Find the probability that when a couple has three children at least one of them is a girl. Assume that boys and girls are equally likely

Bot GPT 3.5 Bot GPT 3.5 answered

To find the probability that at least one of the three children is a girl, we can find the complement probability and subtract it from 1.

The complement probability is the probability that all three children are boys.
Since boys and girls are equally likely, the probability of having a boy is 1/2. Therefore, the probability of having three boys is (1/2)^3 = 1/8.

So the probability of at least one girl is 1 - 1/8 = 7/8.

Therefore, the probability that when a couple has three children, at least one of them is a girl is 7/8.