A board of directors consists of eight men and four women. A four-member search committee is to be chosen at random to recommend a new company president. What is the probability that all four members of the search committee will be women?
A) 1/120 or 0.00083
B) 1/16 or 0.0625
C) 1/8 or 0.125
D) 1/495 or 0.002
E) None of the choices are correct

Question

Quizplus · Accepted Answer

The probability is calculated by dividing the number of ways to choose 4 women from 4 by the total number of ways to choose 4 members from 12. This is (4C4)/(12C4) = 1/495.

A Board of Directors Consists of Eight Men and Four