I forgot the last digit of a 7-digit telephone number. If 1 randomly dial the final 3 digits after correctly dialing the first four, then what is the chance of dialing the correct number?

A 1/999

B 1/1001

C 1/1000

D 4/1000

Solution

Correct Answer: Option C

It is given that last three digits are randomly dialled. then each of the digit can be selected out of 10 digits in 10 ways.
Hence required probability = \(\left(\frac1{10}\right)^3\) = 1/1000

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