2016 AMC 10B Problem 12
Problem 12 of 25IntermediateNumber TheoryCounting & Probability
Two different numbers are selected at random from and multiplied together. What is the probability that the product is even?
Answer choices
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Solution
The product is odd if and only if both numbers are odd. There are ways to do this out of a possible ways. This makes the probability of it being odd equal to This means the probability it is even is
Thus, the correct answer is D .