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Q.

An integer is chosen between 0 and 100. What is the probability that it is divisible by 7?


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a

7 99  

b

14 99  

c

15 99  

d

13 99   

answer is B.

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Detailed Solution

Given, an integer is chosen between 0 and 100.
P(E)=  Number of favourable outcomes   Number of possible outcomes   
Number of integers between 0 and 100=99   Number of possible outcomes =99   Let E be the event of getting an integer divisible by 7.
Outcomes favourable to E   are 7,14,21,28,35,42,49,56,63,70,77,84,91,98
Number of favourable outcomes = 14.
P(E)=  Number of favourable outcomes   Number of possible outcomes    P(E) = 1499
The probability of getting an integer divisible by 7   is 1499.
Hence, the correct option is 2.
 
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