If you were asked to play a game in which you tossed a fair coin three times and were given $2 for every head you threw, how much would you expect to win on average?

Question

Mathematics

Aaron Yoder

26 September, 22:17

If you were asked to play a game in which you tossed a fair coin three times and were given $2 for every head you threw, how much would you expect to win on average?

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Cadence · Answer 1

You would expect to win $3 on average over many games. This is a probability problem, and can be solved using the following math: (1/2) * 2 + (1/2) * 2 + (1/2) * 2 = 3 There is always a 50/50 chance you will get two dollars, so flipping the coin once averages $1 wins, while three times is three times that.