Answer :

At least one is a girl

Let C be the event that at least one is a girl

Then C = {(b, g), (g, b), (g, g)}, n(C) = 3

And the corresponding probability becomes

The sample space for the both girls is girl child and at least one is a girl will become

(A∩C) = {(g, g)}, n(A∩C)=1

And the corresponding probability becomes

So the conditional probability that both are girls given that the youngest is a girl is

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