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 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?

(i) To Find: Write the sample space for the given experiment.


Explanation: Here, The family has 2 children


Let us Assume Boy = B


Let us Assume Girl = G


So, The number of sample spaces for 2 children is 22=4


Sample space are, S={(B1, B2), (G1, G2), (G1, B2), (B1, G2)}


Where , number 1 and 2 are represent elder and younger.


Hence, S is the sample space for given experiment.


(ii) Explanation: Here, The family has 2 children, So the possibility of boys in a family is:


(a) No boys only girl


(b) One boy and one girl


(c) Two boys only


So, The Sample space for the given condition is:


S={0, 1, 2}


Hence, S is the sample spaces for the given experiment.


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