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Given a standard deck of 52 cards, what is the probability that two cards drawn at random will have the same rank? Note that first card drawn is not added back into the deck when the second card is drawn.

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7 answers
  1. 4/52 * 3/51

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  2. what I gave you was for a specific rank, like two queens
    multiply by 13 because there are 13 ranks

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  3. the first card can be any

    probability = 1

    the second card can be only the same rank

    probability = 3/51

    1 * 3/51 = 3/51

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  4. Go with jolly rancher !

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  5. they're the same

    just two ways to think about it!

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  6. Yours is much better. I got off on that both queens tack :)

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  7. My reasoning is like this:

    Number of pair for each rank = C(4,2) = 6
    so all possible pairs of the same rank
    = 13(6) = 78
    possible pairs = C(52,2) = 1326
    prob(pair of the same rank) = 78/1326 = 1/17

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