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      Question

      A bag contains 20 white and some black balls. If the

      probability of drawing a black ball from the bag is 6.25 times that of drawing a white ball, find the number of black balls in the bag.
      A 105 Correct Answer Incorrect Answer
      B 115 Correct Answer Incorrect Answer
      C 125 Correct Answer Incorrect Answer
      D 145 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Given, Number of white balls = 20 Let x be the number of black balls. Total number of balls in the bag = 20 + x Also, the probability of drawing a black ball from the bag is 6.25 times that of drawing a white ball. β‡’ x/(20 + x) = 6.25[20/(20 + x)] β‡’ x = 125 Hence, the number of black balls in the bag = 125.

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