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Math Help - Any poker players?

  1. #1
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    Post Any poker players?

    You are dealt a flush in the game of poker when you are dealt five cards of the same suit. If you are dealt a five-card hand, find the probability you will be dealt a heart flush.
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  2. #2
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    Re: Any poker players?

    Quote Originally Posted by alexgintom View Post
    You are dealt a flush in the game of poker when you are dealt five cards of the same suit. If you are dealt a five-card hand, find the probability you will be delt a heart flush.
    There are \dbinom{13}{5} ways to select five hearts.
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  3. #3
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    Re: Any poker players?

    Just continuing from the post above.... Classical probability - number of relevant events divided by total number of events: \frac{ {13 \choose 5}}{{52 \choose 5}} . One event is choosing 5 cards from a 52 cards deck. Relevant events are those where you ensure that all 5 cards will be of heart suit. So you isolate heart suited cards. From 13 of them you choose 5. There are {13 \choose 5} ways to do that. Now total number of events is the number of ways to choose 5 from 52: {52 \choose 5}. Divide those two and you have your probability.
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    Re: Any poker players?

    How do you divide that with a scientific calculator. I am still learning all the diferent things you can solve with it.
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    Re: Any poker players?

    Quote Originally Posted by alexgintom View Post
    How do you divide that with a scientific calculator. I am still learning all the diferent things you can solve with it.
    For {n \choose r} use nCr - n Choose r. Input on your calculator should go something like this:
    13nCr5÷52nCr5
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