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math probability

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you roll 2 dice. what is the probability that at least one of them is a 6.

  • math probability -

    Let A denote the event that one specific die is a 6.

    Let B denote the event that the other die is a 6.

    P(A) = 1/6
    P(B) = 1/6

    Note that the events are independent.
    .: P(A˄B)=P(A)P(B)

    So we need to find: P(A˅B)

    Use the exclusion principle:
    P(A˅B) = P(A) + P(B) - P(A˄B)

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