We are designing fidget toys and we want to represent the sample space of all possible toys 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 — cube, necklace, spinner
Frame — metal, plastic, rubber
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 toy with each possible frame.
There are 9 different outcomes in the sample space, so there are 9 different fidget toys possible.
