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 a fruit from one basket and then from another.
First Basket — Red apple (R) or yellow apple (Y) or green apple (G)
Second Basket — Orange (O) or lemon (L) or peach (P)
The three possible outcomes for the color of the apple are red (R), yellow (Y), or green (G). There are also three possible outcomes for the fruit in the second basket, orange (O), lemon (L), or peach (P). We will pair each possible outcome from the first stage with the possible outcomes from the second stage.
{(R,O), (R,L), (R,P), (Y,O), (Y,L), (Y,P), (G,O), (G,L), (G,P)}
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.
