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

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Question 1184299: A box contains 13 balls out of which 8 are red and 5 are white. Three balls are drawn at random. Find the probability that balls of both colors are drawn?
Answer by ikleyn(53937) About Me  (Show Source):
You can put this solution on YOUR website!
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This probability  P = P(RR) + P(WW)  is the complement to the probability that the different color balls are drawn


    P = P(RR) + P(WW) = 1 - P(RW) - P(WR) = 1+-+%288%2F13%29%2A%285%2F12%29+-+%285%2F13%29%2A%288%2F12%29 = 1+-+40%2F156+-+40%2F156 = 1+-+80%2F156 = %28156-80%29%2F156 = 76%2F156 = 19%2F39.    ANSWER

Solved.