"$f":"A2","v":58},{"$f":"CONCATENATE(\"A letter is randomly chosen from the word \",AE81,\"\")","v":"A letter is randomly chosen from the word SPOONS"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,10,16,"blue, green, white","No",{"$f":"MAX(AH5:AH12)","v":0},9,0,1,0,1,0,1,0,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"MAX(BH5:BH12)","v":0},9,0,1,0,0,1,0,1,null,"X"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Possible outcomes are :",{"$f":"AF81","v":"S, P, O, N"},null,null,null,null,null,null,null,null,null,null,11,17,"blue, green, white","No",{"$f":"IF(AH13=AH5,AI5,IF(AH13=AH6,AI6,IF(AH13=AH7,AI7,IF(AH13=AH8,AI8,IF(AH13=AH9,AI9,IF(AH13=AH10,AI10,IF(AH13=AH11,AI11,AI12)))))))","v":1},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(BH13=BH5,BI5,IF(BH13=BH6,BI6,IF(BH13=BH7,BI7,IF(BH13=BH8,BI8,IF(BH13=BH9,BI9,IF(BH13=BH10,BI10,IF(BH13=BH11,BI11,BI12)))))))","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Are they equally likely? :",{"$f":"AG81","v":"No"},null,null,null,null,null,null,null,null,null,null,12,18,"blue, green, white","No"]
[null,{"$f":"IF($N$16=1,INT(3*RAND())+1,IF($N$16=2,INT(4*RAND())+1,IF($N$16=3,INT(5*RAND())+1,INT(6*RAND())+1)))","v":4},{"$f":"IF($N$16=1,INT(3*RAND())+1,IF($N$16=2,INT(4*RAND())+1,IF($N$16=3,INT(5*RAND())+1,INT(6*RAND())+1)))","v":3},6,4,3,1,4,6,5,1,6,4,{"$f":"INT(4*RAND())+1","v":4},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13,19,"blue, white","No"]
[null,{"$f":"IF(B18=0,0,1)","v":1},0,1,1,1,1,{"$f":"G17*32+F17*16+E17*8+D17*4+C17*2+B17*1","v":61},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,14,21,"green, white","Yes, 3 of each",null,null,{"$f":"G8","v":6},1,5,4,8,7]
[null,{"$f":"COUNTIF($B$16:$M$16,1)","v":2},{"$f":"COUNTIF($B$16:$M$16,2)","v":0},{"$f":"COUNTIF($B$16:$M$16,3)","v":2},{"$f":"COUNTIF($B$16:$M$16,4)","v":4},{"$f":"COUNTIF($B$16:$M$16,5)","v":1},{"$f":"COUNTIF($B$16:$M$16,6)","v":3},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,15,22,"blue, green, white","No",null,null,1,2,3,4,5,6]
[null,{"$f":"H17","v":61},{"$f":"VLOOKUP($B$19,$B$20:$M$82,2)","v":"1, 3, 4, 5, 6"},{"$f":"VLOOKUP($Z$11,$B$20:$D$35,3)","v":"●, ■, ♥, ⊿"},{"$f":"VLOOKUP($Z$11,$B$20:$X$35,17)","v":"No"},{"$f":"VLOOKUP($B$19,$B$20:$Z$82,24)","v":"No"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,16,23,"blue, green, white","Yes, 2 of each",null,0,{"$f":"IF($AJ$17=AI19,1,0)","v":0},{"$f":"IF($AK$17=AI19,1,0)","v":0},{"$f":"IF($AL$17=AI19,1,0)","v":0},{"$f":"IF($AM$17=AI19,1,0)","v":0},{"$f":"IF($AN$17=AI19,1,0)","v":0},{"$f":"IF($AO$17=AI19,1,0)","v":0},{"$f":"SUM(AJ19:AO19)","v":0},{"$f":"IF(AND(AP19>0,SUM(AP20:$AP$28)>0),\", \",\"\")","v":""},{"$f":"IF(AP19>0,AI19,\"\")","v":""},{"$f":"IF(AP19>0,AP19,\"\")","v":""}]
[null,1,1,"⊿",null,0,0,0,0,0,1,{"$f":"K20*1+J20*2+I20*4+H20*8+G20*16+F20*32","v":1},{"$f":"L20-B20","v":0},null,null,null,{"$f":"$Y$12","v":3},"Yes, single outcome",null,null,null,null,null,{"$f":"$B$18","v":2},"Yes, single outcome",null,null,null,null,17,24,"blue, green, white","No",null,1,{"$f":"IF($AJ$17=AI20,1,0)","v":0},{"$f":"IF($AK$17=AI20,1,0)","v":1},{"$f":"IF($AL$17=AI20,1,0)","v":0},{"$f":"IF($AM$17=AI20,1,0)","v":0},{"$f":"IF($AN$17=AI20,1,0)","v":0},{"$f":"IF($AO$17=AI20,1,0)","v":0},{"$f":"SUM(AJ20:AO20)","v":1},{"$f":"IF(AND(AP20>0,SUM(AP21:$AP$28)>0),\", \",\"\")","v":", "},{"$f":"IF(AP20>0,AI20,\"\")","v":1},{"$f":"IF(AP20>0,AP20,\"\")","v":1}]
[null,{"$f":"B20+1","v":2},2,"♥",null,0,0,0,0,1,0,{"$f":"K21*1+J21*2+I21*4+H21*8+G21*16+F21*32","v":2},{"$f":"L21-B21","v":0},null,null,null,{"$f":"$X$12","v":1},"Yes, single outcome",null,null,null,null,null,{"$f":"$C$18","v":0},"Yes, single outcome",null,null,null,null,18,25,"blue, green, white","No",null,2,0,0,0,0,0,0,0,{"$f":"IF(AND(AP21>0,SUM(AP22:$AP$28)>0),\", \",\"\")","v":""},{"$f":"IF(AP21>0,AI21,\"\")","v":""},{"$f":"IF(AP21>0,AP21,\"\")","v":""}]
[null,{"$f":"B21+1","v":3},"1, 2","♥, ⊿",null,0,0,0,0,1,1,3,0,null,null,{"$f":"$X$12","v":1},{"$f":"$Y$12","v":3},{"$f":"IF(P22=Q22,CONCATENATE(\"Yes, \",P22,\" of each\"),\"No\")","v":"No"},null,null,null,null,{"$f":"$B$18","v":2},{"$f":"$C$18","v":0},{"$f":"IF(W22=X22,CONCATENATE(\"Yes, \",W22,\" of each\"),\"No\")","v":"No"},null,null,null,null,19,26,"blue, white","No",null,3,0,0,0,0,0,0,0,{"$f":"IF(AND(AP22>0,SUM(AP23:$AP$28)>0),\", \",\"\")","v":""},"",""]
[null,4,3,"■",null,0,0,0,1,0,0,4,0,null,null,null,{"$f":"$W$12","v":1},"Yes, single outcome",null,null,null,null,null,{"$f":"$D$18","v":2},"Yes, single outcome",null,null,null,null,20,28,"green, white","No",null,4,0,0,0,1,0,0,1,{"$f":"IF(AND(AP23>0,SUM(AP24:$AP$28)>0),\", \",\"\")","v":", "},4,1]
[null,5,"1, 3","■, ⊿",null,0,0,0,1,0,1,5,0,null,null,{"$f":"$W$12","v":1},{"$f":"$Y$12","v":3},{"$f":"IF(P24=Q24,CONCATENATE(\"Yes, \",P24,\" of each\"),\"No\")","v":"No"},null,null,null,null,{"$f":"$B$18","v":2},{"$f":"$D$18","v":2},{"$f":"IF(W24=X24,CONCATENATE(\"Yes, \",W24,\" of each\"),\"No\")","v":"Yes, 2 of each"},null,null,null,null,21,29,"blue, green, white","No",null,5,0,0,1,0,0,0,1,{"$f":"IF(AND(AP24>0,SUM(AP25:$AP$28)>0),\", \",\"\")","v":", "},5,1]
[null,6,"2, 3","■, ♥",null,0,0,0,1,1,0,6,0,null,null,{"$f":"$W$12","v":1},{"$f":"$X$12","v":1},{"$f":"IF(P25=Q25,CONCATENATE(\"Yes, \",P25,\" of each\"),\"No\")","v":"Yes, 1 of each"},null,null,null,null,{"$f":"$C$18","v":0},{"$f":"$D$18","v":2},{"$f":"IF(W25=X25,CONCATENATE(\"Yes, \",W25,\" of each\"),\"No\")","v":"No"},null,null,null,null,22,30,"blue, green, white","No",null,6,1,0,0,0,0,0,1,{"$f":"IF(AND(AP25>0,SUM(AP26:$AP$28)>0),\", \",\"\")","v":", "},6,1]
[null,7,"1, 2, 3","■, ♥, ⊿",null,0,0,0,1,1,1,7,0,null,{"$f":"$W$12","v":1},{"$f":"$X$12","v":1},{"$f":"$Y$12","v":3},{"$f":"IF(AND(P26=Q26,O26=Q26),CONCATENATE(\"Yes, \",P26,\" of each\"),\"No\")","v":"No"},null,null,null,{"$f":"$B$18","v":2},{"$f":"$C$18","v":0},{"$f":"$D$18","v":2},{"$f":"IF(AND(W26=X26,V26=X26),CONCATENATE(\"Yes, \",W26,\" of each\"),\"No\")","v":"No"},null,null,null,null,23,31,"blue, green, white","No",null,7,0,0,0,0,0,1,1,{"$f":"IF(AND(AP26>0,SUM(AP27:$AP$28)>0),\", \",\"\")","v":", "},7,1]
[null,8,4,"●",null,0,0,1,0,0,0,8,0,null,null,null,{"$f":"$V$12","v":3},"Yes, single outcome",null,null,null,null,null,{"$f":"$E$18","v":4},"Yes, single outcome",null,null,null,null,24,32,"blue, green, white","No",null,8,0,0,0,0,1,0,1,{"$f":"IF(AND(AP27>0,SUM(AP28:$AP$28)>0),\", \",\"\")","v":""},8,1]
