12 defective pens are accidentally mixed with 132 good ones. It is not

1.	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.
Answer» Number of good pens = 132 Number of defective pens = 12 Total number of pens = 132 + 12 = 144 ∴ Total number of outcomes in taking a pen at random = 144. No. of favourable outcomes in taking a good pen = 132. ∴ Probability of taking a good pen = \(\frac{No.\,of\,favourable\,outcomes}{Total\,no.\,of\,outcomes}\) = \(\frac{132}{144}=\frac{11}{12}\)

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.

Answer»

Number of good pens = 132

Number of defective pens = 12

Total number of pens = 132 + 12 = 144

∴ Total number of outcomes in taking a pen at random = 144.

No. of favourable outcomes in taking a good pen = 132.

∴ Probability of taking a good pen

= \(\frac{No.\,of\,favourable\,outcomes}{Total\,no.\,of\,outcomes}\)

= \(\frac{132}{144}=\frac{11}{12}\)

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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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