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2006 AMC 12B Question 17

AMC12 · 2006 AMC 12B

Question 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?
  1. $\dfrac{4}{63}$
  2. $\dfrac{1}{8}$
  3. $\dfrac{8}{63}$
  4. $\dfrac{1}{6}$
  5. $\dfrac{2}{7}$