In a certain country the true probability of a baby being a boy is 0.536. Among the next eight randomly selected births in the country, what is the probability that at least one of them a girl
To find the probability that at least one of the next eight randomly selected births is a girl, we can find the probability that all eight are boys and then subtract it from 1.
The probability of a baby being a girl is 1 - 0.536 = 0.464.
The probability of all eight being boys is (0.536)^8.
So, the probability of at least one of them being a girl is 1 - (0.536)^8 ≈ 1 - 0.028988789 ≈ 0.971011211.
Therefore, the probability that at least one of the next eight randomly selected births is a girl is approximately 0.971 or 97.1%.