SOLUTION: An organization consisting of 26 women and 15 men needs to select from its ranks a committee of 4 people. If the members of the committee are selected at random, what is the pro

Question 1153838: An organization consisting of 26 women and 15 men needs to select from its ranks a committee of 4 people.
If the members of the committee are selected at random, what is the probability that the committee will consist of only women?
Answer by ikleyn(52847) (Show Source): You can put this solution on YOUR website!
.


    P = 


The formula says that the probability is the ratio of the number of quadruples(4 women) taken from 26 women
to the number of all possible quadruples of 4 persons selected from 26+15 = 41 person.


 = 14950

 = 101270


P =  = 0.1476.     ANSWER

Solved.

NOTE: I used Excel-function COMBIN(n,k) to calculate quickly and with no headache.

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