The dean of a law school wishes to form an executive committee of 8 from among the 36 tenured faculty members at the school. The selection is to be random, and at the school there are 10 tenured faculty members in accounting.
a. What is the probability that the committee will contain none of faculty members in accounting?
b. What is the probability that the committee will contain at least 2 of faculty members in accounting?
c. What is the probability that the committee will contain no more than 2 of faculty members in accounting?