Q.


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 she will not buy it?

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a

5 36  

b

1 9  

c

1 6  

d

7 36    

answer is A.

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Detailed Solution

It is given a lot consists of 144 ball pens of which 20 are defective and the others are good.
The probability of an event E is given as-
P(E)= Number of outcomes favourable to E Number of all possible outcomes of the experiment  
Given, total number of pens =144  
Number of defective pens =20  
Number of good pens =14420   =124  
Since, Nuri will not buy a pen if it is defective.
Therefore, the probability that Nuri not buys a pen is-
P(defective pens)= 20 144 = 5 36  
Hence, 5 36   is the probability that Nuri not buys a pen.
Hence option (1) is correct.
   
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