Question
A bag contains 3 white balls, 6 black balls and 5 red
balls. Two balls are drawn simultaneously. Find the probability that both the balls are of same colour.Solution
Total number of balls in the bag = 3 + 6 + 5 = 14 Total possible outcomes = 14C2 = 91 Number of favourable outcomes = 3C2 + 6C2 + 5C2 = 3 + 15 + 10 = 28 Required probability = 28/91 = 4/13
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