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2008 AMC 8 Question 24

AMC8 · 2008 AMC 8

Question 24

Ten tiles numbered $1$ through $10$ are turned face down. One tile is turned up at random, and a die is rolled. What is the probability that the product of the numbers on the tile and the die will be a square?
  1. $ \ \dfrac{1}{10} $
  2. $ \ \dfrac{1}{6} $
  3. $ \ \dfrac{11}{60} $
  4. $ \ \dfrac{1}{5} $
  5. $ \ \dfrac{7}{30} $