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18 December, 02:53

A family has two children. If B represents a boy and G represents a girl, the set of outcomes for the possible genders of the children is S = {BB, BG, GB, GG}, with the oldest child listed first in each pair. Let X represent the number of times G occurs. Which of the following is the probability distribution, PX (x) ?

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  1. 18 December, 03:17
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    Determine how many times G occurred in the set of outcomes given.

    So,

    BB = G never occurred = 0

    BG = G occurred once out of 2 = 1/2

    GB = G occurred once out of 2 = 1/2

    GG = G occurred twice = 2/2 or 1

    So, the probability distribution is 0, 1/2, 1/2, and 1.
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