AMC 12B 2006 Problem 17

For a particular peculiar pair of dice, the probabilities of rolling 1,2,3,4,5, and 6 on each die are in the ratio 1: 2: 3: 4: 5: 6. What is the probability of rolling a total of 7 on the two dice?

Answer Choices
A. \dfrac{4}{63}
B. \dfrac{1}{8}
C. \dfrac{8}{63}
D. \dfrac{1}{6}
E. \dfrac{2}{7}