Question

Assuming boys and girls are equally​ likely, find the probability of a couple having a baby boy when their fifth child is​ born, given that the first four children were all boys

Answer 1

Answer: $\dfrac{1}{2}$

Step-by-step explanation:

If we assume that the boys and girls are equally​ likely, so the probability of having a girl is equal to probability of having a boy = $\dfrac{1}{2}$ .

Let B = Event of having a boy.

G= Event of having a girl.

Since both events are independent of each other . (Events that do not depends on each other.)

So irrespective of the four baby boy , the probability that the fifth child is a boy = $\dfrac{1}{2}$

Therefore , the probability of a couple having a baby boy when their fifth child is​ born, given that the first four children were all boys= $\dfrac{1}{2}$