What is the probability that a randomly chosen two digit positive integer is a multiple of 3?

$\begingroup$

Two different positive integers less than $100$ are randomly chosen and multiplied together. What is the probability that the resulting product is a multiple of $3$?

Sorry about that. I used a different approach and got the answer. The answer is down Below.

Tardigrade - CET NEET JEE Exam App

© 2022 Tardigrade®. All rights reserved

2-digit positive integers are 10, 11, 12, ..., 99.

Thus, there are 90 such numbers.

Since out of these, 30 numbers are multiple of 3

Therefore, the probability that a randomly chosen positive 2-digit integer is a multiple of 3 is `30/90 = 1/3`.