The position of chief of police in the city of Corry Pennsyl

The position of chief of police in the city of Corry, Pennsylvania, is vacant. A search committee of Corry residents is charged with the responsibility of recommending a new chief to the city council. There are 12 applicants, 4 of whom are either female or members of a minority. The search committee decides to interview all 12 of the applicants. To begin, they randomly select four applicants to be interviewed on the first day, and none of the four is female or a member of a minority. The local newspaper, the Corry Press, suggests discrimination in an editorial.

What is the likelihood of this occurrence?Round to three decimal places

Solution

a)

There are 12C4 ways to choose any four.

There are 8C4 ways to choose those who are not female or member of minority.

Thus,

P = (8C4)/(12C4) = 0.141414141 = 0.141 [ANSWER]