Question

Among 500 freshmen pursuing a business degree at a university, 315 are enrolled in an economics course, 213 are enrolled in a mathematics course, and 123 are enrolled in both an economics and a mathematics course. What is the probability that a freshman selected at random from this group is enrolled in each of the following? (Enter your answers to three decimal places.) (a) an economics and/or a mathematics course(b) exactly one of these two courses(c) neither an economics course nor a mathematics course

Answer 1

Explanation:

Given that among 500 freshmen pursuing a business degree at a university, 315 are enrolled in an economics course, 213 are enrolled in a mathematics course, and 123 are enrolled in both an economics and a mathematics course.

From the above we find that

a) either economics of Math course is

`315+213-123 =405`

Out of 500 students 405 have taken either Math or Economics

Hence

c) student who have taken neither =
`500-405 =95`

Exactly one course is either math or economics - both

=
`405-123 = 282`