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Math Help - Probability of a certain sequence when rolling dices

  1. #1
    Newbie Maxim's Avatar
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    Probability of a certain sequence when rolling dices

    I roll a dice 50 times. What is the probability that there is a(t least one) sequence of (at least) 5 consecutive sixes in the result?

    For example, suppose somewhere in my sequence of 50 dice results, there is:
    ...46166666332...
    Then it's a "hit" cause it contains 5 consecutive sixes.

    I can't decide how to approach this: as a counting / combination problem, or as a probability problem. In either case I can't figure out how to avoid counting combinations or possibilities twice...
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  2. #2
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    Quote Originally Posted by Maxim View Post
    I roll a dice 50 times. What is the probability that there is a(t least one) sequence of (at least) 5 consecutive sixes in the result?

    For example, suppose somewhere in my sequence of 50 dice results, there is:
    ...46166666332...
    Then it's a "hit" cause it contains 5 consecutive sixes.

    I can't decide how to approach this: as a counting / combination problem, or as a probability problem. In either case I can't figure out how to avoid counting combinations or possibilities twice...
    This is the same kind of problem as in this thread.
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