Question

A professor gave her students six essay questions from which she will select three for a test. A student has time to study for only three of these six questions. What is the probability that, of the questions studied, all three were the test questions selected by the professor?

Answer 1

Probability that, of the questions studied, all three were the test questions selected by the professor is 0.05

Explanation:

Total question gives by teacher = 6

A student has time to study for only three of these six questions.

We are supposed to find the probability that, of the questions studied, all three were the test questions selected by the professor?

So, Probability that, of the questions studied, all three were the test questions selected by the professor =
`(^3C_3)/(^6C_3)`

=
`((3!)/(3!(3-3)!))/((6!)/(3!(6-3)!))`

=
`0.05`

Hence Probability that, of the questions studied, all three were the test questions selected by the professor is 0.05