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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?

 Jan 13, 2020
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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?"

 

Prob that first integer is divisible by 3 = 1/3; Prob that first integer is not divisible by 3 followed by 2nd integer that is divisible by 3 = (2/3)*(1/3)

 

Hence total prob = 1/3 + (2/3)*(1/3)  = 5/9  = 0.55555....

 Jan 13, 2020
edited by Alan  Jan 13, 2020

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