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math

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A standard deck of cards has 52 cards in it. The cards are divided into 4 suits or 13 cards each.If one draws two cards at random from the deck of cards what is the probability that they are of the same suit ?

  • math -

    The first draw is some suit.
    The probability that the second draw is that suit is 1/4 = 0.25

  • math -

    number of same suit pairs ... 4 * 13C2

    number of pairs ... 52C2

    probability ... 4 * 13C2 / 52C2

  • math -

    I assumed you put the first card back. If not then it becomes 12/51

  • math -

    re Damon's answer

    after the 1st card is drawn, that suit has fewer cards than the other three suits ... the probability is not 1/4 it is 12/51

    but his logic works

  • math -

    so ... replacement or not?

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