Q. 115.0( 1 Vote )

A family has 2 ch

Answer :

Given, A family has two children

To Find: Find the probability that both are boys


Explanation: Let us Assume Boy is B and Girl is G


So, The number of sample spaces are 4.


The sample space , S = {BB, BG, GB, GG}


Now, If Both are boys,


Then, Sample space, A = {BB}


The number of sample space, nA = 1


(i) at least one of the children is a boy


If there is at least one boy


B = {BB, BG, GB}


The number of sample space, nB = 3


P(B) =


Now,




The required probability P(A/B)


We know,


So,


Hence,


(ii) the elder child is a boy.


Let C = The elder child is a boy


So, The sample space , Cs = {BB, BG}


The number of sample space, nC = 2


Since



And,



Now, The required probability,


We know,


So,


Hence,


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