Question

Consider a political discussion group consisting of 1010 ​Democrats, 1010 ​Republicans, and 55 Independents. Suppose that two group members are randomly​ selected, in​ succession, to attend a political convention. Find the probability of selecting two RepublicansRepublicans.

Answer 1

The probability is
`(3)/(20)`

Explanation:

Consider a political discussion group consisting of 10 ​Democrats, 10 ​Republicans, and 5 Independents.

Total members of the group =
`10+10+5=25`

Selecting 2 republicans in succession means selecting 1st republican out of 10 republicans and total 25 members and then selecting 2nd republican out of 9 left republicans and 24 members.

Hence, probability becomes:

`(10)/(25)* (9)/(24)`

=
`(90)/(600) =(3)/(20)`

So, the probability is
`(3)/(20)`