AMO 2027 Grades 8-9 SET 10 - Self-study Question 8

In a pair of fair Wacky Dice, the red die has 1, 1, 1, 2, 3, and 3 on its six faces, while the green die has 2, 3, 3, 3, 5, and 5 on its six faces. If a pair of fair Wacky Dice is rolled, what is the probability the sum is odd?