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      Question

      A bag contains 5 black balls,“a” white balls and

      “b” purple balls. If one ball taken out from the bag, then probability of being it white is 2/7, while the probability of being purple is 5/14. The sum between number of white and purple balls in that bag is?
      A 12 Correct Answer Incorrect Answer
      B 15 Correct Answer Incorrect Answer
      C 9 Correct Answer Incorrect Answer
      D 10 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      Probability of white ball= a/(5 + a + b) a/(5 + a + b) = 2/7 5a – 2b = 10 …………(1) Probability of purple = b/(5 + a + b) = 5/14 9b – 5a = 25 ………….(2) From (1) and (2) we get  a = 4 b = 5 Therefore sum will be (a + b) = (4 + 5) = 9

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