Q. 11

A couple has 2 ch

Answer :

Sample space = [{GG}, {BB},{GB},{BG}]


(i)


Given, one of two children are boy


So, for both to be boys, the other one should also be boy.


A = one of them is boy [{BG}, {GB}, {BB}]


B = Both are boys {BB}


Now A B = {BB}


P(A) = 3/4


P(B)=1/4


P (A B) = 1/4


Therefore,


We know when we have to find the probability of event B given that A has occurred, the formula is:




(ii)


Given, older child is a boy,


for both of them to be boys, the younger one should also be boy.


A = older child is boy [{BG}, {BB}]


B = Both are boys {BB}


Now A B = {BB}


P(A) = 2/4


P(B)=1/4


P (A B) = 1/4


Therefore,


We know when we have to find the probability of event B given that A has occurred, the formula is:




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