In a certain village, it is traditional for the eldestson

Chapter 3, Problem 3.75

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In a certain village, it is traditional for the eldestson (or the older son in a two-son family) andhis wife to be responsible for taking care of hisparents as they age. In recent years, however, thewomen of this village, not wanting that responsibility,have not looked favorably upon marrying aneldest son.(a) If every family in the village has two children,what proportion of all sons are older sons?(b) If every family in the village has three children,what proportion of all sons are eldestsons?Assume that each child is, independently, equallylikely to be either a boy or a girl.

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