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2021 AMC 10C Question 9

AMC10 · 2021 AMC 10C

Question 9

When a certain unfair die is rolled, an even number is $3$ times as likely to appear as an odd number. The die is rolled twice. What is the probability that the sum of the numbers rolled is even?
  1. $\dfrac{3}{8}$
  2. $\dfrac{4}{9}$
  3. $\dfrac{5}{9}$
  4. $\dfrac{9}{16}$
  5. $\dfrac{5}{8}$