Posted by **Michelle** on Sunday, December 20, 2009 at 11:26pm.

A game is played flipping three coins. If all three coins land heads up you win $15. If two coins land heads up you win $5. If one coin lands heads up you win $2. If no coins land heads up you win nothing. If you pay $4 to play, what are your expected winnings?

- Math -
**Reiny**, Monday, December 21, 2009 at 1:31am
HHH: expectation = 15(1/8) = 1.875

2H,1T: expectation = 5(3/8) = 1.875

1H,2T expectation = 2(3/8) = 0.75

TTT expectation = 0(1/8) = 0

total expected winnings = 4.5

Since you are paying $4 to win $4.50, you would never ever see this game in a place like Vegas

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