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12 Defective Pens Are Accidently Mixed with 132 Good Ones. It is Not Possible to Just Look at Pen and Tell Whether Or Not It is Defective. One Pen is Taken Out at Random from this Lot. Find - Mathematics

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Question

12 defective pens are accidently mixed with 132 good ones. It is not possible to just look at pen and tell whether or not it is defective. One pen is taken out at random from this lot. Find the probability that the pen taken out is good one.

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Sum
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Solution

Total number of pens = 132 + 12 = 144

Number of good pens = 132

Let E be the event of getting a good pen.


∴ P(getting a good pen) = P(E) = `"Number of outcome favourable to E"/"Number of all possible outcomes"`

`=132/144 = 11/12`

Thus, the probability of getting a good pen is `11/12`.

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Chapter 15: Probability - Exercise 15A [Page 688]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 15 Probability
Exercise 15A | Q 26 | Page 688
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