We are given an experiment and want to represent the sample space by making an organized list. The sample space of an experiment is the set of all possible outcomes. In this case, the sample space is the result of two stages, picking exterior color and interior color.
Exterior Color — A or B or C or D
Interior Color — 1 or 2 or 3
The four possible outcomes for the exterior color are A or B or C or D. There are also three possible outcomes for the interior color, an 1 or 2 or 3. We will pair each possible outcome from the exterior color with the possible outcomes from the interior color.
{(A,1), (A,2), (A,3), (B,1), (B,2), (B,3), (C,1), (C,2), (C,3), (D,1), (D,2), (D,3)}
Keep in mind that there are several ways to make a list. The part that matters most is that the sample space ends up with all of the possible combinations.
