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      Question

      A box contains 6 red balls, 4 blue balls and 2 yellow

      balls. Two balls are picked at random. What is the probability that both balls are of the same color?
      A 1/3 Correct Answer Incorrect Answer
      B 1/4 Correct Answer Incorrect Answer
      C 2/3 Correct Answer Incorrect Answer
      D 1/5 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Required probability = (6/12) × (5/11) + (4/12) × (3/11) + (2/12) × (1/11) = (30/132) + (12/132) + (2/132) = 44/132 = 4/12 = 1/3

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