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      Question

      A bag contains 4 red balls, 7 white balls and 6 blue

      balls. Two balls are drawn simultaneously. Find the probability that both the balls are of same colour.
      A 19/68 Correct Answer Incorrect Answer
      B 5/17 Correct Answer Incorrect Answer
      C 21/68 Correct Answer Incorrect Answer
      D 11/34 Correct Answer Incorrect Answer

      Solution

      Total number of balls in the bag = 4 + 7 + 6 = 17 Total possible outcomes = 17C2 = 136 Number of favourable outcomes = 4C2 + 7C2 + 6C2 = 6 + 21 + 15 = 42 Required probability = 42/136 = 21/68

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