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?

Solution:

(i) When the order of the birth of a girl or a boy is considered, the sample space is given by S = {GG, GB, BG, BB}.

(ii) Since the maximum number of children in each family is 2, a family can either have 2 girls or 1 girl or no girls.

Hence, the required sample space is S = {0, 1, 2}

NCERT Solutions Class 11 Maths Chapter 16 Exercise 16.1 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?

Summary:

(i) The sample space if we are interested in knowing whether it is a boy or girl in the order of their births(S) = {GG, GB, BG, BB} (ii) The sample space if we are interested in the number of girls in the family(S) = {0, 1, 2}