[null,9,"1, 4","●, ⊿",null,0,0,1,0,0,1,9,0,null,null,{"$f":"$V$12","v":3},{"$f":"$Y$12","v":3},{"$f":"IF(P28=Q28,CONCATENATE(\"Yes, \",P28,\" of each\"),\"No\")","v":"Yes, 3 of each"},null,null,null,null,{"$f":"$B$18","v":2},4,{"$f":"IF(W28=X28,CONCATENATE(\"Yes, \",W28,\" of each\"),\"No\")","v":"No"},null,null,null,null,25,33,"blue, green, white","No",null,9,0,0,0,0,0,0,0,"","",""]
[null,10,"2, 4","●, ♥",null,0,0,1,0,1,0,10,0,null,null,{"$f":"$V$12","v":3},{"$f":"$X$12","v":1},{"$f":"IF(P29=Q29,CONCATENATE(\"Yes, \",P29,\" of each\"),\"No\")","v":"No"},null,null,null,null,{"$f":"$C$18","v":0},4,{"$f":"IF(W29=X29,CONCATENATE(\"Yes, \",W29,\" of each\"),\"No\")","v":"No"},null,null,null,null,26,34,"blue, white","No",null,null,null,null,null,null,null,null,null,null,null,{"$f":"MAX(AS19:AS28)","v":1}]
[null,11,"1, 2, 4","●, ♥, ⊿",null,0,0,1,0,1,1,11,0,null,{"$f":"$V$12","v":3},{"$f":"$X$12","v":1},{"$f":"$Y$12","v":3},{"$f":"IF(AND(P30=Q30,O30=Q30),CONCATENATE(\"Yes, \",P30,\" of each\"),\"No\")","v":"No"},null,null,null,{"$f":"$B$18","v":2},{"$f":"$C$18","v":0},4,{"$f":"IF(AND(W30=X30,V30=X30),CONCATENATE(\"Yes, \",W30,\" of each\"),\"No\")","v":"No"},null,null,null,null,27,36,"green, white","Yes, 4 of each",null,null,null,null,null,null,null,null,{"$f":"CONCATENATE(AR19,AQ19,AR20,AQ20,AR21,AQ21,AR22,AQ22,AR23,AQ23,AR24,AQ24,AR25,AQ25,AR26,AQ26,AR27,AQ27,AR28,AQ28)","v":"1, 4, 5, 6, 7, 8"},null,null,{"$f":"COUNTIF(AS19:AS28,AS29)","v":6}]
[null,12,"3, 4","●, ■",null,0,0,1,1,0,0,12,0,null,null,{"$f":"$V$12","v":3},{"$f":"$W$12","v":1},{"$f":"IF(P31=Q31,CONCATENATE(\"Yes, \",P31,\" of each\"),\"No\")","v":"No"},null,null,null,null,{"$f":"$D$18","v":2},4,{"$f":"IF(W31=X31,CONCATENATE(\"Yes, \",W31,\" of each\"),\"No\")","v":"No"},null,null,null,null,28,37,"blue, green, white","No",null,null,null,null,null,null,null,null,null,null,null,{"$f":"AS30*AS29","v":6}]
[null,13,"1, 3, 4","●, ■, ⊿",null,0,0,1,1,0,1,13,0,null,{"$f":"$V$12","v":3},{"$f":"$W$12","v":1},{"$f":"$Y$12","v":3},{"$f":"IF(AND(P32=Q32,O32=Q32),CONCATENATE(\"Yes, \",P32,\" of each\"),\"No\")","v":"No"},null,null,null,{"$f":"$B$18","v":2},{"$f":"$D$18","v":2},4,{"$f":"IF(AND(W32=X32,V32=X32),CONCATENATE(\"Yes, \",W32,\" of each\"),\"No\")","v":"No"},null,null,null,null,29,38,"blue, green, white","No"]
[null,14,"2, 3, 4","●, ■, ♥",null,0,0,1,1,1,0,14,0,null,{"$f":"$V$12","v":3},{"$f":"$W$12","v":1},{"$f":"$X$12","v":1},{"$f":"IF(AND(P33=Q33,O33=Q33),CONCATENATE(\"Yes, \",P33,\" of each\"),\"No\")","v":"No"},null,null,null,{"$f":"$C$18","v":0},{"$f":"$D$18","v":2},4,{"$f":"IF(AND(W33=X33,V33=X33),CONCATENATE(\"Yes, \",W33,\" of each\"),\"No\")","v":"No"},null,null,null,null,30,39,"blue, green, white","No"]
[null,15,"1, 2, 3, 4","●, ■, ♥, ⊿",null,0,0,1,1,1,1,15,0,{"$f":"$V$12","v":3},{"$f":"$W$12","v":1},{"$f":"$X$12","v":1},{"$f":"$Y$12","v":3},{"$f":"IF(AND(P34=Q34,O34=Q34,N34=Q34),CONCATENATE(\"Yes, \",P34,\" of each\"),\"No\")","v":"No"},null,null,{"$f":"$B$18","v":2},{"$f":"$C$18","v":0},{"$f":"$D$18","v":2},4,{"$f":"IF(AND(W34=X34,V34=X34,U34=X34),CONCATENATE(\"Yes, \",W34,\" of each\"),\"No\")","v":"No"},null,null,null,null,31,40,"blue, green, white","No"]
[null,16,5,"xxxx",null,0,1,0,0,0,0,16,0,null,null,null,null,null,null,null,null,null,null,{"$f":"$F$18","v":1},"Yes, single outcome",null,null,null,null,32,41,"blue, green, white","No"]
[null,17,"1, 5",null,null,0,1,0,0,0,1,17,0,null,null,null,null,null,null,null,null,null,{"$f":"$B$18","v":2},1,{"$f":"IF(W36=X36,CONCATENATE(\"Yes, \",W36,\" of each\"),\"No\")","v":"No"},null,null,null,null,33,42,"blue, green, white","No"]
[null,18,"2, 5",null,null,0,1,0,0,1,0,18,0,null,null,null,null,null,null,null,null,null,{"$f":"$C$18","v":0},1,{"$f":"IF(W37=X37,CONCATENATE(\"Yes, \",W37,\" of each\"),\"No\")","v":"No"},null,null,null,null,34,43,"blue, white","No"]
[null,19,"1, 2, 5",null,null,0,1,0,0,1,1,19,0,null,null,null,null,null,null,null,null,{"$f":"$B$18","v":2},{"$f":"$C$18","v":0},1,{"$f":"IF(AND(W38=X38,V38=X38),CONCATENATE(\"Yes, \",W38,\" of each\"),\"No\")","v":"No"},null,null,null,null,35,45,"green, white","No"]
[null,20,"3, 5",null,null,0,1,0,1,0,0,20,0,null,null,null,null,null,null,null,null,null,{"$f":"$D$18","v":2},1,{"$f":"IF(W39=X39,CONCATENATE(\"Yes, \",W39,\" of each\"),\"No\")","v":"No"},null,null,null,null,36,46,"blue, green, white","No"]
[null,21,"1, 3, 5",null,null,0,1,0,1,0,1,21,0,null,null,null,null,null,null,null,null,{"$f":"$B$18","v":2},{"$f":"$D$18","v":2},1,{"$f":"IF(AND(W40=X40,V40=X40),CONCATENATE(\"Yes, \",W40,\" of each\"),\"No\")","v":"No"},null,null,null,null,37,47,"blue, green, white","No"]
[null,22,"2, 3, 5",null,null,0,1,0,1,1,0,22,0,null,null,null,null,null,null,null,null,{"$f":"$C$18","v":0},{"$f":"$D$18","v":2},1,{"$f":"IF(AND(W41=X41,V41=X41),CONCATENATE(\"Yes, \",W41,\" of each\"),\"No\")","v":"No"},null,null,null,null,38,48,"blue, green, white","Yes, 3 of each"]
[null,23,"1, 2, 3, 5",null,null,0,1,0,1,1,1,23,0,null,null,null,null,null,null,null,{"$f":"$B$18","v":2},{"$f":"$C$18","v":0},{"$f":"$D$18","v":2},1,{"$f":"IF(AND(W42=X42,V42=X42,U42=X42),CONCATENATE(\"Yes, \",W42,\" of each\"),\"No\")","v":"No"},null,null,null,null,39,49,"blue, green, white","No"]
[null,24,"4, 5",null,null,0,1,1,0,0,0,24,0,null,null,null,null,null,null,null,null,null,{"$f":"$E$18","v":4},1,{"$f":"IF(W43=X43,CONCATENATE(\"Yes, \",W43,\" of each\"),\"No\")","v":"No"},null,null,null,null,40,50,"blue, green, white","No"]
[null,25,"1, 4, 5",null,null,0,1,1,0,0,1,25,0,null,null,null,null,null,null,null,null,{"$f":"$B$18","v":2},4,1,{"$f":"IF(AND(W44=X44,V44=X44),CONCATENATE(\"Yes, \",W44,\" of each\"),\"No\")","v":"No"},null,null,null,null,41,51,"blue, green, white","No"]
[null,26,"2, 4, 5",null,null,0,1,1,0,1,0,26,0,null,null,null,null,null,null,null,null,{"$f":"$C$18","v":0},4,{"$f":"$F$18","v":1},{"$f":"IF(AND(W45=X45,V45=X45),CONCATENATE(\"Yes, \",W45,\" of each\"),\"No\")","v":"No"},null,null,null,null,42,52,"blue, green, white","No"]
[null,27,"1, 2, 4, 5",null,null,0,1,1,0,1,1,27,0,null,null,null,null,null,null,null,{"$f":"$B$18","v":2},{"$f":"$C$18","v":0},4,1,{"$f":"IF(AND(W46=X46,V46=X46,U46=X46),CONCATENATE(\"Yes, \",W46,\" of each\"),\"No\")","v":"No"},null,null,null,null,43,53,"blue, white","No"]
[null,28,"3, 4, 5",null,null,0,1,1,1,0,0,28,0,null,null,null,null,null,null,null,null,{"$f":"$D$18","v":2},4,1,{"$f":"IF(AND(W47=X47,V47=X47),CONCATENATE(\"Yes, \",W47,\" of each\"),\"No\")","v":"No"},null,null,null,null,44,55,"green, white","Yes, 5 of each"]
[null,29,"1, 3, 4, 5",null,null,0,1,1,1,0,1,29,0,null,null,null,null,null,null,null,{"$f":"$B$18","v":2},{"$f":"$D$18","v":2},4,1,{"$f":"IF(AND(W48=X48,V48=X48,U48=X48),CONCATENATE(\"Yes, \",W48,\" of each\"),\"No\")","v":"No"},null,null,null,null,45,56,"blue, green, white","No"]
