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      Question

      21 defective pens are accidentally mixed with 135

      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 0.865 Correct Answer Incorrect Answer
      B 0.870 Correct Answer Incorrect Answer
      C 0.875 Correct Answer Incorrect Answer
      D 0.877 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 = 135 + 21 = 156 pens
      P(E) = (Number of favourable outcomes) / (Total number of outcomes)
      P(picking a good pen) = 135/156 = 0.865

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