Question 856356: Please help!
Question: A company that has 200 employees chooses a committee of 15 to represent employee retirement issues. When the committee was formed, none of the 56 minority employees were selected.
1. Find the number of ways 15 employees can be chosen from 200.
2. Find the number of ways 15 employees can be chosen from 144 non-minorities.
3. If the committee was chosen randomly (without bias), what is the probability that it contained no minorities?
4. Does your answer to question 3 indicate that the committee selection process is biased?
I'm lost. I used the nCr function to solve question 1 & 2 but not sure if correct.
1. 1.462941635 E22
2. 8.532308709 E19
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Question: A company that has 200 employees chooses a committee of 15 to represent employee retirement issues. When the committee was formed, none of the 56 minority employees were selected.
1. Find the number of ways 15 employees can be chosen from 200.::
200C15
This is the number of randomly chosen sets of 15 employees
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2. Find the number of ways 15 employees can be chosen from 144 non-minorities.
144C15
This is the number of sets of 15 non-minority employees
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3. If the committee was chosen randomly (without bias), what is the probability that it contained no minorities::: 144C15/200C15 = 0.0058
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4. Does your answer to question 3 indicate that the committee selection process is biased?
Chances of this happening are less than 1%
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Cheers,
Stan H.
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