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

When there are 2 children in a family, they can be both boys , both girls or 1 boy and 1 girl


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