[null,30,"2, 3, 4, 5",null,null,0,1,1,1,1,0,30,0,null,null,null,null,null,null,null,{"$f":"$C$18","v":0},{"$f":"$D$18","v":2},4,1,{"$f":"IF(AND(W49=X49,V49=X49,U49=X49),CONCATENATE(\"Yes, \",W49,\" of each\"),\"No\")","v":"No"},null,null,null,null,46,57,"blue, green, white","No"]
[null,31,"1, 2, 3, 4, 5",null,null,0,1,1,1,1,1,31,0,null,null,null,null,null,null,{"$f":"$B$18","v":2},{"$f":"$C$18","v":0},{"$f":"$D$18","v":2},4,1,{"$f":"IF(AND(W50=X50,V50=X50,U50=X50,T50=X50),CONCATENATE(\"Yes, \",W50,\" of each\"),\"No\")","v":"No"},null,null,null,null,47,58,"blue, green, white","No"]
[null,32,6,null,null,1,0,0,0,0,0,32,0,null,null,null,null,null,null,null,null,null,null,{"$f":"$G$18","v":3},"Yes, single outcome",null,null,null,null,48,59,"blue, green, white","No"]
[null,33,"1, 6",null,null,1,0,0,0,0,1,33,0,null,null,null,null,null,null,null,null,null,{"$f":"$B$18","v":2},{"$f":"$G$18","v":3},{"$f":"IF(W52=X52,CONCATENATE(\"Yes, \",W52,\" of each\"),\"No\")","v":"No"},null,null,null,null,49,60,"blue, green, white","No"]
[null,34,"2, 6",null,null,1,0,0,0,1,0,34,0,null,null,null,null,null,null,null,null,null,{"$f":"$C$18","v":0},{"$f":"$G$18","v":3},{"$f":"IF(W53=X53,CONCATENATE(\"Yes, \",W53,\" of each\"),\"No\")","v":"No"},null,null,null,null,50,61,"blue, green, white","No"]
[null,35,"1, 2, 6",null,null,1,0,0,0,1,1,35,0,null,null,null,null,null,null,null,null,{"$f":"$B$18","v":2},{"$f":"$C$18","v":0},3,{"$f":"IF(AND(W54=X54,V54=X54),CONCATENATE(\"Yes, \",W54,\" of each\"),\"No\")","v":"No"},null,null,null,null,51,62,"blue, green, white","No"]
[null,36,"3, 6",null,null,1,0,0,1,0,0,36,0,null,null,null,null,null,null,null,null,null,{"$f":"$D$18","v":2},3,{"$f":"IF(W55=X55,CONCATENATE(\"Yes, \",W55,\" of each\"),\"No\")","v":"No"},null,null,null,null,52,63,"blue, green, white","No"]
[null,37,"1, 3, 6",null,null,1,0,0,1,0,1,37,0,null,null,null,null,null,null,null,null,{"$f":"$B$18","v":2},{"$f":"$D$18","v":2},3,{"$f":"IF(AND(W56=X56,V56=X56),CONCATENATE(\"Yes, \",W56,\" of each\"),\"No\")","v":"No"},null,null,null,null,53,64,"blue, white","No"]
[null,38,"2, 3, 6",null,null,1,0,0,1,1,0,38,0,null,null,null,null,null,null,null,null,{"$f":"$C$18","v":0},{"$f":"$D$18","v":2},3,{"$f":"IF(AND(W57=X57,V57=X57),CONCATENATE(\"Yes, \",W57,\" of each\"),\"No\")","v":"No"},null,null,null,null,54,66,"green, white","No",null,null,null,{"$f":"-0.3/2.7","v":-0.1111111111111111},0.4,{"$f":"10*$AS$6+AK57","v":-0.1111111111111111},{"$f":"AL57-1.5+AU60","v":-11.1},{"$f":"10*$BS$6+AK57","v":-0.1111111111111111},{"$f":"AL57-1.5+AW60","v":-11.1},{"$f":"10*$CL$78+AK57","v":2.8888888888888888},{"$f":"AL57-1.5+AY60","v":-11.1}]
[null,39,"1, 2, 3, 6",null,null,1,0,0,1,1,1,39,0,null,null,null,null,null,null,null,{"$f":"$B$18","v":2},{"$f":"$C$18","v":0},{"$f":"$D$18","v":2},3,{"$f":"IF(AND(W58=X58,V58=X58,U58=X58),CONCATENATE(\"Yes, \",W58,\" of each\"),\"No\")","v":"No"},null,null,null,null,55,67,"blue, green, white","No",null,null,null,0,0,{"$f":"10*$AS$6+AK58","v":0},{"$f":"AL58-1.5+AU60","v":-11.5},{"$f":"10*$BS$6+AK58","v":0},{"$f":"AL58-1.5+AW60","v":-11.5},{"$f":"10*$CL$78+AK58","v":3},{"$f":"AL58-1.5+AY60","v":-11.5},null,null,{"$f":"DYNOFRACT!AU62","v":0.25},null,{"$f":"DYNOFRACT!AW62","v":0.25},null,{"$f":"DYNOFRACT!AY62","v":0.25}]
[null,40,"4, 6",null,null,1,0,1,0,0,0,40,0,null,null,null,null,null,null,null,null,null,{"$f":"$E$18","v":4},3,{"$f":"IF(W59=X59,CONCATENATE(\"Yes, \",W59,\" of each\"),\"No\")","v":"No"},null,null,null,null,56,68,"blue, green, white","No",null,null,null,{"$f":"0.3/2.7","v":0.1111111111111111},0.4,{"$f":"10*$AS$6+AK59","v":0.1111111111111111},{"$f":"AL59-1.5+AU60","v":-11.1},{"$f":"10*$BS$6+AK59","v":0.1111111111111111},{"$f":"AL59-1.5+AW60","v":-11.1},{"$f":"10*$CL$78+AK59","v":3.1111111111111112},{"$f":"AL59-1.5+AY60","v":-11.1},null,null,{"$f":"IF(AU60=-10,\"\",\"a\")","v":""},null,{"$f":"IF(AW60=-10,\"\",\"b\")","v":""},null,{"$f":"IF(AY60=-10,\"\",\"c\")","v":""}]
[null,41,"1, 4, 6",null,null,1,0,1,0,0,1,41,0,null,null,null,null,null,null,null,null,{"$f":"$B$18","v":2},4,3,{"$f":"IF(AND(W60=X60,V60=X60),CONCATENATE(\"Yes, \",W60,\" of each\"),\"No\")","v":"No"},null,null,null,null,57,69,"blue, green, white","No",null,null,null,0,0,{"$f":"10*$AS$6+AK60","v":0},{"$f":"AL60-1.5+AU60","v":-11.5},{"$f":"10*$BS$6+AK60","v":0},{"$f":"AL60-1.5+AW60","v":-11.5},{"$f":"10*$CL$78+AK60","v":3},{"$f":"AL60-1.5+AY60","v":-11.5},null,{"$f":"10*$AS$6","v":0},-10,{"$f":"10*BS6","v":0},-10,{"$f":"10*CL78","v":3},-10]
[null,42,"2, 4, 6",null,null,1,0,1,0,1,0,42,0,null,null,null,null,null,null,null,null,{"$f":"$C$18","v":0},4,3,{"$f":"IF(AND(W61=X61,V61=X61),CONCATENATE(\"Yes, \",W61,\" of each\"),\"No\")","v":"No"},null,null,null,null,58,70,"blue, green, white","No",null,null,null,0,0.8,{"$f":"10*$AS$6+AK61","v":0},{"$f":"AL61-1.5+AU60","v":-10.7},{"$f":"10*$BS$6+AK61","v":0},{"$f":"AL61-1.5+AW60","v":-10.7},{"$f":"10*$CL$78+AK61","v":3},{"$f":"AL61-1.5+AY60","v":-10.7},null,{"$f":"0.1/1.4","v":7.1428571428571438E-2},{"$f":"0.2/1.4","v":0.14285714285714288},{"$f":"0.1/1.4","v":7.1428571428571438E-2},{"$f":"0.2/1.4","v":0.14285714285714288},{"$f":"0.1/1.4","v":7.1428571428571438E-2},{"$f":"0.2/1.4","v":0.14285714285714288}]
[null,43,"1, 2, 4, 6",null,null,1,0,1,0,1,1,43,0,null,null,null,null,null,null,null,{"$f":"$B$18","v":2},{"$f":"$C$18","v":0},4,3,{"$f":"IF(AND(W62=X62,V62=X62,U62=X62),CONCATENATE(\"Yes, \",W62,\" of each\"),\"No\")","v":"No"},null,null,null,null,59,71,"blue, green, white","No",null,null,null,null,null,"a","a","b","b","c","c",null,"a","a","b","b","c","c"]
[null,44,"3, 4, 6",null,null,1,0,1,1,0,0,44,0,null,null,null,null,null,null,null,null,{"$f":"$D$18","v":2},4,3,{"$f":"IF(AND(W63=X63,V63=X63),CONCATENATE(\"Yes, \",W63,\" of each\"),\"No\")","v":"No"},null,null,null,null,60,72,"blue, green, white","No",null,null,null,null,null,-1,1.1499999999999999,-1.2,3,1.25,1,null,{"$f":"$AT$60+$AT$61*AM63","v":-7.1428571428571438E-2},{"$f":"$AU$60+$AU$61*AN63-$AU$58","v":-10.085714285714285},{"$f":"$AV$60+$AV$61*AO63","v":-8.5714285714285729E-2},{"$f":"$AW$60+$AW$61*AP63-$AW$58","v":-9.8214285714285712},{"$f":"$AX$60+$AX$61*AQ63","v":3.0892857142857144},{"$f":"$AY$60+$AY$61*AR63-$AY$58","v":-10.107142857142858}]
[null,45,"1, 3, 4, 6",null,null,1,0,1,1,0,1,45,0,null,null,null,null,null,null,null,{"$f":"$B$18","v":2},{"$f":"$D$18","v":2},4,3,{"$f":"IF(AND(W64=X64,V64=X64,U64=X64),CONCATENATE(\"Yes, \",W64,\" of each\"),\"No\")","v":"No"},null,null,null,null,61,73,"blue, green, white","No",null,null,null,null,null,0,1.75,{"$f":"AO63","v":-1.2},-1.325,1,1.5,null,0,-10,-8.5714285714285729E-2,-10.439285714285715,3.0714285714285716,-10.035714285714286]
