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In a certain village, it is traditional for the eldest son
Chapter 3, Problem 75P(choose chapter or problem)
Problem 75P
In a certain village, it is traditional for the eldest son (or the older son in a two-son family) and his wife to be responsible for taking care of his parents as they age. In recent years, however, the women of this village, not wanting that responsibility, have not looked favorably upon marrying an eldest 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 eldest sons?
Assume that each child is, independently, equally likely to be either a boy or a girl.
Questions & Answers
QUESTION:
Problem 75P
In a certain village, it is traditional for the eldest son (or the older son in a two-son family) and his wife to be responsible for taking care of his parents as they age. In recent years, however, the women of this village, not wanting that responsibility, have not looked favorably upon marrying an eldest 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 eldest sons?
Assume that each child is, independently, equally likely to be either a boy or a girl.
ANSWER:
Step 1 of 3
It is given that in a village, the tradition is that the eldest son in the family and his wife has to take the responsibility of the family.
But, the women now are not willing to marry the elder son in the family.
Using this we need to find the required values.