# Word Problem.

posted by .

A game is played by flipping three coins. If all three coins land heads up you win \$15. If two coins lands 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 play \$4 to play, what are your expected winnings?

• Word Problem. -

Prob (HHH) = 1/8
expected value = (1/8)(15) = 1.875
prob(HHT or HTH or THH) 3/8
expected winnings = (3/8)(5) = 1 .875
prob(HTT or THT or TTH) = 3/8
expected winnings = (3/8)(2) = .75
prob( TTT) = 1/8
expected winning = 0

total expected winnings = 4.5
to play the game costs \$4
expected winnings = \$0.50

Bet you won't see that game in Vegas.

• Word Problem. -

Thank you Reiny.

## Similar Questions

The probability of getting 2 heads and 1 tail when three coins are tossed is 3 in 8. Find the odds of not getting 2 heads and 1 tail. ANSWER: 5:8?
2. ### Math

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 …
3. ### math

A game is played by flipping three coins. If all three coins lands heads up you win \$15. If two coin lands 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 play \$4 to play, …
4. ### Math

You are given 9 to 1 odds against tossing three heads with three coins, meaning you win \$9 if you succeed and you lose \$1 if you fail. (Find the expected value of the described game. Would you expect to win or lose money in 1 game?
5. ### Math

Suppose you toss three fair coins. You win 32 cents if all three coins come up the same. You win 8 cents if exactly 1 head occurs, and you win 48 cents if exactly 2 heads appears. Would you pay 30 cents to play this game?
6. ### Math: Probablity

A penny, a nickel, and a dime are flipped at the same time. Each coin can come out either heads (H) or tails (T). a. What name is given to the act of flipping the coins?
7. ### Math

Four coins fall onto the floor. Find the probability that (a) exactly three coins land heads up (b) all coins land tails up (c) two or more coins land heads up (d) no more than two coins land tails up (e) at least one coin lands tails …
8. ### Math

Olivia tossed two fair two-sided coins. In a game, she earns 4 points if exactly one coin lands on heads and 6 points if both coins land on heads. If points are not earned for tails, what is the expected value of the points earned?
9. ### statistics and probabilities

You have two coins that look identical, but one of them is fair and the other is weighted. The weighted coin has a 3/4 chance of flipping heads and a 1/4 chance of flipping tails. Unfortunately, you've forgotten which coin is which! …
10. ### statistics

You have two coins that look identical, but one of them is fair and the other is weighted. The weighted coin has a 3/4 chance of flipping heads and a 1/4 chance of flipping tails. Unfortunately, you've forgotten which coin is which! …

More Similar Questions