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      Question

      Bag M contains 2 red balls and 4 blue balls, whereas bag

      N contains 5 red balls and 2 blue balls. One ball is drawn at random from M and transferred into N. Two balls are now drawn at random from N. Find the probability that both balls are of the same colour.
      A 3/7 Correct Answer Incorrect Answer
      B 1/2 Correct Answer Incorrect Answer
      C 4/9 Correct Answer Incorrect Answer
      D 5/8 Correct Answer Incorrect Answer
      E 7/10 Correct Answer Incorrect Answer

      Solution

      Required probability
      = (2/6) X (6/8) X (5/7) + (2/6) X (2/8) X (1/7) + (4/6) X (5/8) X (4/7) + (4/6) X (3/8) X (2/7) = (2/6) X (30/56) + (2/6) X (2/56) + (4/6) X (20/56) + (4/6) X (6/56) = (60/336) + (4/336) + (80/336) + (24/336) = (168/336) = (1/2)

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