Twelve fair dice are rolled. What is the probability that the product of the numbers on the top faces is prime?
Answer Choices
A. \left(\dfrac{1}{12}\right)^{12}
B. \left(\dfrac{1}{6}\right)^{12}
C. 2\left(\dfrac{1}{6}\right)^{11}
D. \dfrac{5}{2}\left(\dfrac{1}{6}\right)^{11}
E. \left(\dfrac{1}{6}\right)^{10}