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Math Help - Poker probability question

  1. #1
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    Wink Poker probability question

    Two hands are dealt from a regular 52 card deck. The flop, river and turn are opened. Thus, there are two pairs of cards for two players, along with 5 more cards selected from the deck, making the flop, river and turn. What is the probability that one of the hands is Four of a kind, Aces and a King, and the other hand is a Royal Flush?
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  2. #2
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    Quote Originally Posted by judah.mizrachi View Post
    Two hands are dealt from a regular 52 card deck. The flop, river and turn are opened. Thus, there are two pairs of cards for two players, along with 5 more cards selected from the deck, making the flop, river and turn. What is the probability that one of the hands is Four of a kind, Aces and a King, and the other hand is a Royal Flush?
    I don't get what you mean by the highlighted part. The first player is holding AK and has for of a kind? So the board has to be AAAxx, where xx complete the royal flush for the other player.

    Is this what you mean?
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  3. #3
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    One player gets AA and the other gets J 10


    The river, flop and turn are, say:

    A Q K A X

    The J, 10, Q, K, one of the Aces on the table are of the same suit.
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