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Thread: Probability problem

  1. #1
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    Unhappy Probability problem

    What is the probability that an Event A (which occurs 4 in 36) will occur 4 times before Event B (which occurs 10 in 36) occurs a 5th time ?
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  2. #2
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    Re: Probability problem

    Quote Originally Posted by DavidMath View Post
    What is the probability that an Event A (which occurs 4 in 36) will occur 4 times before Event B (which occurs 10 in 36) occurs a 5th time ?
    Consider the string $AAAABBBB\Large B$
    The probability of that string occurs is $\displaystyle {\left( {\dfrac{4}{{36}}} \right)^4}{\left( {\dfrac{{10}}{{36}}} \right)^5}$.
    However, how many ways can four A's & four B's appear before the $\Large B~?$
    Last edited by Plato; Sep 14th 2018 at 09:33 AM.
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