Question

A city council consists of six democrats and seven republicans. if a committee of five people is​ selected, find the probability of selecting three democrats and two republicans.

Answer 1

Given that a city council consists of six democrats and seven republicans, the probability of selecting three democrats and two republicans if a committee of five people is to be selected is given by


`( ^6C_3* ^7C_2)/( ^(13)C_5) = (20*21)/(1,287) \\ \\ = (420)/(1,287) =0.3263`