Answer
Let x = BB = 1/4
and y = BB and BG = 2/4
Let event x = both of the children will be a boy
x = 1/4
Let y = at least one of the children is a boy
Thus y = 3/4
P(x | y) = P(x and y) / P(y)
= P(x) / P(y)
= 1/4 / 2/4
= 1/2 = 0.5
Work Step by Step
as given above