SOLUTION: A committee of 5 people is to be formed from 10 doctors and 8 dentists. Find the probability that the committee will consists of A) all dentist B) 2 dentists and 3 Doctors

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Question 857523: A committee of 5 people is to be formed from 10 doctors and 8 dentists. Find the probability that the committee will consists of
A) all dentist

B) 2 dentists and 3 Doctors

C) at least one doctor

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A committee of 5 people is to be formed from 10 doctors and 8 dentists. Find the probability that the committee will consists of
A) all dentist
Ans: 8C5/18C5 = 0.0065
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B) 2 dentists and 3 Doctors
Ans: [8C2*10C3]/18C5 = 0.3922
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C) at least one doctor
Ans: P(at least one doctor = 1 - P(5 dentists) = 1 - 0.0065 = 0.0035
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Cheers,
Stan H.