Question

In a certain​ country, the true probability of a baby being a boy is 0.524. Among the next five randomly selected births in the​ country, what is the probability that at least one of them is a girl​?

Answer 1

The probability that at least one of them is a girl is 0.96049.

Explanation:

In a certain​ country, the true probability of a baby being a boy is 0.524.

This is a binomial problem.

p(boy) = 0.524

n = 5

p(girl) =
`1-0.524=0.476`

P(at least one girl) = 1 - p(5 boys) =
`1-0.524^5` = 0.96049

Hence, the probability is 0.96049.