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    • Question

      A bag contains ‘x’ blue balls and 5 yellow balls. If

      the probability of getting a blue ball is 2/3, then find the probability of getting different coloured balls when two balls are drawn randomly from the bag.
      A 1/3 Correct Answer Incorrect Answer
      B 10/21 Correct Answer Incorrect Answer
      C 6/13 Correct Answer Incorrect Answer
      D 2/5 Correct Answer Incorrect Answer
      E 11/20 Correct Answer Incorrect Answer

      Solution

      x/(x + 5) = 2/3
      → 3x = 2x + 10 → x = 10
      Total balls = 15
      P = (10C1 × 5C1)/(15C2) = (10×5)/105 = 50/105 = 10/21

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