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 only boys.

Answer 1

The probability that the couple has only boys is 1/16 or 0.0625 (6.25%).

Step-by-step explanation:

To find the probability that the couple has only boys, we need to consider all the possible combinations of children they can have. Since having a boy or a girl is an equally likely event, there are 2 possibilities for each child. For 4 children, there are a total of 2^4 = 16 possible outcomes. Now, let's calculate the probability of having only boys:

1. There is only 1 outcome where all 4 children are boys. (BBBB)
2. Therefore, the probability of having only boys is 1/16 or 0.0625 (6.25%).