We are choosing a new school mascot and we want to represent the sample space of all possible mascots 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.
Type — lion, bear, hawk, or dragon
Style — realistic, cartoon
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 animal with each style.
There are 8 different outcomes in the sample space, so there are 8 different mascots possible.
