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Year 9 - Maths

Comparing representations of outcomes for more than two events

Probability: possible outcomes

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.
  • Tree diagram: Tree diagrams are a representation used to model statistical/probability questions. Branches represent different possible events or outcomes.
  • Outcome tree: Each branch of an outcome tree shows a possible outcome from an event or from a stage of a trial. The full outcome tree shows all possible outcomes.
  • Venn diagram: Venn diagrams are a representation used to model statistical/probability questions. Commonly circles are used to represent events.

Common Mistakes To Avoid

  • I can use outcome tables to categorise outcomes into as many events as I want.

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: I can use outcome tables to categorise outcomes into as many events as I want. Correction: Outcome tables are limited to categorising outcomes into only two events. You can use more tables to categorise outcomes into three or more events, but the number of tables you need quickly becomes massive!

More Lessons In This Unit

Browse all guides in the Year 9 Maths guide library.