What is the probability that the letter on the first die comes alphabetically before the letter on the second die?

We are considering two special 6 -sided dice. Each face is labeled with a number and a letter: the first die has faces \(1 A, 1 B, 2 A, 2 C, 4 A, 4 E\); the second has faces \(1 A, 1 A, 2 A, 2 B, 3 A, 3 C\). Assume that each face has an equal probability of landing face up.