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2012 AMC 10A Question 9

AMC10 · 2012 AMC 10A

Question 9

A pair of six-sided fair dice are labeled so that one die has only even numbers (two each of $2,$ $4,$ and $6$), and the other die has only odd numbers (two each of $1,$ $3,$ and $5$). The pair of dice is rolled. What is the probability that the sum of the numbers on the tops of the two dice is $7?$
  1. $\dfrac{1}{6}$
  2. $\dfrac{1}{5}$
  3. $\dfrac{1}{4}$
  4. $\dfrac{1}{3}$
  5. $\dfrac{1}{2}$