Question

Problem Page A university's leadership council is made up of 14 members: 5 are students, 4 are teachers, and 5 are deans. A newspaper reporter is planning to select two of the council members for interviews. The first member will be chosen at random, and then the second member will be chosen at random from the remaining members. What is the probability that two students will be selected?

Answer 1

0.01323

Explanation:

Given that a university's leadership council is made up of 14 members: 5 are students, 4 are teachers, and 5 are deans.

Selecting I person at random canbe done in 28 ways

The next one from remaining in 27 ways

Total no of ways of selecting =
`28*27 = 756`

No of ways of selecting 2 students = 5C2 = 10

Probability that two students will be selected

=
`(10)/(756) \\=0.01323`