Let A be the event that a student is enrolled in an accounting course, and let S be the event that a student is enrolled in a statistics course.It is known that 30% of all students are enrolled in an accounting course and 40% of all students are enrolled in statistics.Included in these numbers are 15% who are enrolled in both statistics and accounting.A student is randomly selected, and it is found that the student is enrolled in accounting.What is the probability that this student is also enrolled in statistics?
A)0.15
B)0.75
C)0.375
D)0.50
E)0.80

Question

Quizplus · Accepted Answer

The probability that a student is enrolled in both accounting and statistics is 0.15. Given that a student is enrolled in accounting (P(A) = 0.30), the probability that they are also enrolled in statistics is P(S|A) = P(S ∩ A) / P(A) = 0.15 / 0.30 = 0.50.

Let a Be the Event That a Student Is Enrolled