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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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Answer» Solution :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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