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[null,null,"If I am paying $x to play this game (roll the dice only once). And I give this $x before playing!!"]
[]
[null,null,"I win $100, If I roll a 5 or a 6 (and I get back my $x)",null,null,null,null,"=> Profit is $100"]
[null,null,"Prob of rolling a 5 or a 6 is 1/3"]
[null,null,"Prob of rolling a 1,2,3,or a 4 is 2/3",null,null,"I lose my $x"]
[]
["Statement 1",null,"Expected Value of my Winning = ",null,null,"1/3 * 100"]
[]
["Statement 2",null,"Expected Value of my losses = ",null,null,"2/3*x",null,"where x is the amount that I paid to play the game"]
[]
[null,null,"Fair value of this game => if the EV of winning = EV of losses"]
[null,null," EV of winning - EV of losses = 0"]
[]
[null,null,null,null,"1/3*100 - 2/3 *x = 0"]
[]
[null,null,null,null,"x = $50"]
[]
[null,"Say if I play this game 6 times"]
[null,null,null,null,"Number on dice","Profit/Losses"]
[null,null,null,"Cases",1,-50]
[null,null,null,null,2,-50]
[null,null,null,null,3,-50]
[null,null,null,null,4,-50]
[null,null,null,null,5,100]
[null,null,null,null,6,100]
[null,null,null,null,"Sum of winnings",0]

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[null,null,"The game is:"]
[]
[null,1,"You pay $x to play the game"]
[null,2,"Roll the dice"]
[]
[null,"Case 1:","If you roll a 5 or a 6, then you get your $x back and you get $100 in addition"]
[null,"Case 2:","If I roll a 1,2,3,4 then I lose my $x."]
[]
[null,"If I win:"]
[null,"Winning are $100"]
[]
[null,"If I lose:"]
[null,"Losses are $50"]

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["EV"]
[]
["If I roll a dice  a million times"]
["Then I add the numbers that I rolled in this million times and take the average of it---> 3.5"]

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[]
[null,"STOCK is trading at $100"]
[]
[null,"Every hour your you model predicts whether the stock will go up or down by 5% (and the accuracy of your model is 70%)"]
[]
[null,"Hour 1","Hour 2","Hour 3","Hour 4","Hour 5","Hour 6"]
[null,100,{"$f":"B8+10","v":110},{"$f":"C8+10","v":120},130,140,150]
["Prediction",105,115,{"$f":"D8*(1+5%)","v":126},{"$f":"E8*(1+5%)","v":136.5},{"$f":"F8*(1-5%)","v":133},{"$f":"G8*(1+5%)","v":157.5}]