Question

A university's leadership council is made up of 10 members: 3 are students, 3 are teachers, and 4 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?
Report your answer as an exact fraction.

Answer 1

1/15

Explanation:

First you must figure out your total outcomes, int the problem it said ten. Than take the number of students and put the number of students over the number of outcomes. This will tell you the probability of drawing one student. Next you must subtract 1 student and one member from your original equation. This is because you have assumed that the first drawing had a favorable outcome. So that leaves you with 2/9. Next you must multiply both the first fraction (3/10) and the second fraction (2/9) to come up with the total probability of the event occurring.

Hope that helped.