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Prob. Math

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Sarah draws a card from a deck of 52 cards. She receives 40 cents for a heart, 50 cents for an ace, and 90 cents for the ace of hearts. The cost of a draw is 15 cents. How much will Sarah lose if she plays this game?

  • Prob. Math -

    She wins if

    1. she draws a heart, but not the ace of heart (40 cents)
    Prob = 12/52
    2. she draws an ace , but not the ace of heart (50 cents)
    prob = 3/52
    3. she draws the ace of hearts ( 90 cents)
    prob = 1/52

    expected return
    = (12/52)(40) + (3/52)(50) + (1/52)(90)
    = 13.8 cents

    so if she pays 15 cents to play the game ........

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