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      Question

      Bag A contains 4 red balls and 6 blue balls, whereas

      bag B contains 5 red balls and 3 blue balls. One ball is drawn at random from A and transferred into B. Two balls are now drawn at random from B. Find the probability that both balls are of the same colour.
      A 2/5 Correct Answer Incorrect Answer
      B 7/15 Correct Answer Incorrect Answer
      C 8/15 Correct Answer Incorrect Answer
      D 11/30 Correct Answer Incorrect Answer
      E 13/30 Correct Answer Incorrect Answer

      Solution

      Required probability
      = (4/10) X (6/9) X (5/8) + (4/10) X (3/9) X (2/8) + (6/10) X (5/9) X (4/8) + (6/10) X (4/9) X (3/8) = (1/6) + (1/30) + (1/6) + (1/10) = (5/30) + (1/30) + (5/30) + (3/30) = (14/30) = (7/15)

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