Drew's school is forming a planning committee for an upcoming cultural festival. The committee of 4 members is to be selected from among 10 teachers and 6 students. The probability that the committee contains exactly two members from each group is

A 45/728

B 135/364

C 229/364

D 683/728

Answer: B. 135/364

In solving this kind of probability problems, we have to use the Hyper geometric Probability without replacement. We are given with two groups which would be the source of the 4 members of the new group, 2 coming from each respective group.

Equation:

P = [ (pCr) (qCm) ] / (sCt)

= [ (10C2) (6C2) ] / (16C4)

= 135/364