MA35-03 Maths Coming soon
Constructing sample space diagrams
MA35-03
This lesson is coming soon.
In this lesson
Construct a grid/two-way table sample space diagram for two combined equally-likely-outcome experiments and use it to read off theoretical probabilities.
What it covers
- Constructing a grid/two-way table possibility space for two combined equally-likely experiments (e.g. two dice, a coin and a dice, two spinners)
- Reading theoretical probabilities directly off a completed sample space diagram
- Choosing the diagram over abstract reasoning as the reliable method for unstructured combined-event problems
Key words
For: AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, Edexcel IGCSE 4MA1, OCR GCSE J560
On the specification
| Board | Spec | Statement |
|---|---|---|
| AQA GCSE 8300 | P7 | Construct theoretical possibility spaces for single and combined experiments with equally likely outcomes and use these to calculate theoretical probabilities |
| Edexcel GCSE 1MA1 | P7 | Construct theoretical possibility spaces for single and combined experiments with equally likely outcomes and use these to calculate theoretical probabilities |
| Eduqas GCSE C300 | FP7 | Construct theoretical possibility spaces for single and combined experiments with equally likely outcomes and use these to calculate theoretical probabilities |
| Eduqas GCSE C300 | HP7 | Construct theoretical possibility spaces for single and combined experiments with equally likely outcomes and use these to calculate theoretical probabilities |
| Edexcel IGCSE 4MA1 | F6.3E | Understand the concepts of a sample space and an event, and how the probability of an event happening can be determined from the sample space |
| Edexcel IGCSE 4MA1 | F6.3F | List all the outcomes for single events and for two successive events in a systematic way |
| OCR GCSE J560 | 11.02a | Use tables and grids to list the outcomes of single events and simple combinations of events, and to calculate theoretical probabilities. |
| OCR GCSE J560 | 11.01d | Calculate probabilities, expressed as fractions or decimals, in simple experiments with equally likely outcomes, for example flipping coins, rolling dice, etc. Apply ideas of randomness and fairness in simple experiments. Calculate probabilities of simple combined events, for example rolling two dice and looking at the totals. Use probabilities to calculate the number of expected outcomes in repeated experiments. |
For teachers
This GCSE Maths lesson teaches constructing sample space diagrams. By the end, students should be able to construct a grid/two-way table sample space diagram for two combined equally-likely-outcome experiments and use it to read off theoretical probabilities. It works through two worked examples and the mistakes examiners report.