Question

In a class of 10 boys and 12 girls, a committee of 4 members is to be formed. What is the probability to form a committee consisting of 2 boys and 2 girls?A. 0.3040B. 0.4060C. 0.5060D. 0.2060

Answer 1

Given:

Number of boys=10

Number of girls=12

Out of 22 members, 4 members is need to be selected.

To find probability to form a committee consisting of 2 boys and 2 girls:

So, we get

`\begin{gathered} (^(10)C_2*^(12)C_2)/(^(22)C_4)=((10*9)/(2*1)*(12*11)/(2*1))/((22*21*20*19)/(4*3*2*1)) \\ =(5*9*6*11)/(11*7*5*19) \\ =(9*6)/(7*19) \\ =(54)/(133) \\ =0.4060 \end{gathered}`

Hence, the correct option is B.