Let F be the event that a student is enrolled in a finance course, and let S be the event that a student is enrolled in a statistics course.It is known that 40% of all students are enrolled in a finance course and 35% of all students are enrolled in statistics.Included in these numbers are 15% who are enrolled in both statistics and finance.A student is randomly selected, what is the probability that the student is enrolled in either finance or statistics or both?
A)0.15
B)0.75
C)0.60
D)0.55
E)0.90

Question

Quizplus · Accepted Answer

The probability that a student is enrolled in either finance or statistics or both is given by P(F ∪ S) = P(F) + P(S) - P(F ∩ S) = 0.40 + 0.35 - 0.15 = 0.60.

Let F Be the Event That a Student Is Enrolled