Q. 125.0( 3 Votes )

A couple has 2 ch

Answer :


A couple has two children.


The sample space S = {(B,B),(B,G),(G,B),(G,G)}


Let P(A) be the probability of both being boys.


(i) Let P(B) be the probability of one of them being a boy.


The sample space of B ={(B,B),(B,G),(G,B)}



Let be the probability of one of them being a boy and both being boys.




Tip – By conditional probability, where is the probability of occurrence of the event A given that B has already occurred.


The probability that both are boys given that one of them is a boy:






(ii) Let P(B) be the probability of the elder being a boy.


The sample space of B ={(B,B),(B,G)}



Let be the probability of the elder being a boy and both being boys.




Tip – By conditional probability, where is the probability of occurrence of the event A given that B has already occurred.


The probability that both are boys given that the elder is a boy:






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