Question

Consider a political discussion group consisting of 4 democrats, 8 republicans, and 3 independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting a republican. And then an independent.

Answer 1

0.1143

Step-by-step explanation:

There are 15 people in total because

4 democrats + 8 republicans + 3 independents = 15 people

Of them, 8 are republican, so the probability to select first a republican is

8/15

Then, you have 14 people ( 15 people less the republican), and from them 3 are independents, so the probability to select then an independent is

3/14

Therefore, the probability of selecting a Republican and then an independent is

`(8)/(15)*(3)/(14)=0.1143`

So, the answer is 0.1143