Question

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?

Select the correct answer from above options

Answer 1

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

S1={(B,B),(B,G),(G,B),(G,G)}

(ii)From previous part, we can see that S1 contains 0 girl, 1 girl and 2 girls.

So, sample space S2={0,1,2}.