Among 500 freshmen pursuing a business degree at a university, 320 are enrolled in an economics course, 216 are enrolled in a mathematics course, and 129 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?

(a) an economics and/or a mathematics course

81.4% probability that a freshman selected at random from this group is enrolled in an economics and/or a mathematics course

Step-by-step explanation:

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

Total outcomes:

500 freshmen

Desired outcomes:

Enrolled in an economics and/or a mathematics course

Build the Venn's diagram.

I am going to say that:

A is the number of students enrolled in the economics course.

B is the number of students enrolled in the mathematics course.

We have that:

In which a is the number of students who are enrolled in the economics course but not mathematics and is the number of students enrolled in both those courses.

By the same logic, we have that:

129 are enrolled in both an economics and a mathematics course.

This means that .

216 are enrolled in a mathematics course

This means that

320 are enrolled in an economics course

This means that

We want

Probability:

81.4% probability that a freshman selected at random from this group is enrolled in an economics and/or a mathematics course

could

step-by-step explanation:

u send me a picture of ur work

10

step-by-step explanation: