8 history majors and 7 political science majors apply for 5 jobs. What is the probability that all but 1 position will be filled by a political science major? Assume that each person is equally likely to be chosen for each job.
A. 8/429

B. 2/39

C. 36/675

D. 40/429

Question

8 history majors and 7 political science majors apply for 5 jobs. What is the probability that all but 1 position will be filled by a political science major? Assume that each person is equally likely to be chosen for each job.
A. 8/429

B. 2/39

C. 36/675

D. 40/429

kropot72 · Answer

The required probability is given by:
$$P(4\ P.S.\ majors)=\frac{7C4\times8C1}{15C5}=you\ can\ calculate$$

anonymous · Answer

thank you so much!

anonymous · Answer

I got .09324, so 40/429, right?

kropot72 · Answer

Good work! You are correct :)