SOLUTION: . A committee of 4 people is to be selected from a group of 5 men and 7 women. If the selection is made randomly, what is the probability the committee will consist of 2 men and

Algebra.Com
Question 1190744: . A committee of 4 people is to be selected from a group of 5 men and 7 women. If the selection
is made randomly, what is the probability the committee will consist of 2 men and 2 women
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.
A committee of 4 people is to be selected from a group of 5 men and 7 women. If the selection
is made randomly, what is the probability the committee will consist of 2 men and 2 women
~~~~~~~~~~~~~~~ 

5 + 7 = 12 people.


In all,   =  = 495 combinations are possible of 12 people taken 4 at a time.


It is the full size of the space of events in this problem.


Of them,   = 10*21 = 210 quadruples consists of two men and two women: they are favorable quadruples in this problem.


THEREFORE, the probability under the problem's question is


    P =  =  =  = 0.4242... = 0.4242 = 42.42%   (rounded).    ANSWER

Solved.



RELATED QUESTIONS

A committee of 5 is to be selected from a group of 6 men and 9 women. If the selection is (answered by stanbon)
From a group of 7 men and 5 women, a committee of 5 people is to be chosen. If each... (answered by ewatrrr)
a committee of 9 people are selected at random from a group of 15 people, whih is made up (answered by stanbon)
A committee of seven people is to be selected from a group of 10 men and 8 women.What is... (answered by Edwin McCravy,rothauserc)
A class consists of 12 boys and 15 girls. How many different committees of four can be... (answered by ikleyn)
A committee of 4 people is to be selected from a group consisting of 8 men and 4 women. (answered by Edwin McCravy)
A committee of 5 people is selected from a group of 7 men and 8 women. In how many ways... (answered by ikleyn)
A committee of 6 people is to be chosen from a group consisting of 7 men and 8 women. If... (answered by sudhanshu_kmr)
4. A committee of 5 people is to be formed randomly from a group of 10 women and 6 men.... (answered by Edwin McCravy,Boreal)