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counting and probability intermediate

Problem

Two fair, 6-sided dice are thrown. What is the probability that the product of the two numbers is a multiple of 5? Express your answer as a common fraction.
Solution
Probability questions are sometimes answered by calculating the ways the event will NOT happen, then subtracting. In this problem the , , , and faces are paired to create number pairs whose product is NOT multiples of 5. This leaves ways to get a multiple of , so the probability is .
Final answer
\frac{11}{36}