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2005 AMC 10B Question 12

AMC10 · 2005 AMC 10B

Question 12

Twelve fair dice are rolled. What is the probability that the product of the numbers on the top faces is prime?
  1. $\left(\dfrac{1}{12}\right)^{12}$
  2. $\left(\dfrac{1}{6}\right)^{12}$
  3. $2\left(\dfrac{1}{6}\right)^{11}$
  4. $\dfrac52\left(\dfrac{1}{6}\right)^{11}$
  5. $\left(\dfrac{1}{6}\right)^{10}$