Year 9 - Maths
Comparing representations of 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 identify the same outcome across all the different representations.
Key Notes
- Fluency in moving between the representations is important.
- Sometimes it is better to display the outcomes using a particular representation.
Vocabulary To Learn
- Outcome table: An outcome table is a table that shows all the possible outcomes.
- Venn diagram: Venn diagrams are a representation used to diagram statistical/probability questions. Commonly circles are used to represent events.
Common Mistakes To Avoid
- An outcome tree doesn't have a sample space.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Fluency in moving between the representations is important. Sometimes it is better to display the outcomes using a particular representation.
2. Use this key word in a maths sentence and explain it clearly. 'Outcome table'
An outcome table is a table that shows all the possible outcomes. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: An outcome tree doesn't have a sample space. Correction: Each representation of the outcomes of a trial have a sample space as a part of it. For an outcome table, the table itself is the sample space. For an outcome tree, a sample space must always be constructed after drawing the two layers of branches.
More Lessons In This Unit
- Comparing representations of outcomes for more than 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 a Venn diagram to display outcomes for 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
Browse all guides in the Year 9 Maths guide library.