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Mathematics

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.

Probability

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Answer

No. of defective pens = 12

No. of good pens = 132

Total no. of pens = 12 + 132 = 144.

Let E1 be the event of getting a good pen, then number of favourable outcomes to E1 = 132

P(E1)=No. of favourable outcomes to E1Total no. of possible outcomes=132144=1112.P(E1) = \dfrac{\text{No. of favourable outcomes to } E1}{\text{Total no. of possible outcomes}} = \dfrac{132}{144} = \dfrac{11}{12}.

Hence, the probability of taking out a good pen is 1112\dfrac{11}{12}.

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