a small company has an applicant pool of 30 qualified persons of whom 18 are women.

Question

If the company hires two persons from this pool, what is the probability due to chance alone that both will be men?

Answer 1

Hi,

The probability is around 15.2%.

 

Step 1: to fill the first position, the probability is 12/30

Step 2: to fill the second position, the probability is 11/29. (Remember, there will be only 11 left after the first position is filled and there will be a total of 29 applicants left.)

Step 3: Multiply.

(12/30)(11/29)= 0.15172

convert to percent and round. 15.2%