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Math Help - odds of rolling 6 of a kind

  1. #1
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    odds of rolling 6 of a kind

    I need to know the odds of rolling 6 of the same number on a single roll of 6 standard dice. Can you please include a brief description of how your answer was calculated?
    Thank you.
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  2. #2
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    Re: odds of rolling 6 of a kind

    Quote Originally Posted by wshore View Post
    I need to know the odds of rolling 6 of the same number on a single roll of 6 standard dice. Can you please include a brief description of how your answer was calculated?
    There are 6^6 possible outcomes of tossing six dice.
    There is only way one to get all ones.
    There is only way one to get all twos.
    .
    .
    .
    There is only way one to get all sixes.

    So what is the answer?
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  3. #3
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    Re: odds of rolling 6 of a kind

    How about the odds of rolling 6 sixes?
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    Re: odds of rolling 6 of a kind

    Quote Originally Posted by wshore View Post
    How about the odds of rolling 6 sixes?
    The probabiity of rolling six 6's is \frac{1}{6^6}.
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  5. #5
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    Re: odds of rolling 6 of a kind

    Thank you.
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