[null,46,"2, 3, 4, 6",null,null,1,0,1,1,1,0,46,0,null,null,null,null,null,null,null,{"$f":"$C$18","v":0},{"$f":"$D$18","v":2},4,3,{"$f":"IF(AND(W65=X65,V65=X65,U65=X65),CONCATENATE(\"Yes, \",W65,\" of each\"),\"No\")","v":"No"},null,null,null,null,62,74,"blue, green, white","No",null,null,null,null,null,0.8,1.45,{"$f":"AO63","v":-1.2},-0.6,0,1.75,null,5.7142857142857155E-2,-10.042857142857143,-8.5714285714285729E-2,-10.335714285714285,3,-10]
[null,47,"1, 2, 3, 4, 6",null,null,1,0,1,1,1,1,47,0,null,null,null,null,null,null,{"$f":"$B$18","v":2},{"$f":"$C$18","v":0},{"$f":"$D$18","v":2},4,3,{"$f":"IF(AND(W66=X66,V66=X66,U66=X66,T66=X66),CONCATENATE(\"Yes, \",W66,\" of each\"),\"No\")","v":"No"},null,null,null,null,63,75,"blue, green, white","No",null,null,null,null,null,1,0.5,{"$f":"AO63","v":-1.2},{"$f":"AP65","v":-0.6},-1,1.2,null,7.1428571428571438E-2,-10.178571428571429,-8.5714285714285729E-2,-10.335714285714285,2.9285714285714284,-10.078571428571429]
[null,48,"5, 6",null,null,1,1,0,0,0,0,48,0,null,null,null,null,null,null,null,null,null,{"$f":"$F$18","v":1},3,{"$f":"IF(W67=X67,CONCATENATE(\"Yes, \",W67,\" of each\"),\"No\")","v":"No"},null,null,null,null,64,76,"blue, white","No",null,null,null,null,null,1,-1.2,0,-1.4,-1.25,0.2,null,7.1428571428571438E-2,-10.421428571428571,0,-10.45,2.9107142857142856,-10.221428571428572]
[null,49,"1, 5, 6",null,null,1,1,0,0,0,1,49,0,null,null,null,null,null,null,null,null,{"$f":"$B$18","v":2},{"$f":"$F$18","v":1},3,{"$f":"IF(AND(W68=X68,V68=X68),CONCATENATE(\"Yes, \",W68,\" of each\"),\"No\")","v":"No"},null,null,null,null,65,78,"green, white","Yes, 6 of each",null,null,null,null,null,1,-0.6,1,-1,-1,-0.8,null,7.1428571428571438E-2,-10.335714285714285,7.1428571428571438E-2,-10.392857142857142,2.9285714285714284,-10.364285714285714]
[null,50,"2, 5, 6",null,null,1,1,0,0,1,0,50,0,null,null,null,null,null,null,null,null,{"$f":"$C$18","v":0},1,3,{"$f":"IF(AND(W69=X69,V69=X69),CONCATENATE(\"Yes, \",W69,\" of each\"),\"No\")","v":"No"},null,null,null,null,66,79,"blue, green, white","No",null,null,null,null,null,0,-1.2,1.25,0,0,-1.35,null,0,-10.421428571428571,8.9285714285714302E-2,-10.25,3,-10.442857142857143]
[null,51,"1, 2, 5, 6",null,null,1,1,0,0,1,1,51,0,null,null,null,null,null,null,null,{"$f":"$B$18","v":2},{"$f":"$C$18","v":0},1,3,{"$f":"IF(AND(W70=X70,V70=X70,U70=X70),CONCATENATE(\"Yes, \",W70,\" of each\"),\"No\")","v":"No"},null,null,null,null,67,80,"blue, green, white","No",null,null,null,null,null,-1,-1,1,1.25,1,-1,null,-7.1428571428571438E-2,-10.392857142857142,7.1428571428571438E-2,-10.071428571428571,3.0714285714285716,-10.392857142857142]
[null,52,"3, 5, 6",null,null,1,1,0,1,0,0,52,0,null,null,null,null,null,null,null,null,{"$f":"$D$18","v":2},1,3,{"$f":"IF(AND(W71=X71,V71=X71),CONCATENATE(\"Yes, \",W71,\" of each\"),\"No\")","v":"No"},null,null,null,null,68,81,"blue, green, white","No",null,null,null,null,null,-1,0,0,1.75,1.35,-0.5,null,-7.1428571428571438E-2,-10.25,0,-10,3.0964285714285715,-10.321428571428571]
[null,53,"1, 3, 5, 6",null,null,1,1,0,1,0,1,53,0,null,null,null,null,null,null,null,{"$f":"$B$18","v":2},{"$f":"$D$18","v":2},1,3,{"$f":"IF(AND(W72=X72,V72=X72,U72=X72),CONCATENATE(\"Yes, \",W72,\" of each\"),\"No\")","v":"No"},null,null,null,null,69,82,"blue, green, white","Yes, 4 of each",null,null,null,null,null,0,0.3,{"$f":"AO63","v":-1.2},0.8,1.35,-0.5,null,0,-10.207142857142857,-8.5714285714285729E-2,-10.135714285714286,3.0964285714285715,-10.321428571428571]
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[null,55,"1, 2, 3, 5, 6",null,null,1,1,0,1,1,1,55,0,null,null,null,null,null,null,{"$f":"$B$18","v":2},{"$f":"$C$18","v":0},{"$f":"$D$18","v":2},1,3,{"$f":"IF(AND(W74=X74,V74=X74,U74=X74,T74=X74),CONCATENATE(\"Yes, \",W74,\" of each\"),\"No\")","v":"No"},null,null,null,null,71,84,"blue, green, white","No",null,null,null,null,null,1,0.6,{"$f":"AO63","v":-1.2},0.8,1.35,-0.5,null,7.1428571428571438E-2,-10.164285714285715,-8.5714285714285729E-2,-10.135714285714286,3.0964285714285715,-10.321428571428571]
[null,56,"4, 5, 6",null,null,1,1,1,0,0,0,56,0,null,null,null,null,null,null,null,null,{"$f":"$E$18","v":4},1,3,{"$f":"IF(AND(W75=X75,V75=X75),CONCATENATE(\"Yes, \",W75,\" of each\"),\"No\")","v":"No"},null,null,null,null,72,85,"blue, green, white","No",null,null,null,null,null,1,0.6,{"$f":"AO63","v":-1.2},0.8,1.35,-0.5,null,7.1428571428571438E-2,-10.164285714285715,-8.5714285714285729E-2,-10.135714285714286,3.0964285714285715,-10.321428571428571]
[null,57,"1, 4, 5, 6",null,null,1,1,1,0,0,1,57,0,null,null,null,null,null,null,null,{"$f":"$B$18","v":2},4,1,3,{"$f":"IF(AND(W76=X76,V76=X76,U76=X76),CONCATENATE(\"Yes, \",W76,\" of each\"),\"No\")","v":"No"},null,null,null,null,73,86,"blue, green, white","No",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90]
[null,58,"2, 4, 5, 6",null,null,1,1,1,0,1,0,58,0,null,null,null,null,null,null,null,{"$f":"$C$18","v":0},4,1,3,{"$f":"IF(AND(W77=X77,V77=X77,U77=X77),CONCATENATE(\"Yes, \",W77,\" of each\"),\"No\")","v":"No"},null,null,null,null,74,87,"blue, green, white","No",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"HLOOKUP($CW$85,$CX$76:$GI$79,2)","v":""},"=","=","=","","=","=","","","=","=","","=","","=","=","","","","","=","=","","=","=","=","","=","=","","","","","","","=","=","","=","","=","","=","","=","=","","","=","","","=","","","=","=","","=","","=","=","=","","=","","=","=","","","","","","","","","","","=","=","","=","=","=","","=","","=","=","=","","="]
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[null,60,"3, 4, 5, 6",null,null,1,1,1,1,0,0,60,0,null,null,null,null,null,null,null,{"$f":"$D$18","v":2},4,1,3,{"$f":"IF(AND(W79=X79,V79=X79,U79=X79),CONCATENATE(\"Yes, \",W79,\" of each\"),\"No\")","v":"No"},null,null,null,null,76,89,"blue, white","No",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"CL97","v":38},{"$f":"CL96","v":3},{"$f":"CW86","v":3},{"$f":"GCD(CL79,CL80)","v":1},{"$f":"CL79/CM79","v":3},{"$f":"IF($BF$3=1,CN79,CL79)","v":3},null,null,null,null,{"$f":"B1","v":0.87804223549519755},null,null,{"$f":"HLOOKUP($CW$85,$CX$76:$GI$79,4)","v":1},1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,3,2,3,1,1,1,1,1,1,1,1,1,1,1,1,4,1,2,1,4,1,1,1,1,1,3,1,1,3,1,1,1,1,1,5,1,5,2,5,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,4,3,1,2,1,3,4,6,1,1]
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[null,"Write the probability of the event as a fraction."]
