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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.
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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`.