Question 1

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Probability

A company that has 195 employees chooses a committee of 17 to represent employee retirement issues.  When the committee was formed, none of the 58 minority employees were selected.

  1. Find the number of ways 17 employees can be chosen from 195.


  2. Find the number of ways 17 employees can be chosen from 137 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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