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In a family with 4 children what is the probability of having 1 boy and then 3 girls, in that order? (Exclude multiple births and assume all outcomes are equally likely).
In a family with 4 children, what is the probability of having 1 boy and 3 girls, in any order? (Exclude multiple births and assume all outcomes are equally likely).

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  1. your first part is
    (1/2)(1/2)(1/2)(1/2)
    = (1/2)^4
    = 1/16

    2nd part:
    possible outcomes:
    BGGG
    GBGG
    GGBG
    GGGB , so 4 in all
    each one has a prob of 1/16
    so 4/16 or 1/4

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  2. In a family with 3 children what is the probability of having 1 boy and then 2 girls, in that order? (Exclude multiple births and assume all outcomes are equally likely).
    In a family with 3 children, what is the probability of having 1 boy and 2 girls, in any order? (Exclude multiple births and assume all outcomes are equally likely).

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