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2002 AMC 12B Question 16

AMC12 · 2002 AMC 12B

Question 16

Juan rolls a fair regular octahedral die marked with the numbers $1$ through $8.$ Then Amal rolls a fair six-sided die. What is the probability that the product of the two rolls is a multiple of $3?$
  1. $\dfrac{1}{12}$
  2. $\dfrac{1}{3}$
  3. $\dfrac{1}{2}$
  4. $\dfrac{7}{12}$
  5. $\dfrac{2}{3}$