Question

A city issues 3-digit license plates for motorized scooters. The digits 0-9 are chosen at random by a computer program. What is the probability that a license plate issued meets each set of criteria

Answer 1

Answer:

80/111

Step-by-step explanation:

For starters, since it is 3 digits inclusive of 0, from 0 - 9, then there are 1000 possible total plate combination from 000 - 999.

If no number is expected to be repeated in the combination, then there exists 10 numbers(say 0-9) for the first digit, 9 numbers(say 1-9) for the second digit and 8 numbers(1-8) for the third digit.

This means that there will be 10 * 9 * 8 total possible outcomes. Considering that the possible combinations is 999, then the probability is

10 * 9 * 8 = 720/999

And that is simplified to 80/111