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9 October, 18:51

A family has two children. If the genders of these children are listed in the order they are born, there are four possible outcomes: BB, BG, GB, and GG. Assume these outcomes are equally likely.

Let X represent the number of children that are girls.

Find the probability distribution of X.

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  1. 9 October, 20:42
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    P (X=0) = 0.25

    P (X=1) = 0.50

    P (X=2) = 0.25

    Step-by-step explanation:

    The possible outcomes of this event are: BB, BG, GB and GG.

    There is one out of four events (GG) in which there are two girls (X=2).

    There is one out of four events (BB) in which there are no girls (X=0).

    There are two out of four events (GB and BG)) in which there is one girl (X=1).

    Therefore, the probability distribution of X is:

    P (X=0) = 1/4 = 0.25

    P (X=1) = 2/4 = 0.50

    P (X=2) = 1/4 = 0.25
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