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Question

A lot consists of 144 ball pens of which 20 are defective and the others are good. Nuri will buy a pen if it is good, but will not buy if it is defective. The shopkeeper draws one pen at random and gives it to her. What is the probability that

(i) She will buy it?

(ii) She will not buy it?


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Solution

The total numbers of outcomes i.e. pens =144

Given, numbers of defective pens =20

The numbers of non defective pens =144-20=124

P(E)=NumberoffavourableoutcomesTotalnumberofoutcomes

Step 1: Find the probability that she will buy the pens.

Total numbers events in which she will buy them =124

So,

P(buying)=124144=3136=0.86

Hence, the probability that she will buy the pens is 0.86.

Step 2: Find the probability that she will not buy the pens.

Total numbers of events in which she will not buy them =20

So,

P(buying)=20144=536=0.138

Hence, the probability that she will not buy the pens is 0.138.


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