Use a table to identify the sample space of the experiment in which we roll both dice and note the sum of the two numbers that are showing.

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.