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Given a family with four children, find the probability of the event. The youngest is a boy, given that the birth order alternates between girls

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Given a family with four children, find the probability of the event. The youngest is a boy, given that the birth order alternates between girls and boys. The probability that the youngest is a boy, given that the birth order alternates between girls and boys is (Simplify your answer. Type an integer or a fraction.)

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