A family has two children. Let C be a characteristic that a child can have, and assume
Chapter 2, Problem 29(choose chapter or problem)
A family has two children. Let C be a characteristic that a child can have, and assume that each child has characteristic C with probability p, independently of each other and of gender. For example, C could be the characteristic born in winter as in Example 2.2.7. Show that the probability that both children are girls given that at least one is a girl with characteristic C is 2p 4p , which is 1/3 if p = 1 (agreeing with the first part of Example 2.2.5) and approaches 1/2 from below as p ! 0 (agreeing with Example 2.2.7
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