At a college 72 of courses have a final exams and 46 of cour

At a college, 72% of courses have a final exams and 46% of courses require research papers. Suppose that 32% of courses have a research papers and a final exam.

F = The event that a course has a final exam

R = The event that a course has a research paper

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

b.Calculate the probability that a course has neither a final exam nor a research paper.

Solution

a)

P(F U R) = P(F) + P(R) - P(F n R) = 0.72+0.46-0.32 = 0.86 [ANSWER]

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b)

P(F U R)\' = 1 - P(F U R) = 1 - 0.86 = 0.14 [ANSWER]