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      Question

      8 defective pens are accidentally mixed with 110

      good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lot. Determine the probability that the pen is taken out is a good one.
      A 0.916 Correct Answer Incorrect Answer
      B 0.933 Correct Answer Incorrect Answer
      C 0.932 Correct Answer Incorrect Answer
      D 0.884 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Numbers of pens = Numbers of defective pens + Numbers of good pens
      ∴ Total number of pens = 110 + 8 = 118 pens
      P(E) = (Number of favourable outcomes) / (Total number of outcomes)
      P(picking a good pen) = 110/118 = 55/59 = 0.932

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