Question

GA political discussion group consists of 6 Democrats and 10 Republicans. Four members are selected to attend a conference. Find the probability that the group will consist of all Republicans.

Answer 1

Solution:

Given: GA political discussion group consists of 6 Democrats and 10 Republicans.

Thus total people = 6 + 10 = 16

Four members are selected to attend a conference.

We have to find:

P( the group will consist of all Republicans) = ...........?

Four Republicans can be selected from 10 Republicans in ₁₀C₄ ways

and any four members can be selected from total 16 members in ₁₆C₄ ways.

thus

where

and

thus

_{(Round final answer to specified number of decimal places)}