Find the probability of selecting 2 woman when four persons are choosen at random from a group of 3 men, 2 woman and 4 children.

Find the probability of selecting 2 woman when four persons are choosen at random from a group of 3 men, 2 woman and 4 children.

A 1/5

B 1/7

C 1/6

D 1/9

Solution

Correct Answer: Option C

Out of 9 persons,4 can be choosen in \(9C_4\) ways =126.

Favourable events for given condition = \(2C_2\times7C_2\) = 21.

So,required probability = 21/126 =1/6.