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) 0.100
C) 0.111
D) 0.233

Question

Quizplus · Accepted Answer

There are 10 professors total, and 7 of them are chemistry professors. The probability of selecting a chemistry professor for the first advisor is 7/10. Once a chemistry professor has been selected, there are 6 chemistry professors remaining out of 9 total professors. The probability of selecting a chemistry professor for the second advisor is 6/9. The probability of selecting two chemistry professors is (7/10) * (6/9) = 0.467.

Three Statistics Professors and Seven Chemistry Professors Are Available to Be