A family has two children. find the probability that both the children are girls given that at least
one of them is a girl?
Choose the correct choice
A) 1/3 B) 1/5 C) 1/7 D) 1/9 E) 2/3
Let b stand for boy and g for girl. The sample space of the experiment is   S = {(g, g), (g, b), (b, g), (b, b)}   Let E and F denote the following events :   E : ‘both the children are girls’   F : ‘at least one of the child is a girl’   Then E = {(g,g)} and F = {(g,g), (g,b), (b,g)}   Now E n F = {(g,g)}   Thus P(F) = 3/4   and P (E n F )= 1/4   Therefore P(E|F) = P(E ∩ F)/P(F) = (1/4)/(3/4) = 1/3   1/3)
<result>A</result>
A family has two children. find the probability that both the children are girls given that at least
one of them is a girl?