Textbook ExpertVerified Tutor
28 Oct 2021
Given information
At a college, of courses have final exams and of courses require research papers. Suppose that of courses
have a research paper and a final exam. Let be the event that a course has a final exam. Let be the event that a course
requires a research paper.
Step-by-step explanation
Step 1.
Let and be two events, then we have
,
Let the events be
Event that a course has a final exam,
Event that a course has a research paper.
,
,
.
We need to calculate the probability that a course has a final exam or a research project
Thus is given as
,
Substituting the values, we get
Hence, the probability that a course has a final exam or a research project is .
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