SOLUTION: Hello, please help me solve this problem. A committee of 4 people is to be form from 6 doctors and 8 dentists. Find the probability consists of 2 dentist and 2 doctors. I tried so

Algebra ->  Probability-and-statistics -> SOLUTION: Hello, please help me solve this problem. A committee of 4 people is to be form from 6 doctors and 8 dentists. Find the probability consists of 2 dentist and 2 doctors. I tried so      Log On


   



Question 833499: Hello, please help me solve this problem. A committee of 4 people is to be form from 6 doctors and 8 dentists. Find the probability consists of 2 dentist and 2 doctors.
I tried solving it by:
8C2-6C2/14C4 or 0.013 as an answer but I'm not sure if it is right. Hope you could help me. Thank you in advance!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Hello, please help me solve this problem. A committee of 4 people is to be form from 6 doctors and 8 dentists. Find the probability consists of 2 dentist and 2 doctors.
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# of ways to succeed: 8C2*6C2 = 28*15 = 420
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# of randomly chosen groups of 4: 14C4 = 1001
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P(2dent and 2doc) = 420/1001 = 0.4196
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Cheers,
Stan H.
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