SOLUTION: brett and sofia are playing cards. they decide to shuffle a deck of playing cards. after a shuffle they choose a single card. if that card is of an ace or a king they win 2 points.

Algebra ->  Probability-and-statistics -> SOLUTION: brett and sofia are playing cards. they decide to shuffle a deck of playing cards. after a shuffle they choose a single card. if that card is of an ace or a king they win 2 points.      Log On


   



Question 866648: brett and sofia are playing cards. they decide to shuffle a deck of playing cards. after a shuffle they choose a single card. if that card is of an ace or a king they win 2 points. f that card is of a jack or a queen they win 3points. if they card is any other number, they lose 1 point. is the game fair
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
brett and sofia are playing cards. they decide to shuffle a deck of playing cards. after a shuffle they choose a single card. if that card is of an ace or a king they win 2 points. f that card is of a jack or a queen they win 3points. if they card is any other number, they lose 1 point. is the game fair
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Random point values:::: .......2........3......-1
Probabilities::::::::.........8/52.....8/52....36/52
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Expected point value:: (16 + 24 - 36)/52 = 42/52 = 21/26
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Ans: Not fair; the expected value should be zero for the game to be "fair".
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Cheers,
Stan H.