[null,"Draw a letter & arrow on the probability scale.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"event","P","state","pos’n","display","num","den"]
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[null,"c.",{"$f":"AJ55","v":"A random playing card is black."},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"CONCATENATE(IF(AO55<10,\" \",\"\"),AO55,IF(AO55<10,\" \",\"\"))","v":" 1 "},null,null,null,null,{"$f":"$AQ$61","v":5},null,null,null,"X",8,{"$f":"CONCATENATE(\"A 10-sided dice lands on \",AS11,\".\")","v":"A 10-sided dice lands on a three."},{"$f":"1/10","v":0.1},"unlikely",3,{"$f":"CONCATENATE(AH11,\"  \")","v":"X  "},1,10,null,{"$f":"V1","v":0.33585101916512983},{"$f":"IF(AR11>0.875,\"an eight\",IF(AR11>0.75,\"a seven\",IF(AR11>0.625,\"a ten\",IF(AR11>0.5,\"a nine\",IF(AR11>0.375,\"a four\",IF(AR11>0.25,\"a three\",IF(AR11>0.125,\"a two\",\"a five\")))))))","v":"a three"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AP55","v":2},null,null,null,null,{"$f":"$AR$61","v":-10.7},null,null,null,"X",9,{"$f":"CONCATENATE(\"A Sterling coin from an equal mix is\",AS12,\"\")","v":"A Sterling coin from an equal mix is 20p."},{"$f":"1/8","v":0.125},"unlikely",3,{"$f":"CONCATENATE(\"  \",AH12)","v":"  X"},1,8,null,{"$f":"N1","v":0.2939631058846649},{"$f":"IF(AR12>0.86,\" 1p.\",IF(AR12>0.72,\" 2p.\",IF(AR12>0.57,\" 5p.\",IF(AR12>0.42,\" 10p.\",IF(AR12>0.28,\" 20p.\",IF(AR12>0.14,\" 50p.\",\" £1.\"))))))","v":" 20p."}]
[null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,null,null,null,null,null,null,null,null,null,"X",10,{"$f":"CONCATENATE(\"A letter chosen at random from \",AS13,\" is \",AU13,\".\")","v":"A letter chosen at random from JELLY is Y."},{"$f":"0.2","v":0.2},"unlikely",5,{"$f":"CONCATENATE(AH13,\"      \")","v":"X      "},1,5,null,{"$f":"$O$1","v":8.8677966095005334E-2},{"$f":"IF(AR13>0.5,\"HELLO\",\"JELLY\")","v":"JELLY"},{"$f":"$O$1","v":8.8677966095005334E-2},{"$f":"IF(AT13>0.5,\"E\",\"Y\")","v":"Y"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",11,{"$f":"CONCATENATE(\"A vowel chosen at random is \",AS14,\".\")","v":"A vowel chosen at random is A."},{"$f":"0.2","v":0.2},"unlikely",5,{"$f":"CONCATENATE(AH14,\"      \")","v":"X      "},1,5,null,{"$f":"P1","v":0.93808301722030862},{"$f":"IF(AR14>0.8,\"A\",IF(AR14>0.6,\"E\",IF(AR14>0.4,\"I\",IF(AR14>0.2,\"O\",\"U\"))))","v":"A"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",12,{"$f":"CONCATENATE(\"A random playing card is \",AS15,\".\")","v":"A random playing card is a 10."},{"$f":"1/13","v":7.6923076923076927E-2},"unlikely",2,{"$f":"CONCATENATE(AH15)","v":"X"},1,13,null,{"$f":"Q1","v":0.92442530357547592},{"$f":"IF(AR15>0.875,\"a 10\",IF(AR15>0.75,\"a King\",IF(AR15>0.625,\"a Jack\",IF(AR15>0.5,\"an Ace\",IF(AR15>0.375,\"a 4\",IF(AR15>0.25,\"a 9\",IF(AR15>0.125,\"a 2\",\"a 5\")))))))","v":"a 10"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",13,{"$f":"IF(AR16>0.5,CONCATENATE(\"A random playing card is a \",AT16,\".\"),\"A random playing card is a picture card.\")","v":"A random playing card is a picture card."},{"$f":"IF(AR16>0.5,1/4,3/13)","v":0.23076923076923078},"unlikely",5,{"$f":"IF(AR16>0.5,CONCATENATE(AH16),CONCATENATE(AH16,\"   \"))","v":"X   "},{"$f":"IF(AR16>0.5,1,3)","v":3},{"$f":"IF(AR16>0.5,4,13)","v":13},null,{"$f":"N1","v":0.2939631058846649},{"$f":"O1","v":8.8677966095005334E-2},{"$f":"IF(AS16>0.75,\"club\",IF(AS16>0.5,\"heart\",IF(AS16>0.25,\"diamond\",\"spade\")))","v":"spade"}]
[null,"impossible",null,null,null,null,null,null,null,null,null,null,"   even",null,null,null,null,null,null,null,null,null,"  certain",null,null,null,null,null,null,null,null,null,null,"X",14,{"$f":"IF(AR17>0.5,CONCATENATE(\"A random playing card is a prime number.\"),\"A random playing card is an odd number.\")","v":"A random playing card is a prime number."},{"$f":"4/13","v":0.30769230769230771},"unlikely",6,{"$f":"CONCATENATE(AH17,\"  \")","v":"X  "},4,13,null,{"$f":"P1","v":0.93808301722030862}]
[null,null,null,null,null,null,null,null,null,null,null,null," chance",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",15,{"$f":"IF(Q1>0.5,\"A coin thrown in the air will land on heads.\",\"A coin thrown in the air will land on tails.\")","v":"A coin thrown in the air will land on heads."},0.5,"even chance",9,{"$f":"CONCATENATE(AH18)","v":"X"},1,2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",16,{"$f":"IF(R1>0.5,\"A newly born baby will be a boy.\",\"A newly born baby will be a girl.\")","v":"A newly born baby will be a boy."},0.5,"even chance",9,{"$f":"CONCATENATE(AH19)","v":"X"},1,2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",17,{"$f":"IF(AR20>0.75,\"When I throw a dice I get an even number.\",IF(AR20>0.5,\"When I throw a dice I get an odd number.\",IF(AR20>0.25,\"When I throw a dice I get a prime number.\",\"When I throw a dice I get a multiple of 2.\")))","v":"When I throw a dice I get a multiple of 2."},0.5,"even chance",9,{"$f":"CONCATENATE(AH20)","v":"X"},1,2,null,{"$f":"$S$1","v":7.3963563608012484E-2}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",18,{"$f":"IF(T1>0.5,CONCATENATE(\"A letter randomly chosen from HISSES is \",AU21,\".\"),CONCATENATE(\"A letter randomly chosen from MAMA is \",AU21,\".\"))","v":"A letter randomly chosen from HISSES is S."},0.5,"even chance",9,{"$f":"CONCATENATE(AH21)","v":"X"},1,2,null,{"$f":"IF(T1>0.5,\"S\",\"M\")","v":"S"},{"$f":"IF(T1>0.5,\"S\",\"A\")","v":"S"},{"$f":"$S$1","v":7.3963563608012484E-2},{"$f":"IF(AT21>0.5,AR21,AS21)","v":"S"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",19,{"$f":"IF(AR20>0.67,\"The one damaged pixel on my TV is green.\",IF(AR20>0.33,\"The one damaged pixel on my TV is blue.\",\"The one damaged pixel on my TV is red.\"))","v":"The one damaged pixel on my TV is red."},{"$f":"1/3","v":0.33333333333333331},"even chance",6,{"$f":"CONCATENATE(\" \",AH22,\"\")","v":" X"},1,3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",20,{"$f":"IF(U1>0.5,\"A random angle from 0° to 360° is reflex.\",\"A random angle from 0° to 180° is acute.\")","v":"A random angle from 0° to 360° is reflex."},0.5,"even chance",9,{"$f":"CONCATENATE(AH23)","v":"X"},1,2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",21,{"$f":"IF(AR24>0.5,\"When I throw a dice I get a square number.\",\"When I throw a dice I get a multiple of 3.\")","v":"When I throw a dice I get a multiple of 3."},{"$f":"1/3","v":0.33333333333333331},"even chance",6,{"$f":"CONCATENATE(\" \",AH$24,\"\")","v":" X"},1,3,null,{"$f":"V1","v":0.33585101916512983}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",22,{"$f":"CONCATENATE(AS25,\"-sided dice lands on an \",AU25,\" number.\",)","v":"A 4-sided dice lands on an even number."},0.5,"even chance",9,{"$f":"CONCATENATE($AH25)","v":"X"},1,2,null,{"$f":"W1","v":0.19921088047079916},{"$f":"IF(AR25>0.5,\"An 8\",\"A 4\")","v":"A 4"},{"$f":"X1","v":0.31446746453630414},{"$f":"IF(AT25>0.5,\"odd\",\"even\")","v":"even"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",23,{"$f":"CONCATENATE(\"A 'Simpson' chosen at random is \",AS26)","v":"A 'Simpson' chosen at random is female."},{"$f":"IF(AR26>0.5,0.6,0.4)","v":0.6},"even chance",{"$f":"IF(AR26>0.5,11,8)","v":11},{"$f":"IF(AR26>0.5,CONCATENATE(\"\",AH26,\"  \"),CONCATENATE(AH26,\"  \"))","v":"X  "},{"$f":"IF(AR26>0.5,3,2)","v":3},5,null,{"$f":"Y1","v":0.98006635065760594},{"$f":"IF(AR26>0.5,\"female.\",\"male.\")","v":"female."}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"",24,{"$f":"CONCATENATE(\"A random playing card is \",AS27,\"\")","v":"A random playing card is black."},{"$f":"1/2","v":0.5},"even chance",9,{"$f":"CONCATENATE(AH27)","v":""},1,2,null,{"$f":"Z1","v":0.31546589339517928},{"$f":"IF(AR27>0.5,\"red.\",\"black.\")","v":"black."}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",25,"A random playing card is a number card.",{"$f":"9/13","v":0.69230769230769229},"likely",12,{"$f":"CONCATENATE(\"  \",AH28)","v":"  X"},9,13]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",26,{"$f":"CONCATENATE(\"When I throw a dice I get less than \",AS29,\"\")","v":"When I throw a dice I get less than six."},{"$f":"IF(AR29>0.5,2/3,5/6)","v":0.83333333333333337},"likely",{"$f":"IF(AR29>0.5,12,14)","v":14},{"$f":"IF(AR29>0.5,CONCATENATE(AH29,\" \"),CONCATENATE(\" \",AH29,\"\"))","v":" X"},{"$f":"IF(AR29>0.5,2,5)","v":5},{"$f":"IF(AR29>0.5,3,6)","v":6},null,{"$f":"N1","v":0.2939631058846649},{"$f":"IF(AR29>0.5,\"five.\",\"six.\")","v":"six."}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"",27,{"$f":"CONCATENATE(\"When I throw a dice I get more than \",AS30,\"\")","v":"When I throw a dice I get more than one."},{"$f":"IF(AR30>0.5,2/3,5/6)","v":0.83333333333333337},"likely",{"$f":"IF(AR30>0.5,12,14)","v":14},{"$f":"IF(AR30>0.5,CONCATENATE(AH30,\" \"),CONCATENATE(\" \",AH30,\"\"))","v":" "},{"$f":"IF(AR30>0.5,2,5)","v":5},{"$f":"IF(AR30>0.5,3,6)","v":6},null,{"$f":"O1","v":8.8677966095005334E-2},{"$f":"IF(AR30>0.5,\"two.