33. From the set of all families with three children a family is selected at random. Let...

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33. From the set of all families with three children a family is selected at random. Let A be the event that “the family has children of both sexes” and B be the event that “there is at most one girl in the family.” Are A and B independent? Answer the same question for families with two children and families with four children. Assume that for any family size all sex distributions have equal probabilities.

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