SOLUTION: 10 chemists and 15 biologists apply for a position in a company. If 5 people are hired at random, what is the probability that 2 are chemists and 3 are biologists?

Question 578703: 10 chemists and 15 biologists apply for a position in a company. If 5 people are hired at random, what is the probability that 2 are chemists and 3 are biologists?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
10 chemists and 15 biologists apply for a position in a company. If 5 people are hired at random, what is the probability that 2 are chemists and 3 are biologists?
-----
# of ways to succeed: 10C2*15C3 = 45*455
---
# of random sets of 5: 25C5 = 53130
----
Ans: (45*455)/53130 = 0.3854
==================
Cheers,
Stan H.
==================
RELATED QUESTIONS
Four equally qualified people apply for two identical positions in a company. One and... (answered by Fombitz)

A company manager wants to hire 4 people from a group of 10 applicants, 4 men and 6... (answered by edjones)

A company manager wants to hire 4 people from a group of 10 applicants, 4 men and 6... (answered by jorel1380)

Three hundred people apply for three jobs. Sixty of the applicants are women. (a) If... (answered by Theo)

180 people apply for 5 jobs. Fifty of the applicants are women. If 5 persons are selected (answered by ewatrrr)

A theater company plans to hire people to build a stage set. The work time t (in hours... (answered by rfer)

Suppose 15 manual laborers are waiting for a job. There are six positions open. Now,... (answered by stanbon)

you are one of 15 people applying for 7 positions in your company. Only 7 of the 15 will... (answered by solver91311)

Three hundred people apply for three jobs. 90 of the applicants are women. (a) If three... (answered by ikleyn)