A probability teaser. Suppose (as is roughly correct) that each child born isequally

Chapter 0, Problem 12.39

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A probability teaser. Suppose (as is roughly correct) that each child born isequally likely to be a boy or a girl and that the sexes of successive children areindependent. If we let BG mean that the older child is a boy and the youngerchild is a girl, then each of the combinations BB, BG, GB, GG has probability0.25. Ashley and Brianna each have two children.(a) You know that at least one of Ashleys children is a boy. What is theconditional probability that she has two boys?(b) You know that Briannas older child is a boy. What is the conditionalprobability that she has two boys?

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