Question
A bag contains 7 yellow balls, 5 black balls and 3 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 = 7 + 5 + 3 = 15 Total possible outcomes = 15C2 = 105 Number of favourable outcomes = 7C2 + 5C2 + 3C2 = 21 + 10 + 3 = 34 Required probability = 34/105
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