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

## Answer This Question

## Related Questions

- Word Problem. - A game is played by flipping three coins. If all three coins ...
- math - A game is played by flipping three coins. If all three coins lands heads ...
- Math - Four coins fall onto the floor. Find the probability that (a) exactly ...
- Math - Olivia tossed two fair two-sided coins. In a game, she earns 4 points if ...
- Math - Suppose you toss three fair coins. You win 32 cents if all three coins ...
- Advanced Math - The probability of getting 2 heads and 1 tail when three coins ...
- Math: Probablity - A penny, a nickel, and a dime are flipped at the same time. ...
- math - two coins are tossed list all the possible outcomes what is the ...
- Math - You are given 9 to 1 odds against tossing three heads with three coins, ...
- math - you have16 coins that are heads up an18 coins that are tails up. After ...

More Related Questions