Question

If the license plates in a Karachi consist of three letters followed by three numbers, what is the probability that a randomly generated plate ends in the numbers “786”? Consider that repetitions are allowed and order matters.

Answer 1

If three letters are followed by three numbers, then the total number of possible letters combination with the numbers "786" is:

$26×26×26 = 17576.$

The total possible number of license plate combinations is:

$26×26×26×10×10×10 = 17576000.$

Then the probability that a randomly generated plate ends in the numbers “786” is: $P = 17576/17576000 = 0.001$ or 0.1%.