\",\"one.\")","v":"one."}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",28,"A 'Simpson' chosen at random can talk.",0.8,"likely",14,{"$f":"CONCATENATE(\"\",AH31,\"  \")","v":"X  "},4,5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",29,{"$f":"IF(AR24>0.5,\"A random playing card has no face on it.\",\"A random playing card has no picture on it.\")","v":"A random playing card has no picture on it."},{"$f":"10/13","v":0.76923076923076927},"likely",13,{"$f":"CONCATENATE(\"   \",AH32)","v":"   X"},10,13]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",30,{"$f":"IF(AR24>0.5,\"A snooker ball chosen at random is red.\",\"A random snooker ball is a primary colour.\")","v":"A random snooker ball is a primary colour."},{"$f":"IF(AR24>0.5,15/22,17/22)","v":0.77272727272727271},"likely",{"$f":"IF(AR24>0.5,12,13)","v":13},{"$f":"IF(AR24>0.5,CONCATENATE(\" \",AH33),CONCATENATE(\"   \",AH33))","v":"   X"},{"$f":"IF(AR24>0.5,15,17)","v":17},22]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",31,"A random angle from 60° to 180° is obtuse.",0.75,"likely",13,{"$f":"CONCATENATE(AH34)","v":"X"},3,4]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",32,"A random playing card is an even number.",{"$f":"5/13","v":0.38461538461538464},"likely",7,{"$f":"CONCATENATE(\"  \",AH35)","v":"  X"},5,13,null,{"$f":"P1","v":0.93808301722030862},{"$f":"IF(AR35>0.5,\"red.\",\"black.\")","v":"red."}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",33]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",34]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",35]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",36]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",37]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",38]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X",39]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,40]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"impossible",null,{"$f":"COUNTIF($AL$4:$AL$43,AJ44)","v":0},{"$f":"AL46","v":14},null,1,{"$f":"$AM$45","v":5},{"$f":"$AM$47","v":24},{"$f":"$AM$49","v":27}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"very unlikely",null,0,{"$f":"INT(AM44*X1)+1","v":5},null,2,{"$f":"$AM$45","v":5},{"$f":"$AM$49","v":27},{"$f":"$AM$47","v":24}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"unlikely",null,14,{"$f":"AL47","v":10},null,3,{"$f":"$AM$47","v":24},{"$f":"$AM$45","v":5},{"$f":"$AM$49","v":27}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"even chance",null,10,{"$f":"INT(AM46*Y1)+AM44+1","v":24},null,4,{"$f":"$AM$47","v":24},{"$f":"$AM$49","v":27},{"$f":"$AM$45","v":5}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"likely",null,8,{"$f":"AL48+AL49+AL50","v":8},null,5,{"$f":"$AM$49","v":27},{"$f":"$AM$47","v":24},{"$f":"$AM$45","v":5}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"very likely",null,0,{"$f":"INT(AM48*Z1)+AM46+AM44+1","v":27},null,6,{"$f":"$AM$49","v":27},{"$f":"$AM$45","v":5},{"$f":"$AM$47","v":24}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"certain",null,0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"SUM(AL44:AL50)","v":32}]
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[null,{"$f":"RAND()","v":0.45898527978449943},0.53886709839368363,7.8430387971129667E-2,0.26580572204126829,0.7718960695933561,0.42920529592326773,0.87641978480008875,5.2953547396898282E-2,0.61757972460885635,0.20543117296545732,0.7233910900895667,0.85786483010163428,0.41652351273342969,0.81429642567078031,9.6327226785124509E-3,0.81282947823263196,0.64714402835538465,0.42199733398109718,0.88536917527074444,0.20045555871858983,2.2501693163498482E-2,0.19568385853713099,0.84919909956812312,0.49298827737496875,0.62308132178773801]
[null,"Find using the fact that if P(event occurs) = p"]
[null,"then P(event does not occur) = 1 − p."]
[null,{"$f":"IF(B7=135,1,IF(B7=1,0,\"\"))","v":""},{"$f":"IF(B7=135,0,IF(B7=1,1,\"\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"b"]
[null,{"$f":"CONCATENATE(AK7,\" in \",AK8,\" babies born at a hospital are boys\")","v":"2 in 5 babies born at a hospital are boys"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$AM$67","v":4}]
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[]
[]
[]
[]
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[null,{"$f":"RAND()","v":0.91392508766202218},0.25003533294711899,0.78560471019050115,0.84672402277037595,0.99378429810458146,0.3827580857713121,0.87101255268833977,0.36820791755197302,0.38667598881123255,7.2945839467526419E-2,0.35249672550912614,1.9115659677815366E-2,0.41652351273342969,0.81429642567078031,9.6327226785124509E-3,0.81282947823263196,0.64714402835538465,0.42199733398109718,0.88536917527074444,0.20045555871858983,2.2501693163498482E-2,0.19568385853713099,0.84919909956812312,0.49298827737496875,0.62308132178773801]
[null,"Find using the fact that if P(event occurs) = p"]
[null,"then P(event does not occur) = 1 − p."]
[null,{"$f":"IF(B7=135,1,IF(B7=1,0,\"\"))","v":""},{"$f":"IF(B7=135,0,IF(B7=1,1,\"\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"m"]
[null,{"$f":"CONCATENATE(\"The ratio of male cats to female cats is \",AK7,\" : \",AK8-AK7)","v":"The ratio of male cats to female cats is 3 : 7"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$AM$67","v":3}]
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[null,41,1,"P(male) =",null,null,null,null,null,null,{"$f":"IF(B7=135,\"\",IF(B7=1,\"\",IF(OR(B7=2,B7=4,B7=8,B7=11),CONCATENATE(\"  \",AK7,\"  \"),CONCATENATE(\" \",AK7,\" \"))))","v":" 3 "},null,null,"P(female) =",null,null,null,null,null,{"$f":"IF(B7=135,\"\",IF(B7=1,\"\",IF(OR(B7=125,B7=128,B7=132,B7=134),CONCATENATE(\"  \",AK8-AK7,\"  \"),CONCATENATE(\" \",AK8-AK7,\" \"))))","v":" 7 "},null,null,0,null,null,null,null,null,null,"f",null,null,null,{"$f":"BE66","v":3},{"$f":"GCD(AH7,AH8)","v":1},{"$f":"AH7/AI7","v":3},{"$f":"IF(AH7=0,0,AJ7)","v":3}]
[null,1,135,null,null,null,null,null,null,null,{"$f":"IF(B7=1,\"\",IF(B7=135,\"\",IF(AH7=0,\"\",AK8)))","v":10},null,null,null,null,null,null,null,null,{"$f":"IF(B7=1,\"\",IF(B7=135,\"\",IF(AH7=0,\"\",AK8)))","v":10},null,null,0,null,null,null,null,null,null,{"$f":"$AO$67","v":7},null,null,null,{"$f":"BF66","v":10},{"$f":"LCM(AH7,AH8)","v":30},{"$f":"AH8/AI7","v":10},{"$f":"IF(AH7=0,1,AJ8)","v":10}]
[null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,null,null,{"$f":"IF(AU60<0,\"m\",\".\")","v":"m"},{"$f":"IF(AY60<0,\"f\",\".\")","v":"f"},null,{"$f":"$AP$67","v":-10.7}]
[]
[]
[]
[]
[null,{"$f":"IF(B17=135,1,IF(B17=1,0,\"\"))","v":""},{"$f":"IF(B17=135,0,IF(B17=1,1,\"\"))","v":""}]
[null,{"$f":"CONCATENATE(\"The ratio of red pens to black pens is \",AK17,\" : \",AK18-AK17)","v":"The ratio of red pens to black pens is 1 : 4"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"r"]
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[null,28,{"$f":"C7","v":1},"P(red) =",null,null,null,null,null,null,{"$f":"IF(B17=135,\"\",IF(B17=1,\"\",IF(OR(B17=2,B17=4,B17=8,B17=11),CONCATENATE(\"  \",AK17,\"  \"),CONCATENATE(\" \",AK17,\" \"))))","v":" 1 "},null,null,"P(black) =",null,null,null,null,null,{"$f":"IF(B17=135,\"\",IF(B17=1,\"\",IF(OR(B17=125,B17=128,B17=132,B17=134),CONCATENATE(\"  \",AK18-AK17,\"  \"),CONCATENATE(\" \",AK18-AK17,\" \"))))","v":" 4 "},null,null,0,null,null,null,null,null,null,{"$f":"$AR$67","v":-10.7},null,null,null,{"$f":"BE67","v":1},{"$f":"GCD(AH17,AH18)","v":1},{"$f":"AH17/AI17","v":1},{"$f":"IF(AH17=0,0,AJ17)","v":1}]
[null,1,135,null,null,null,null,null,null,null,{"$f":"IF(B17=1,\"\",IF(B17=135,\"\",IF(AH17=0,\"\",AK18)))","v":5},null,null,null,null,null,null,null,null,{"$f":"IF(B17=1,\"\",IF(B17=135,\"\",IF(AH17=0,\"\",AK18)))","v":5},null,null,0,null,null,null,null,null,null,"b",null,null,null,{"$f":"BF67","v":5},{"$f":"LCM(AH17,AH18)","v":5},{"$f":"AH18/AI17","v":5},{"$f":"IF(AH17=0,1,AJ18)","v":5}]
[null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,null,null,{"$f":"IF(AW60<0,\"r\",\".\")","v":"r"},{"$f":"IF(BA60<0,\"b\",\".\")","v":"b"},null,{"$f":"$AI$67","v":8}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$AJ$67","v":-10.7}]
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{"sheet":"DYNODEC","index":15,"n_rows":81,"n_cols":55,"rows_kept":81,"cut":false,"hidden":false,"merged":[[4,1,5,26],[14,1,15,26],[6,3,7,9],[6,19,7,22],[8,3,8,4],[8,23,8,24],[12,8,12,9],[12,18,12,19],[12,22,12,24],[22,2,22,4],[18,23,18,24],[6,10,7,12],[6,13,7,18],[16,2,17,9],[18,3,18,4],[22,11,22,16],[16,19,17,22],[12,2,12,4],[12,11,12,16],[16,10,17,12],[16,13,17,18],[23,18,23,19],[22,8,22,9],[22,18,22,19],[22,22,22,24],[23,8,23,9]]}
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[null,"Find using the fact that if P(event occurs) = p"]
[null,"then P(event does not occur) = 1 − p."]
