AMC 12B 2002 Problem 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 ?

Answer Choices
A. \dfrac{1}{12}
B. \dfrac{1}{3}
C. \dfrac{1}{2}
D. \dfrac{7}{12}
E. \dfrac{2}{3}