Question

A business school has 15 full-time faculty and seven of them have tenure. A random sample of six faculty are randomly selected to form a committee. What is the probability that exactly three of the faculty on the committee have tenure?

Answer 1

The probability where exactly three of the faculty have tenure is 0.3916.

The computation of the probability where exactly three of the faculty have tenure is given below:

Since there are 6 faculty from 15 should be chosen so it should be $^{15}C_6$

Now there are 3 faculty from 7 should be chosen so it should be $^{7}C_3$  

Now the probability is

$= \frac{^7C_3 \times ^8C_3}{^{15}C_6}$

= 0.3916

Therefore we can conclude that the probability where exactly three of the faculty have tenure is 0.3916.

Learn more about the probability here: brainly.com/question/11234923