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[null,"Find using the fact that if P(event occurs) = p%"]
[null,"then P(event does not occur) = 100% − p%."]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.01,-2.5000000000000001E-2,{"$f":"AM77","v":0.01},{"$f":"AN77","v":-2.5000000000000001E-2},7.4999999999999997E-2,-0.15,null,null,null,1.508,-10.202500000000001,8.5681818181818183,-10.379999999999999]
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[null,null,{"$f":"RAND()","v":0.90038326733637875},0.52707380945568816,0.97214083206063318,0.49897313826473366,0.88783782462461092,0.25403491407007517,0.96634432173890117,0.18567010651408922,0.76952093466739224,0.31448566928869415,0.58884260030782631,0.88647575274331025]
[null,null,"A loaded biased dice gives more high scores.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"INT(4*I1)+1","v":4},{"$f":"INT(4*J1)+2","v":2},{"$f":"INT(4*K1)+3","v":6},{"$f":"INT(4*L1)+4","v":5},{"$f":"INT(4*M1)+5","v":7},{"$f":"AU2+1","v":8},{"$f":"AV2+AU2+AT2+AS2+AR2+AQ2","v":32}]
[null,null,"The  six  possible  outcomes",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"CONCATENATE(\"\",1)","v":"1"},",",{"$f":"CONCATENATE(\"\",2)","v":"2"},",",{"$f":"CONCATENATE(\"\",3)","v":"3"},",",{"$f":"CONCATENATE(\"\",4)","v":"4"},",",{"$f":"CONCATENATE(\"\",5)","v":"5"},",",{"$f":"CONCATENATE(\"\",6)","v":"6"},null,null,null,null,null,null,{"$f":"IF($AW$3=1,GCD(AQ2,$AW$2),1)","v":1},1,1,1,1,1,0]
[null,null,"have probabilities in the ratio",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"CONCATENATE(\"\",AQ2)","v":"4"},":",{"$f":"CONCATENATE(\"\",AR2)","v":"2"},":",{"$f":"CONCATENATE(\"\",AS2)","v":"6"},":",{"$f":"CONCATENATE(\"\",AT2)","v":"5"},":",{"$f":"CONCATENATE(\"\",AU2)","v":"7"},":",{"$f":"CONCATENATE(\"\",AV2)","v":"8"},null,null,null,{"$f":"IF($AR$20=1000,\"\",\"* \")","v":"* "},{"$f":"IF($AR$20<1000,\"* \",\"\")","v":""}]
[null,null,"Complete the probability table."]
[]
[null,null,"Score",null,null,null,null,null,"Fraction",null,null,null,null,null,null,"Decimal (3 d.p.)",null,null,null,null,null,null,null,null,null,null,null,"Percentage (1 d.p.)"]
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[null,null,null,null,null,null,null,null,{"$f":"$AW$2/$AR$3","v":32}]
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[null,null,4,null,null,null,null,null,{"$f":"CONCATENATE(\" \",$AT$2/$AT$3,\" \")","v":" 5 "},null,null,null,null,null,null,{"$f":"IF(AR14<10,CONCATENATE(0,\".00\",AR14),IF(AR14<100,CONCATENATE(0,\".0\",AR14),CONCATENATE(0,\".\",AR14)))","v":"0.156"},null,null,null,null,null,null,null,null,null,null,null,{"$f":"CONCATENATE(IF(AS14<10,\"  \",\"\"),AS14,\".\",AT14,\"%\")","v":"15.6%"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AT2/$AW$2","v":0.15625},{"$f":"ROUND(1000*AQ14,0)","v":156},{"$f":"ROUND((AR14-AT14)/10,0)","v":15},{"$f":"MOD(AR14,10)","v":6}]
[null,null,null,null,null,null,null,null,{"$f":"$AW$2/$AT$3","v":32}]
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[null,null,null,null,null,null,null,null,{"$f":"$AW$2/$AU$3","v":32}]
[null,null,6,null,null,null,null,null,{"$f":"CONCATENATE(\" \",$AV$2/$AV$3,\" \")","v":" 8 "},null,null,null,null,null,null,{"$f":"IF(AR18<10,CONCATENATE(0,\".00\",AR18),IF(AR18<100,CONCATENATE(0,\".0\",AR18),CONCATENATE(0,\".\",AR18)))","v":"0.250"},null,null,null,null,null,null,null,null,null,null,null,{"$f":"CONCATENATE(IF(AS18<10,\"  \",\"\"),AS18,\".\",AT18,\"%\")","v":"25.0%"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AV2/$AW$2","v":0.25},{"$f":"ROUND(1000*AQ18,0)","v":250},{"$f":"ROUND((AR18-AT18)/10,0)","v":25},{"$f":"MOD(AR18,10)","v":0}]
[null,null,null,null,null,null,null,null,{"$f":"$AW$2/$AV$3","v":32}]
[null,null,"Total",null,null,null,null,null,1,null,null,null,null,null,null,{"$f":"IF(AR20=1000,CONCATENATE(\"1.000\"),AR20/1000)","v":1.0009999999999999},null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AR20>1000,CONCATENATE(AR20/10,\"%  \"),IF(AR20=1000,CONCATENATE(100,\".0%  \"),CONCATENATE(AR20/10,\"%\")))","v":"100.1%  "},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AR18+AR16+AR14+AR12+AR10+AR8","v":1001}]

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[null,null,{"$f":"RAND()","v":0.81781009795630077},0.35653270524367686,0.12508442510063489,0.86981870032060726,0.16492980230182919,0.77292484482101664,0.59014866928697562,0.1877207468850004,0.77268399844771074,0.11400155968118597,0.8186975468802179,0.88647575274331025]
[null,null,"Find the % probability",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AJ21","v":1},{"$f":"AK21","v":3},{"$f":"AL21","v":2},{"$f":"AM21","v":4},11,{"$f":"AM2+AL2+AK2+AJ2","v":10},{"$f":"GCD(AJ2,AO2)","v":1},{"$f":"GCD(AK2,AO2)","v":1},{"$f":"GCD(AL2,AO2)","v":2},{"$f":"GCD(AM2,AO2)","v":2},null,null,null,null,{"$f":"AL2/AK2","v":0.66666666666666663},{"$f":"ABS(AX2)","v":0.66666666666666663},{"$f":"IF(AX2<0,\"-\",\"\")","v":""},{"$f":"ROUNDDOWN(AY2,0)","v":0},{"$f":"ROUND(AY2-BA2,3)","v":0.66700000000000004},{"$f":"IF(BB2=BO2,BO3,IF(BB2=BP2,BP3,IF(BB2=BQ2,BQ3,IF(BB2=BR2,BR3,IF(BB2=BS2,BS3,IF(BB2=BT2,BT3,IF(BB2=BU2,BU3,BB2)))))))","v":"⅔"},{"$f":"IF(BC2=BV2,BV3,IF(BC2=BW2,BW3,BC2))","v":"⅔"},{"$f":"IF(BD2=BB2,CONCATENATE(AZ2,BA2+BD2),IF(BA2=0,CONCATENATE(AZ2,BD2),CONCATENATE(AZ2,BA2,BD2)))","v":"⅔"},{"$f":"IF(BB2=BO2,\"*\",IF(BB2=BP2,\"*\",IF(BB2=BQ2,\"*\",IF(BB2=BR2,\"*\",IF(BB2=BS2,\"*\",IF(BB2=BT2,\"*\",IF(BB2=BU2,\"*\",BL2)))))))","v":"*"},{"$f":"IF(BC2=BV2,\"*\",IF(BC2=BW2,\"*\",BF2))","v":"*"},{"$f":"IF(AX2=ROUND(AX2,0),\"ⁿ\",BG2)","v":"*"},{"$f":"50*AX2","v":33.333333333333329},{"$f":"ROUND(50*AX2,0)","v":33},{"$f":"CONCATENATE(BI2-BJ2)","v":"0.333333333333329"},{"$f":"IF((ROUND(100*AX2,6)-ROUND(100*AX2,0))=0,\"•\",\"·\")","v":"·"},{"$f":"50*AX3","v":100},{"$f":"CONCATENATE(BI3-BJ3)","v":"0"},{"$f":"IF(BB2<0.15,0.125,0.167)","v":0.16700000000000001},{"$f":"IF(BB2<0.23,0.2,0.25)","v":0.25},0.33300000000000002,{"$f":"IF(BB2<0.39,0.375,0.4)","v":0.4},0.5,{"$f":"IF(BB2<0.61,0.6,0.625)","v":0.625},0.66700000000000004,{"$f":"IF(BB2<0.77,0.75,0.8)","v":0.75},{"$f":"IF(BB2<0.85,0.833,0.875)","v":0.83299999999999996},{"$f":"IF(BB3<0.15,0.125,0.167)","v":0.125},{"$f":"IF(BB3<0.23,0.2,0.25)","v":0.2},0.33300000000000002,{"$f":"IF(BB3<0.39,0.375,0.4)","v":0.375},0.5,{"$f":"IF(BB3<0.61,0.6,0.625)","v":0.6},0.66700000000000004,{"$f":"IF(BB3<0.77,0.75,0.8)","v":0.75},{"$f":"IF(BB3<0.85,0.833,0.875)","v":0.83299999999999996}]
