Question

assuming boys and girls are equally likely, find the probability of a couple having a baby girl when their fourth child is born, given that the first three children were all girls. the probability is (type an integer or a simplified fraction.)

Explanation:

Step1: Identify independent events

The gender of each child is an independent event.

Step2: Determine probability of a girl

Since boys and girls are equally likely, the probability of having a girl in a single - birth is $\frac{1}{2}$. The previous children's genders do not affect the gender of the fourth child.

Answer:

$\frac{1}{2}$