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?

Let B be the event a boy is born, G be the event a girl is born

(i) We define the possible outcomes by an ordered set (x , y)

x denotes the event the first child is born

y denotes the event the second child is born

Sample space S={(G,G),(G,B),(B,G),(B,B)}

(ii)When there are two child in the family then only three possible cases are possible, 2 Girl child, 1 Girl Child or no Girl Child

Sample Space S= {2, 1, 0}