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    • Question

      A bag contains ‘x’ white balls and 3 black balls. If

      the probability of getting a white ball is 4/5, then find the probability of getting different coloured balls when two balls are drawn randomly from the bag.
      A 7/15 Correct Answer Incorrect Answer
      B 2/9 Correct Answer Incorrect Answer
      C 4/13 Correct Answer Incorrect Answer
      D 12/35 Correct Answer Incorrect Answer
      E 6/17 Correct Answer Incorrect Answer

      Solution

      x/(x + 3) = 4/5
      → 5x = 4x + 12 → x = 12

      Total balls = 15
      P = (12C1 × 3C1)/(15C2) = (12×3)/105 = 36/105 = 12/35

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