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Q.

On one page of a telephone directory, there were 200 telephone numbers. The frequency distribution of their unit's place digit (e.g., in the number 25828573, the unit's place digit is 3) is given in the following table.


Question Image

Without looking at the page, the pencil is placed on one of these numbers, i.e., the number is chosen at random. What is the probability that the digit in its unit's place is 7?


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a

0.28

b

0.14

c

14

d

28 

answer is B.

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Detailed Solution

It is given that, there were 200 telephone numbers.
Question ImageWe have to find the probability that the digit in its unit's place is 7.
The total number of outcomes is 200.
 Number of times digit 7 occurs in unit place = 28.
For an event A, P(A)= NumberofPossibleOutcomes TotalNumberofOutcomes  
The probability that the digit 7 is in unit place is given by,
= 28 200 =0.14  
The probability that the digit in its unit's place is 7 is 0.14.
Hence, option 2 is correct.
 
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