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    whendricks's Avatar
    whendricks Posts: 2, Reputation: 1
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    #1

    Jul 12, 2012, 11:34 AM
    probability of drawing a royal flush from a deck of cards, order and suit irrelevant
    What is the probability of randomly drawing a royal flush from a standard deck of cards (without replacementT and order and suit are not important?
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    whendricks Posts: 2, Reputation: 1
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    #2

    Jul 12, 2012, 11:38 AM
    Quote Originally Posted by whendricks View Post
    What is the probability of randomly drawing a royal flush from a standard deck of cards (without replacementT and order and suit are not important?
    1.3 x 10^-8
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #3

    Jul 12, 2012, 11:38 AM
    Do you know how to calculate basic probabilities?

    You first need to know what is a royal flush.

    Then, you need to get the probability of picking a first card which is required to get a royal flush.

    Multiply that probability by the probability of getting the other cards. After the first card, your choices get narrower.
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #4

    Jul 12, 2012, 11:49 AM
    Quote Originally Posted by whendricks View Post
    1.3 x 10^-8
    Nope. You seem to have divided 4 (which is the number of hands that are a Royal Flush) by P(52,5), which is the number of ways that 5 cards can be dealt from a deck. I think you forgot to account for the fact that the 5 cards of a royal flush may be dealt in any order.
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