A company that has 250 employees chooses a committee of 14 to represent employee retirement issues. When the committee is​ formed, none of the 56 minority employees are selected. ​(a) Use technology to find the number of ways 14 employees can be chosen from 250. ​(b) Use technology to find the number of ways 14 employees can be chosen from 194 nonminorities. ​(c) What is the probability that the committee contains no minorities when the committee is chosen randomly​ (without bias)? ​(d) Does your answer to​ (c) indicate that the committee selection is​ biased? Explain your reasoning.

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A company that has 250 employees chooses a committee of 14 to represent employee retirement issues. When the committee is​ formed, none of the 56 minority employees are selected.

​(a) Use technology to find the number of ways 14 employees can be chosen from 250.
​(b) Use technology to find the number of ways 14 employees can be chosen from 194 nonminorities.
​(c) What is the probability that the committee contains no minorities when the committee is chosen randomly​ (without bias)?
​(d) Does your answer to​ (c) indicate that the committee selection is​ biased? Explain your reasoning.
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