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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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Solution

Given that :

12 defective pens are accidentally mixed with 132 good ones. One pen is taken out at random.

Find out the probability that the pen is taken out is a good one.

Numbers of pens = Numbers of defective pens + Numbers of good pens

∴ Total number of pens =132+12

=144 pens

Let E be the event of getting a good pen.

PE=(Number of favourable outcomes/Total number of outcomes)

PE=132144

=1112

=0.916

Hence, the probability that the pen is taken out is a good one is 0.916


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