[null,null,"of each outcome on a",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"P(red) =",{"$f":"CONCATENATE(AY21,\" × P(blue)\")","v":"3 × P(blue)"},null,null,null,null,null,null,{"$f":"AJ2/AO2*AO3","v":36},{"$f":"AK2/AO2*AO3","v":108},{"$f":"AL2/AO2*AO3","v":72},{"$f":"AM2/AO2*AO3","v":144},null,360,{"$f":"IF(MOD(AO5,10)=0,\"  \",\"\")","v":"  "},{"$f":"IF(MOD(AP5,10)=0,\"  \",\"\")","v":"  "},{"$f":"IF(MOD(AQ5,10)=0,\"  \",\"\")","v":"  "},{"$f":"IF(MOD(AR5,10)=0,\"  \",\"\")","v":"  "},null,null,0,1,{"$f":"AM2/AL2","v":2},{"$f":"ABS(AX3)","v":2},{"$f":"IF(AX3<0,\"-\",\"\")","v":""},{"$f":"ROUNDDOWN(AY3,0)","v":2},{"$f":"ROUND(AY3-BA3,3)","v":0},{"$f":"IF(BB3=BX2,BX3,IF(BB3=BY2,BY3,IF(BB3=BZ2,BZ3,IF(BB3=CA2,CA3,IF(BB3=CB2,CB3,IF(BB3=CC2,CC3,IF(BB3=CD2,CD3,BB3)))))))","v":0},{"$f":"IF(BC3=CE2,CE3,IF(BC3=CF2,CF3,BC3))","v":0},{"$f":"IF(BD3=BB3,CONCATENATE(AZ3,BA3+BD3),IF(BA3=0,CONCATENATE(AZ3,BD3),CONCATENATE(AZ3,BA3,BD3)))","v":"2"},{"$f":"IF(BB3=BX2,\"*\",IF(BB3=BY2,\"*\",IF(BB3=BZ2,\"*\",IF(BB3=CA2,\"*\",IF(BB3=CB2,\"*\",IF(BB3=CC2,\"*\",IF(BB3=CD2,\"*\",BL3)))))))","v":"•"},{"$f":"IF(BC3=CE2,\"*\",IF(BC3=CF2,\"*\",BF3))","v":"•"},{"$f":"IF(AX3=ROUND(AX3,0),\"ⁿ\",BG3)","v":"ⁿ"},{"$f":"50*AX3","v":100},{"$f":"ROUND(50*AX3,0)","v":100},{"$f":"CONCATENATE(BI3-BJ3)","v":"0"},{"$f":"IF((ROUND(100*AX3,6)-ROUND(100*AX3,0))=0,\"•\",\"·\")","v":"•"},{"$f":"ROUND(50*AX3,0)","v":100},"xxxxxxx",{"$f":"IF(BB2<0.15,\"⅛\",\"⅙\")","v":"⅙"},{"$f":"IF(BB2<0.23,\"⅕\",\"¼\")","v":"¼"},"⅓",{"$f":"IF(BB2<0.39,\"⅜\",\"⅖\")","v":"⅖"},"½",{"$f":"IF(BB2<0.61,\"⅗\",\"⅝\")","v":"⅝"},"⅔",{"$f":"IF(BB2<0.77,\"¾\",\"⅘\")","v":"¾"},{"$f":"IF(BB2<0.85,\"⅚\",\"⅞\")","v":"⅚"},{"$f":"IF(BB3<0.15,\"⅛\",\"⅙\")","v":"⅛"},{"$f":"IF(BB3<0.23,\"⅕\",\"¼\")","v":"⅕"},"⅓",{"$f":"IF(BB3<0.39,\"⅜\",\"⅖\")","v":"⅜"},"½",{"$f":"IF(BB3<0.61,\"⅗\",\"⅝\")","v":"⅗"},"⅔",{"$f":"IF(BB3<0.77,\"¾\",\"⅘\")","v":"¾"},{"$f":"IF(BB3<0.85,\"⅚\",\"⅞\")","v":"⅚"}]
[null,null,"spinner and draw all",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"P(green) =",{"$f":"IF(AL2=AK2,\"P(red)\",CONCATENATE(BE2,IF(AL2<AK2,\" of \",\" × \"),,\"P(red)\"))","v":"⅔ of P(red)"},null,null,null,null,null,null,{"$f":"AJ2/AP2","v":1},{"$f":"AK2/AQ2","v":3},{"$f":"AL2/AR2","v":1},{"$f":"AM2/AS2","v":2},null,{"$f":"AJ2/AO2","v":0.1},{"$f":"AK2/AO2","v":0.3},{"$f":"AL2/AO2","v":0.2},{"$f":"AM2/AO2","v":0.4}]
[null,null,"4 sectors accurately.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"P(purple) =",{"$f":"IF(AL2=AM2,\"P(green)\",CONCATENATE(BE3,IF(AM2<AL2,\" of \",\" × \"),\"P(green)\"))","v":"2 × P(green)"},null,null,null,null,null,null,{"$f":"AO2/AP2","v":10},{"$f":"AO2/AQ2","v":10},{"$f":"AO2/AR2","v":5},{"$f":"AO2/AS2","v":5},null,{"$f":"AO4*100","v":10},{"$f":"AP4*100","v":30},{"$f":"AQ4*100","v":20},{"$f":"AR4*100","v":40}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AO2","v":10},{"$f":"AO2","v":10},{"$f":"AO2","v":10},{"$f":"AO2","v":10}]
[null,null,"probability ratio",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"b : r : g : p =",{"$f":"AJ2","v":1},":",{"$f":"AK2","v":3},":",{"$f":"AL2","v":2},":",{"$f":"AM2","v":4},null,null,null,{"$f":"AK2/AJ2","v":3},{"$f":"BE2","v":"⅔"},{"$f":"BE3","v":"2"},null,{"$f":"IF(J1>0.4,1,2)","v":2},{"$f":"IF(J1>0.8,2,IF(J1>0.6,3,IF(J1>0.4,4,IF(J1>0.2,3,4))))","v":4},{"$f":"IF(AO7=1,\"blue\",IF(AO7=2,\"red\",IF(AO7=3,\"green\",\"purple\")))","v":"red"},{"$f":"IF(AP7=1,\"blue\",IF(AP7=2,\"red\",IF(AP7=3,\"green\",\"purple\")))","v":"purple"},{"$f":"IF(AO7=1,AO5,IF(AO7=2,AP5,IF(AO7=3,AQ5,AR5)))","v":30},{"$f":"IF(AP7=1,AO5,IF(AP7=2,AP5,IF(AP7=3,AQ5,AR5)))","v":40},{"$f":"AT7+AS7","v":70}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"360° divided in this ratio =",{"$f":"CONCATENATE(AJ3,\"°\")","v":"36°"},":",{"$f":"CONCATENATE(AK3,\"°\")","v":"108°"},":",{"$f":"CONCATENATE(AL3,\"°\")","v":"72°"},":",{"$f":"CONCATENATE(AM3,\"°\")","v":"144°"},null,null,0,0,0,0,1,{"$f":"IF(AV3=1,AJ2,0)","v":0},{"$f":"IF(AV3=1,AK2,0)","v":0},{"$f":"IF(AV3=1,AL2,0)","v":0},{"$f":"IF(AV3=1,AM2,0)","v":0},{"$f":"IF(AV3=1,0,1)","v":1}]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"P(blue) =",null,null,null,null,null,null,null,{"$f":"IF(AW3=1,CONCATENATE(\" \",AJ2,\" \"),CONCATENATE(\" \",AJ4,\" \"))","v":" 1 "},{"$f":"IF(AJ8=0,\"\",IF(AJ8=1,\"=\",IF(AJ8=2,CONCATENATE(\"= \",AO4,AP3,\" = \"),CONCATENATE(\"= \",AO4,AP3,\" = \",AO5,\"%\"))))","v":""}]
[null,null,"Draw its",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AW3=0,AJ5,AJ6)","v":10}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"P(red) =",null,null,null,null,null,null,null,{"$f":"IF(AW3=1,CONCATENATE(\" \",AK2,\" \"),CONCATENATE(\" \",AK4,\" \"))","v":" 3 "},{"$f":"IF(AK8=0,\"\",IF(AK8=1,\"=\",IF(AK8=2,CONCATENATE(\"= \",AP4,AQ3,\" = \"),CONCATENATE(\"= \",AP4,AQ3,\" = \",AP5,\"%\"))))","v":""}]
[null,null,"4 sectors",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AW3=0,AK5,AK6)","v":10}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"P(green) =",null,null,null,null,null,null,null,{"$f":"IF(AW3=1,CONCATENATE(IF(AL2<10,\" \",\"\"),AL2,IF(AL2<10,\" \",\"\")),CONCATENATE(IF(AL4<10,\" \",\"\"),AL4,IF(AL4<10,\" \",\"\")))","v":" 2 "},{"$f":"IF(AL8=0,\"\",IF(AL8=1,\"=\",IF(AL8=2,CONCATENATE(\"= \",AQ4,AR3,\" = \"),CONCATENATE(\"= \",AQ4,AR3,\" = \",AQ5,\"%\"))))","v":""}]
[null,null,"accurately.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AW3=0,AL5,AL6)","v":10}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"P(purple) =",null,null,null,null,null,null,null,{"$f":"IF(AW3=1,CONCATENATE(IF(AM2<10,\" \",\"\"),AM2,IF(AM2<10,\" \",\"\")),CONCATENATE(IF(AM4<10,\" \",\"\"),AM4,IF(AM4<10,\" \",\"\")))","v":" 4 "},{"$f":"IF(AM8=0,\"\",IF(AM8=1,\"=\",IF(AM8=2,CONCATENATE(\"= \",AR4,AS3,\" = \"),CONCATENATE(\"= \",AR4,AS3,\" = \",AR5,\"%\"))))","v":""}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AW3=0,AM5,AM6)","v":10}]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AN8<=1,\"\",IF(AN8=2,CONCATENATE(IF(AS7<10,\"  \",\"\"),AS7,\"% + \",IF(AT7<10,\"  \",\"\"),AT7,\"% = \"),CONCATENATE(IF(AS7<10,\"  \",\"\"),AS7,\"% + \",IF(AT7<10,\"  \",\"\"),AT7,\"% = \",AU7,\"%\")))","v":""}]
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