2016 AMC 8 Problems/Problem 13
Two different numbers are randomly selected from the set and multiplied together. What is the probability that the product is ?
Solution
The product can only be if one of the numbers is 0. Once we chose , there are ways we can chose the second number, or . There are ways we can chose numbers randomly, and that is . So, so the answer is
2016 AMC 8 (Problems • Answer Key • Resources) | ||
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Solution 2
There are a total of possibilities. We want so one of the multiples is . There are possibilities where is chosen for the first number and there are ways for to be chosen as the second number. We seek