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From a faculty of six professors, six associate
Chapter , Problem 15(choose chapter or problem)
From a faculty of six professors, six associate professors, ten assistant professors, and twelve instructors, a committee of size six is formed randomly. What is the probability that (a) there are exactly two professors on the committee; (b) all committee members are of the same rank?
Questions & Answers
QUESTION:
From a faculty of six professors, six associate professors, ten assistant professors, and twelve instructors, a committee of size six is formed randomly. What is the probability that (a) there are exactly two professors on the committee; (b) all committee members are of the same rank?
ANSWER:Step 1 of 4
From a faculty of six professors, six associate professors, ten assistant professors, and twelve instructors, a committee of size six is formed randomly.
Total number of members is 34.
From 34 persons, 6 persons are selected at random to form a committee.
6 persons can be chosen out of 34 persons in 
Therefore, the total number of points in the sample space is
Let A be the event that in the committee, there are exactly two professors.
Two professors can be selected from six professors in 
