Lesson objective: Use multiplication to find the probabilities of compound events for independent and dependent events.

This lesson helps to build fluency using multiplication to find the probabilities of compound events. A tree diagram is used here because it highlights the differences in the total number of possible outcomes for independent and dependent events. This work develops students' understanding that the ratio of the number of favorable outcomes to total number of possible outcomes is different for independent and dependent events.

Students engage in Mathematical Practice 5 (using appropriate tools strategically) as they use tree diagrams to find the probability of compound events.

**Key vocabulary:**

- dependent events
- independent events

**Special materials needed:**