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A couple has four children. What is the probability that there will be 2 boys and 2 girls? Assume that no outside forces influence the births.

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    Here are the ways it can happen:
    all boys, only one way.
    bbbb
    three boys, one girl, four ways:
    bbbg
    bbgb
    bgbb
    gbbb
    2girls, two boys six ways.
    ggbb
    gbgb
    gbbg
    bggb
    bgbg
    bbgg
    three g, one boy, same as 3b,one g four ways.
    four girls
    gggg one way.

    so probaby of two girls, two boys..

    = six/total ways=6/16= 3/8

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