Question

Consider a political discussion group consisting of 9 ​Democrats, 6 ​Republicans, and 6 Independents. Suppose that two group members are randomly​ selected, in​ succession, to attend a political convention. Find the probability of selecting no Democrats.

Answer 1

11/35

Explanation:

There are a total of 21 people in the group, 12 of whom are not Democrats. The members are selected in succession. The probability the first member isn't a Democrat is 12/21.

Now there are 20 people remaining, 11 of who are not Democrats. So the probability the second member isn't a Democrat is 11/20.

The total probability is (12/21) (11/20) = 11/35