In a certain country the true probability of a baby girl is 0.477. Among the next six randomly selected births in the country what is the probability that at least one of them is a boy
To find the probability that at least one of the six births is a boy, we can find the complement, which is the probability that all of the births are girls, and then subtract that from 1.
The probability that each individual birth is a girl is 0.477, so the probability that all six births are girls is (0.477)^6.
Therefore, the probability that at least one of the births is a boy is 1 - (0.477)^6 ≈ 1 - 0.065 ≈ 0.935.
So, the probability that at least one of the next six randomly selected births is a boy is approximately 0.935.