Last year there were 300 new Ph.D.s in chemistry looking for academic jobs. Of those, 100 were women and 200 were men. Nationwide last year there were 75 new hirings in chemistry departments. How many of those new hires would be expected to be women if there was no gender discrimination?
A) 15
B) 20
C) 25
D) 50

Question

Quizplus · Accepted Answer

If there was no gender discrimination, the expected number of hires for women would be proportional to their representation among the new Ph.D.s. Since 100 out of 300 new Ph.D.s were women, they represent 1/3 of the total. Therefore, if there were 75 new hirings, 1/3 of those, or 25, would be expected to be women.

Last Year There Were 300 New Ph