Question 1

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Probability

A company that has 199 employees chooses a committee of 17 to represent employee retirement issues.  When the committee was formed, none of the 60 minority employees were selected.

  1. Find the number of ways 17 employees can be chosen from 199.


  2. Find the number of ways 17 employees can be chosen from 139 nonminorities.


  3. If the committee was chosen randomly (without bias), what is the probability that it contained no minorities?


  4. Does your answer to part 3 indicate that the committee selection was biased?
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