We are designing our own birthday party and we want to represent the sample space of all possible parties by making a tree diagram. The sample space of an experiment is the set of all possible outcomes. In this case, the sample space is the result of two options.
Keep in mind that there are several ways to make a tree diagram. The part that matters most is that the sample space ends up with all of the possible combinations. Let's draw a tree diagram to represent the situation by pairing each type of activity with each proposed time.
There are 6 different outcomes in the sample space, so there are 6 different birthday parties we can throw.
