We are given a multi-stage experiment and want to draw a tree diagram to represent the sample space for this situation. The sample space of an experiment is the set of all possible outcomes. In this case, the sample space is the result of four stages.
Tie Color — umber (U), sage (S), rust (R), periwinkle (P)
Suit Color — ivory (I), black (B)
Vest — vest (V), no vest (NV)
Cummerbund — cummerbund (C), no cummerbund (NC)
Let's draw a tree diagram showing the four stages. Keep in mind that there are several ways to draw this tree diagram. The part that matters most is that the sample space ends up with all of the possible combinations.
