Question

At a college, 71% of courses have final exams and 45% of courses require research papers. Suppose that 26% of courses have a research paper and a final exam.

Part (a)

Find the probability that a course has a final exam or a research paper.


Part (b)

Find the probability that a course has neither of these two requirements.

Answer 1

.9 or 90%

.1 or 10%

Explanation:

E= Exam

P=Paper

E= .71

P= .45

E∩P=.26

A.) E∪P=?

E∪P= E+P-E∩P

.71+.45-.26= .9

B.) E'∩P' = (E∪P)'

(E∪P)' = 1-.9 = .1