Question

A large company must hire a new president. The Board of Directors prepares a list of five candidates, all of whom are equally qualified. Two of these candidates are members of a minority group. To avoid bias in the selection of the candidate, the company decides to select the president by lottery. a. What is the probability one of the minority candidates is hired?

Answer 1

Answer: 0.4

Explanation:

Given : The number of candidates are equally qualified for President = 5

The number of candidates are members of a minority group =2

Since , to avoid bias in the selection of the candidate, the company decides to select the president by lottery. Here the chances of each candidates is same.

The probability one of the minority candidates is hired is given by :-

`\text{P(Minority)}=\frac{\text{Number of minority candidates}}{\text{Total candidates}}\\\\=(2)/(5)=0.4`

Hence, the probability one of the minority candidates is hired =0.4