Answer:
S =
{(b, b), (b, g), (g, b), (g, g)}
where
b = Boy, g = girl
(i)
Let first element in each ordered pair is younger than the other.
Let
E = event that both children are girls = {g, g}
And
F = event that the youngest child is girl
=
{(g, b), (g, g)}
Now
required conditional probability
(ii)
Let x = event that both children are girls = {g, g}
any
y = event that atleast one child is a girl
=
{(b,g), (g, b), (g, g)}
Now
required conditional probability is
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