Question

The mathematics faculty at a college consists of 7 ​professors, 4 associate​ professors, 4 assistant​ professors, and 6 instructors. If one faculty member is randomly​ selected, find the probability of choosing a professor or an instructor.

Answer 1

0.619 = 61.9% probability of choosing a professor or an instructor.

Explanation:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this question, we have that:

7 + 4 + 4 + 6 = 21 members

7 + 6 = 13 professors or instructors.

Find the probability of choosing a professor or an instructor.

p = 13/21 = 0.619

0.619 = 61.9% probability of choosing a professor or an instructor.