Answer:
P=0.228
Step-by-step explanation:
We know that from a faculty of six professors, six associate professors, ten assistant professors, and twelve instructors, a committee of size six is to be selected.
Therefore, we have 34 people.
We calculate the number of possible combinations:
Of the 6 professors we choose 2, and of the other 28 people we choose 4.
We calculate the number of favorable combinations:
Therefore, the probability is: