SOLUTION: A box contains 13 balls out of which 8 are white balls and 5 are black balls. Three balls are drawn at random? What is the probability that balls of the both colors are drawn?

Question 1184397: A box contains 13 balls out of which 8 are white balls and 5 are black balls. Three balls are drawn at random? What is the probability that balls of the both colors are drawn?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
13C3 are the number of choices or 286.
8C2*5C1 is one way and that equals 140.
8C1*5C2 is the other way and that equals 80.
There are 66 other ways which are 8C3 or 56, and 5C3, or 10
the answer is 220/286 or 0.769.

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