SOLUTION: a committee of five people is to be formed from six lawyers and seven teachers. find the probabitlity they are all lawyers and find the probability that none are lawyers

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Question 217347: a committee of five people is to be formed from six lawyers and seven teachers. find the probabitlity they are all lawyers
and find the probability that none are lawyers
Found 2 solutions by stanbon, Theo:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
a committee of five people is to be formed from six lawyers and seven teachers. find the probabitlity they are all lawyers
and find the probability that none are lawyers
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P(all lawyers) = 6C5/13C5 = 6/1287
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P(no lawyers) = 7C5/13C5 = 21/1287
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Cheers,
Stan H.

Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
There are 13 people in the draw.
6 are lawyers.
7 are teachers.
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probability a team of 5 people will consist of all lawyers assuming the team is picked randomly is:
6/13 * 5/12 * 4/11 * 3/10 * 2/9 = .004662005
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The probability that none would be lawyers is equal to the probability that all will be teachers. That probability is:
7/13 * 6/12 * 5/11 * 4/10 * 3/9 = .016317016
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