Question

If a couple has 3 children, what is the probability of all three children being girls? Justify.

Answer 1

The probability of all three children being girls will Be: 1/8

Explanation:

The couple has 3 children.

We have to determine the probability of all three children being girls.

As we know that for each child, the probability of being a girl is '
`(1)/(2)` ' as is the probability of being a boy is '
`(1)/(2)` '.

so for there to be all girls, the probability will be:

P ( all girls) = 1/2 × 1/2 × 1/2 = 1/8

Therefore, the probability of all three children being girls will Be: 1/8