A bag contains 2 red Roses, 4 yellow Roses and 6 pink Roses. Two roses are drawn at random. What is the probability that they are not of same color?

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Possible outcomes = (RY, YP, PR) 2C1 4C1 + 4C1 6C1 + 6C1 2C1 Required probability = (2C1 4C1 + 4C1 6C1 + 6C1 2C1)/(12C2) = 8 + 24 + 12/66 = 44/66 = 2/3.

A bag contains 2 red Roses, 4 yellow Roses and 6 pink Roses. Two roses are drawn at random. What is the probability that they are not of same color?

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