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Question

# One is asked to select a two -digit number. What is the probability of getting the first digit greater than the second digit ?

A

13

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B

12

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C

15

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D

16

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Solution

## The correct option is B 12 The combination of numbers where the first digit is greater than the second digit are 10 ----------------------1 20 , 21 ---------2 30,31,32 ------------3 40 , 41, 42, 43---------------4 50 , 51, 52, 53, 54----------------5 60,61,62,63,64, 65----------- 6 70,71,72,73,74,75,76--------------7 80,81,82,83,84,85,86,87----------------8 90.91,92,93,94,95,96,97,98 -------------9 ______________________________________________ Total Numbers = 45 Hence the total numbers where the first digit is greater than the second digit = 45 Total number of 2 digit number = 90 Hence the probability = 4590 =12

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