A board of directors consists of eight men and four women. A four-member search committee is randomly chosen 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) ⅛ or 0.125
D) 1/495 or 0.002

Question

Quizplus · Accepted Answer

The number of possible ways to choose a four-member search committee from twelve directors is: 
12C4 = (12!)/(4!8!) = 495

The number of possible ways to choose four women from four out of the total of four women is: 
4C4 = 1

Therefore, the probability that all four members of the search committee will be women is: 
1/495 = 0.002

A Board of Directors Consists of Eight Men and Four