SOLUTION: An urn contains 6 red, 6 white, and 2 blue marbles. Three marbles are selected at random and without replacement. What is the probability that one of each color is selected?

Question 848357: An urn contains 6 red, 6 white, and 2 blue marbles. Three marbles are selected at random and without replacement. What is the probability that one of each color is selected?
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
We need to look at the following probabilities.
RWB = (6/14)(6/13)(2/12)
RBW = (6/14)(2/13)(6/12)
.... before we continue
BRW
BWR
WRB
WBR
Notice that we will always get 6*6*2 in the top and 14*13*12 in the bottom.
So we can just rewrite this as
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