Suppose the candidate pool for two appointed positions includes 6 women and 9 men. All candidates were told that the positions were randomly filled. Find the probability that two men
Are selected to fill the appointed positions.
A).143
B).343
C).360
D).160

Question

Quizplus · Accepted Answer

The probability of selecting two men out of a total of 15 candidates (6 women + 9 men) for two positions is calculated using combinations. The number of ways to choose 2 men out of 9 is 9C2, and the total number of ways to choose any 2 candidates out of 15 is 15C2. The probability is thus (9C2) / (15C2) = (9*8)/(2*1) / (15*14)/(2*1) = 72 / 210 = 36 / 105 = 12 / 35 = 0.342857... which approximates to 343/1000 when expressed as a fraction out of 1000.

Suppose the Candidate Pool for Two Appointed Positions Includes 6