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      Question

      A bag contains 25 white and some black balls. If the

      probability of drawing a black ball from the bag is 1.4 times that of drawing a white ball, find the number of black balls in the bag.
      A 30 Correct Answer Incorrect Answer
      B 32 Correct Answer Incorrect Answer
      C 35 Correct Answer Incorrect Answer
      D 31 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Given, Number of white balls = 25 Let x be the number of black balls. Total number of balls in the bag = 25 + x Also, the probability of drawing a black ball from the bag is 1.4 times that of drawing a white ball. ⇒ x/(25 + x) = 1.4[25/(25 + x)] ⇒ x = 35 Hence, the number of black balls in the bag = 35.

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