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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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