Question

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, and it is found that the student is enrolled in finance.

What is the probability that this student is also enrolled in statistics?

Answer 1

0.375

Explanation:

Given that F is 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.

P(F) = 0.40: P(S) = 0.35: P(FS) = 0.15

A student is randomly selected, and it is found that the student is enrolled in finance.

Probability that this student is also enrolled in statistics/ student is enrolled in finance.

=
`(P(FS))/(P(F)) \\=(0.15)/(0.40) \\=0.375`

(Using conditional probability formula)