A company that has 150 employees chooses a committee of 13 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 13 employees can be chosen from 150.
(b) Use technology to find the number of ways 13 employees can be chosen from 94 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.