Mathematics, 08.04.2021 23:30, Harms

We play a game by tossing a fair coin twice. We win $5 if two heads are obtained; we lose $1 if one head and one tail are obtained; we lose $2 if two tails are obtained. It can be seen that the expected value of the game is $0.25 per play, and the standard deviation is approximately given as 2.7726. Suppose we play the game 10000 times. Give the best estimate of the total winnings after 10000 plays.

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We play a game by tossing a fair coin twice. We win $5 if two heads are obtained; we lose $1 if one...