Probability-plse

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A committee of two persons is selected from two men and two women.
Find the probability that the committee will have at least one man.

  • Probability-plse -

    total number of choices
    = C(4,2) = 6

    number of ways to pick 2 women
    = C(2,2) = 1

    number of ways with at least 1 man
    = 1 - 1/6
    = 5/6

    Proof:
    let the women be A, and B
    let the men be C and D

    choices
    AB AC AD
    BC BD
    CD
    of those 5 cases contain A or B
    only one does not contain either an A or a B
    My answer is correct

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