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?
+33614 "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....
