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A large tribe obeys a strict reproductive custom. All families continue having children until they have a girl, and then they stop having more children. Assume it is equally likely for a given birth to produce a girl or boy, and assume families can have any number of children so they always do get one girl eventually. In the 10th generation, what is the expected ratio of males to females? Also, what is the expected population size of the 10th generation relative to the 1st?

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