Lesson objective: Use a tree diagram to represent the list of possible outcomes and multiply the number of options to find the total number of outcomes.

This lesson helps to build fluency with multiplying the number of options to find the total number of outcomes. A tree diagram is used here because it highlights the probability for each event and shows the total number of outcomes. This work develops students' understanding that the possible outcomes for compound events is countable and "listable".

Students engage in Mathematical Practice 5 (use appropriate tools strategically) as they create tree diagrams and use the counting principle to find the total number of possible outcomes.

**Key vocabulary:**

- compound event
- counting principle
- sample space
- tree diagram

**Special materials needed:**