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

It is given that boys and girls are equally likely so the probability of getting boy or girl on any birth is 1/2= 0.5

Now we know that getting boy or girl is independent of each other.

So getting boy or girl on previous birth does not affect the probability of getting boy or girl on next birth. So probability of getting boy or girl on each birth is same 0.5

The probability of getting baby boy on sixth birth given first five are girl is same as getting baby on sixth birth.

P(Getting boy on sixth birth ) = 1/2 = 0.5

So the probability of getting baby boy on sixth birth given first five are girl is 0.5