Question

Find the probability that when a couple has 4 children, at least one of them is a boy?

1) 1/16
2) 1/8
3) 7/8
4) 15/16

Answer 1

The answer in 3) 7/8 let me know if it helps

Answer 2

The probability that when a couple has 4 children, at least one of them is a boy is 15/16.

Step-by-step explanation:

To find the probability that when a couple has 4 children, at least one of them is a boy, we can find the probability of the complement event (that no children are boys) and subtract it from 1. Let's calculate:

1. The probability of having a girl is 1/2, so the probability of having all girls is (1/2)^4 = 1/16.
2. The probability of having at least one boy is 1 - 1/16 = 15/16.

Therefore, the probability that when a couple has 4 children, at least one of them is a boy is 15/16.