Sample Space Diagrams
Systematically list all possible outcomes for single and simple combined events. Use tables and diagrams to organise these sample spaces.
About This Topic
Systematically list all possible outcomes for single and simple combined events. Use tables and diagrams to organise these sample spaces.
Key Questions
- How can we ensure we have listed every possible outcome for an event?
- Why is a sample space diagram useful when rolling two dice?
- How do sample spaces help us calculate theoretical probabilities more accurately?
Active Learning Ideas
See all activities→Activities & Teaching Strategies
See all activities
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.
Unit PlannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
RubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
More in Probability
The Language of Probability
Explore the vocabulary used to describe the likelihood of events occurring. Discuss what makes an event certain, impossible, or equally likely.
2 methodologies
The Probability Scale
Map the likelihood of events onto a numerical scale from 0 to 1. Represent probabilities using fractions, decimals, and percentages.
2 methodologies
Calculating Theoretical Probability
Calculate the exact probability of a single event happening when all outcomes are equally likely. Express these probabilities mathematically.
2 methodologies
Experimental Probability and Relative Frequency
Conduct experiments to find the relative frequency of an event. Compare these experimental results with theoretical probabilities.
2 methodologies
Mutually Exclusive Events
Understand that mutually exclusive events cannot happen at the same time. Learn that the sum of probabilities for all mutually exclusive outcomes is exactly 1.
2 methodologies