SOLUTION: In hospital, there are 12 nurses and 4 doctors. If a committee contains 6 persons, what is the probability that two doctors in this committee?

Question 1101324: In hospital, there are 12 nurses and 4 doctors. If a committee contains 6 persons, what is the probability that two doctors in this committee?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In hospital, there are 12 nurses and 4 doctors. If a committee contains 6 persons, what is the probability that two doctors in this committee?
-----
# of ways to pick 2 doctors:: 4C2 = 6
# of ways to pick 4 nurses:: 12C4 = (12*11*10*9)/(1*2*3*4) = 99*5 = 495
----
# of committies with 2 docs and nurses = 6*495
# of random committies with 6 persons = 16C6
-------------
P(condition) = (6*495)/16C6 = (6*495)/8008 = 0.3709
Cheers,
Stan H.
-------------
RELATED QUESTIONS
In hospital, there are 12 nurses and 4 doctors ,then: if a committee of 4 nurses and 2... (answered by jorel1380)

In hospital, there are 12 nurses and 4 doctors,then: if a committee of 4 nurses and 2... (answered by math_helper)

There are 9 nurses and 6 doctors working in a hospital ward. How many ways could they... (answered by Edwin McCravy)

A panel of 6 members is to be formed from 5 doctors and 10 nurses to include each... (answered by ikleyn)

A panel of 6 members is to be formed from 5 doctors and 10nurses to include each... (answered by greenestamps)

A panel of 6 members is to be formed from 5 doctors and 10nurses to include each... (answered by mananth,ikleyn)

1) in how many ways can 10 fruits be split into 3 parts consisting of 4,2,4 fruits... (answered by stanbon,Edwin McCravy)

a commitee is formed by randomly selecting from eight nurses and two doctors. what is the (answered by jsmallt9)

Please help me solve this problem. A committee of 4 people is to be form from 6 doctors... (answered by oscargut)