Question

A couple intends to have four children. Assume that having a boy or a girl is an equally likely event. Find the probability that the couple has at least two girls.

Answer 1

To find the probability that the couple has at least two girls, we can calculate the complement of the event that they have less than two girls. The probability of having less than two girls is 3/16, so the probability of having at least two girls is 13/16.

Step-by-step explanation:

To find the probability that the couple has at least two girls, we can calculate the complement of the event that they have less than two girls. So, let's find the probability of having less than two girls and subtract it from 1.

There are 2 possibilities for having less than two girls: having four boys or having three boys and one girl. The probability of having four boys is (1/2)^4 = 1/16. The probability of having three boys and one girl is (1/2)^3 * (1/2) = 1/8. Adding these probabilities together, we get 1/16 + 1/8 = 3/16.

So, the probability of having at least two girls is 1 - 3/16 = 13/16.