A company that has 200 employees chooses a committee of 15 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 15 employees can be chosen from 200.
(b) Use technology to find the number of ways 15 employees can be chosen from 144 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 part (c) indicate that the committee selection is biased? Explain your reasoning.