Answer: [tex]\dfrac{1}{2}[/tex]
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 = [tex]\dfrac{1}{2}[/tex] .
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 = [tex]\dfrac{1}{2}[/tex]
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= [tex]\dfrac{1}{2}[/tex]
