Three statistics professors and seven chemistry professors are available to be advisors to a student organization. The student organization needs two of the professors to be advisors. If each professor has an equal chance of being selected, what is the probability that both professors are chemistry professors?
A) 0.467
B) 0.233
C) 0.111
D) 0.100

Question

Quizplus · Accepted Answer

There are 10 professors in total, and 7 of them are chemistry professors. The probability of selecting a chemistry professor as the first advisor is 7/10. After the first advisor is selected, there are 9 professors remaining, and 6 of them are chemistry professors. The probability of selecting a chemistry professor as the second advisor is 6/9. Therefore, the probability of selecting two chemistry professors as advisors is (7/10) * (6/9) = 0.467.

Three Statistics Professors and Seven Chemistry Professors Are Available to Be