Q. 225.0( 1 Vote )

Assume that each

Answer :

Let B and G stands for boy and girl child respectively. Then the sample space if a family has two children will be,


S = {BB,BG,GB,GG}


Let A be the event when both children are girls.


A = {GG}


Conditional probability that both are girls if


(i) the youngest is a girl


Let B be the event when youngest child is a girl.


B = {BG,GG}



Now,


AB={GG}





Thus, Conditional probability that both children are girls if the youngest is a girl is .


Conditional probability that both are girls if


(ii) atleast one is a girl


Let C be the event when atleast one child is a girl.


C = {BG,GB,GG}



Now,



AC={GG}





Thus, Conditional probability that both children are girls if atleast one child is a girl is .


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