at a college, 72% of courses have final exams and 46% of courses require research papers. suppose that 32% of courses have a research paper and a final exam. let fbe the event that a course has a final exam. letrbe the event that a course requires a research paper. find the probability that a course has a final exam or a research project
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Given : at a college, 72% of courses have final exams and 46% of courses require research papers. suppose that 32% of courses have a research paper and a final exam.
To find : the probability that a course has a final exam or a research project
Solution:
f = 72 %
r = 46 %
f ∩ r = 32 %
f U r = ?
f U r = f + r - f ∩ r
=> f U r = 72 + 46 - 32
=> f U r = 72 + 14
=> f U r = 86 %
probability that a course has a final exam or a research project = 86 %
= 0.86
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