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Consider the population of all families with two children.  Represent the gender of each child using G...

Consider the population of all families with two children.  Represent the gender of each child using G for girl and B.  The gender information is sequential with the first letter indicating the gender of the older sibling.  Thus, a family having a girl first and then a boy is denoted GB.  If we assume that a child is equally likely to be male or female, what is the probability that the selected family has two girls given that the older sibling is a girl?   

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