Tree Diagrams for Multi-Step Experiments
Using tree diagrams to list sample spaces and calculate probabilities for events with and without replacement.
Key Questions
- Explain how the sample space changes when an item is not replaced after the first draw.
- Justify why we multiply probabilities along the branches of a tree diagram.
- Construct a tree diagram for a multi-step experiment involving different outcomes at each stage.
ACARA Content Descriptions
Suggested Methodologies
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Planning templates for Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
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