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      Question

      Bag X contains 2 red balls and 6 blue balls, whereas

      bag Y contains 3 red balls and 2 blue balls. One ball is drawn at random from X and transferred into Y. Two balls are now drawn at random from Y. Find the probability that both balls are of different colours.
      A 7/20 Correct Answer Incorrect Answer
      B 7/12 Correct Answer Incorrect Answer
      C 5/12 Correct Answer Incorrect Answer
      D 3/4 Correct Answer Incorrect Answer
      E 2/3 Correct Answer Incorrect Answer

      Solution

      Required probability
      = (2/8) X 2 X (4/6) X (2/5) + (6/8) X 2 X (3/6) X (3/5) = (1/4) X (16/30) + (3/4) X (18/30) = (16/120) + (54/120) = (70/120) = (7/12)

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