MathNet 2021 — Part 01 Question 7

Question 7

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?

$\frac{3}{8}$
$\frac{4}{9}$
$\frac{5}{9}$
$\frac{9}{16}$
$\frac{5}{8}$