Explain basic probability set theory
Among 500 freshmen pursuing a business degree at a university 347 are enrolled in an economics course 204 are enrolled in a mathematics course, and 160 are enrolled in both an economics and a mathematics course. Explain the probability that a freshman selected at random from this group is enrolled in
1) An economics and/or a mathematics course?
2) Exactly one of these two courses?
3) Neither an economics course nor a mathematics course?