Question 8 An experiment consists of recording boy-girl composition of families with 2 children.
(i) What is the sample space if we are interested in knowing whether it is a boy or girl in the order of their births?
(ii) What is the sample space if we are interested in the number of girls in the family?
Class X1 - Maths -Probability Page 386
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(a) Let B and B' denotes first and second boy also G and G' denotes first and second girl respectively.
The different possibilities are,both the babies are boys, 1st baby is boy and 2nd baby is girl , 1st baby is girl and 2nd second baby is boy , both babies are girls .
so, sample space = {(BB'), (BG'), (GB'), (GG')}
(b) sample space for girl = {0, 1 , 2} [ because the different possibilities are no girl , one girl and two girl }
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Answer:
(1).s={BB,GG,BG,GB}.
(2). S={0,1,2}.
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