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

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

A 9/29

B 10/21

C 12/21

D 14/19

Solution

Correct Answer: Option B

4 persons can be selected from 9 in \(9C_4\) ways =126

Fvaourable events = \(4C_2\times5C_2\) =60

So,required probability = 60/126 = 10/21