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Two different 2-digit numbers are randomly chosen and multiplied together. What is the probability that the resulting product is a multiple of 3?

 Dec 27, 2021
 #1
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The probability is 5/24.

 Dec 27, 2021
 #2
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The only way the resulting product is a multiple of 3 is if 1 (or both) of the number(s) are multiples of threes. Continue with casework. 

 Dec 27, 2021

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