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Assume that each born child is equally l...

Assume that each born child is equally likely to be a boy or a girl. If a family has two children,what is the conditional probability that both are girls given that
the youngest is a girl

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Let A be the event that both children are girls and B be the event that the youngest child is a girl. Then A={GG}and B={GB,GG}.therefore `AnnB`={GG} `rArr` `P(AnnB)=1/4 and P(B) = 2/4 Hence,the required probability
=P(A/B0=`(P(AnnB))/P(B)`=1/4/2/4=1/2
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