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}