SOLUTION: In a penny Toss game, a player tosses 4 pennies. The player wins a pen-and-pencil set if he/she tosses exactly 2 heads and 2 tails. Any other combination is a loss for the player.

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: In a penny Toss game, a player tosses 4 pennies. The player wins a pen-and-pencil set if he/she tosses exactly 2 heads and 2 tails. Any other combination is a loss for the player.       Log On

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Question 388294: In a penny Toss game, a player tosses 4 pennies. The player wins a pen-and-pencil set if he/she tosses exactly 2 heads and 2 tails. Any other combination is a loss for the player. What is the probability of winning this game? If someone played this game 80 times, about how many pen-and-pencil sets would he/she win? Show and explain your calculations.

Please help me! I would greatly appreciate your help :)

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The probability of getting 2 heads and two tails in a single toss of four unbiased/fair pennies, or the probability of winning this game, is 4C2%2A%281%2F2%29%5E2%281%2F2%29%5E2+=+6%2A%281%2F16%29+=+6%2F16+=+3%2F8. If someone played this game 80 times, the expectation is that he wins (3/8)*80 = 30 times.