# math

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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, what are you expected winnings?
Answer choice: a.)\$1.00 b.) -\$1.00 c.)-\$0.50 d.)\$0.50

• math -

P(3H) = 1/8
P(2H) = 3/8
P(1H) = 3/8
P(0h) = 1/8

expected winnings
3H ---> (1/8)15 = 1.875
2H ---> (3/8)5 = 1.875
1H ----> (3/8)2 = .75
0H -----> 0

total expected value = 3.5
but you paid \$4.00
so you will lose \$0.50

choice c) -.50

• math -

Thanks

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