Math

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A card is drawn from an ordinary pack of playing cards and a person bets that it is a spade or a king.What are odds against his winning this bet?

  • Math -

    P(spade) = 1/4
    P(king) = 1/13

    P(spade v king) = P(spade) + P(king) - P(spade ^ king)
    = 1/4 + 1/13 - 1/4 * 1/13
    = (13+4-1)/(4*13)
    = 16/52
    = 4/13

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