Now we have the following questions: (a) What is the probability that the child chosen is the first-born in his/her family if you use method (1)? (b) What is the probability that the child chosen is the first-born in his/her family if you use method (2)?
4.10) A community has m families with children. The largest family has k children. For i = 1, . . . , k, there are ni families with i children, so n1 + n2 + · · · + nk = m. Choose a child at random from the community in one of the following ways:
(1) Choose one of the m families at random, and then choose one of the children at random from
that family.
(2) Choose one of the n1 + 2n2 + · · · + knk children at random.
Now we have the following questions:
(a) What is the probability that the child chosen is the first-born in his/her family if you use method
(1)?
(b) What is the probability that the child chosen is the first-born in his/her family if you use method
(2)?
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