SOLUTION: A committee of two is selected at random from a set consisting of three Democrats, four Republicans and one Independent. (a) What is the probability that the committee consists

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Question 364444: A committee of two is selected at random from a set consisting of three Democrats, four Republicans and one Independent.
(a) What is the probability that the committee consists of no Republicans?
(b) What is the probability that the committee consists of all Republicans?

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
3 dems, 4 Reps, 1 Ind = 8
nCr=combination of n things taken r at a time.
.
a) 4C2/8C2=6/28=3/14 No Reps.
.
b) 4C2/8C2=6/28=3/14 All Reps.
.
Ed