Or church committee has three liberals and five conservatives. if a committee of three people is the selected. find probability of one liberals and two conservative?

1 Answer
Apr 5, 2017

#= 15/28#

Explanation:

There are #((8),(3)) = 56# ways of choosing 3 people randomly from this population.

And then...

  • There are #((3),(1))= 3# ways of choosing a liberal randomly from 3 liberals.

  • There are #((5),(2))= 10# ways of choosing a 2 conservatives randomly from 5 conservatives.

So the probability of one liberal and two conservative is:

#(((3),(1)) times ((5),(2)))/(((8),(3))) = 15/28 approx 0.54#