Year 9 - Maths
Using a Venn diagram to display outcomes for two events
Probability: possible outcomes
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
This unit introduces and explores the concept of liklihood as a relative measure, and demonstrates multiple ways to represent likelihood such as Venn diagrams, tree diagrams and two-way tables.
Lesson Summary
You will learn to systematically find all the possible outcomes for two events by using a Venn diagram.
Key Notes
- Possible outcomes for two events can be shown in a Venn diagram.
- The Venn diagram can be used to generate any of the other models.
- Any of the other outcome diagrams can be used to generate a Venn diagram.
Vocabulary To Learn
- Venn diagram: Venn diagrams are a representation used to model statistical/probability questions. Commonly circles are used to represent events.
Common Mistakes To Avoid
- Pupils may not draw the rectangle in their Venn diagrams.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Possible outcomes for two events can be shown in a Venn diagram. The Venn diagram can be used to generate any of the other models.
2. Use this key word in a maths sentence and explain it clearly. 'Venn diagram'
Venn diagrams are a representation used to model statistical/probability questions. Commonly circles are used to represent events. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils may not draw the rectangle in their Venn diagrams. Correction: Refer back to the rectangle hosting all possible outcomes; the sample space and therefore a vital part of a Venn diagram.
More Lessons In This Unit
- Comparing representations of outcomes for more than two events Study Guide
- Comparing representations of outcomes for two events Study Guide
- Equally likely outcomes Study Guide
- Experiments to determine how likely an outcome is Study Guide
- Non-equally likely outcomes Study Guide
- Problem solving with possible outcomes Study Guide
- The scale of likelihoods Study Guide
- Using a Venn diagram to display outcomes for more than two events Study Guide
- Using an outcome tree to display outcomes for more than two events Study Guide
- Using an outcome tree to display outcomes for two events Study Guide
- Using lists to display outcomes for more than two events Study Guide
- Using lists to display outcomes for two events Study Guide
- Using two-way tables to display outcomes for two events Study Guide
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