Question:

12 defective pens are accidentally mixed with 132 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 taken out is a good one.

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The probability of selecting an item is calculated by dividing the number of favorable outcomes by the total possible outcomes.
Updated On: Aug 18, 2025
  • 1/7
  • 11/12
  • 10/12
  • 9/12
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The Correct Option is B

Solution and Explanation

The total number of pens = \( 12 + 132 = 144 \) The number of good pens = 132 The probability that a randomly chosen pen is good is given by: \[ P(\text{good pen}) = \frac{\text{Number of good pens}}{\text{Total number of pens}} = \frac{132}{144} = \frac{11}{12} \] - Option (A) 1/7: This is incorrect. The probability is much higher.
- Option (C) 10/12: This is incorrect. The correct probability is 11/12.
- Option (D) 9/12: This is incorrect as well.
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