Q3 of 23 Page 1

Attempt of the following question:

There are three boys and two girls. A committee of two is to be formed.
Find the probability of the following events:
Event A : The committee contains at least one girl.
Event B : The committee contains one boy and one girl.

Let the tree boys be B1, B2 and B3

And, the two girls are: G1 and G2


Sample Space


⇒ S = {B1B2, B1B3, B1G1, B1G2, B2B3, B2G1, B2G2, B3G1, B3G2, G1G2}


⇒ n(S) = 10


Event A = The committee contains at least one girl.


⇒ A = {B1G1, B1G2, B2G1, B2G2, B3G1, B3G2, G1G2}


⇒ n(A) = 7



Event B: The committee contains one boy and one girl.


⇒ B = {B1G1, B1G2, B2G1, B2G2, B3G1, B3G2, }


⇒ n(B) = 6



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