An experiment consists of 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 boys in a family?

Explanation

(i)If `B` represents a Boy and `G` represents a Girl, then the sample space will be,

`S_1 = {(B,B),(B,G),(G,B),(G,G)}`



(ii)From previous part, we can see that `S_1` contains 0 girl, 1 girl and 2 girls.

So, sample space `S_2 = {0,1,2}`.