Students learn how to create a sample space diagram to find the probability of two or more events. As learning progresses students are challenged to find the events when given a partially completed sample space diagram.

At the start of the lesson students recap listing the permutions of the different ways to make 8p using 5p, 2p and 1p coins. The plenary challenges to students to work sample space diagrams in reverse.

**Differentiated Learning Objectives**

- All students should be able to complete a sample space diagram given two sets of outcomes.
- Most students should be able to calculate a theoretical probability using a sample space diagram.
- Some students should be able to determine a set of events given a sample space diagram.

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