Year 9 - Maths
Checking listing possible outcomes
Probability: theoretical probabilities
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit we build upon the concept of likelihood to work more mathematically with more measurable probability using fraction and decimal representations to both interpret and calculate. We revisit and develop ways to represent and compare probabilities.
Lesson Summary
You will learn to systematically list all the possible outcomes for one or more events.
Key Notes
- The possible outcomes for one event can be stated.
- The possible outcomes for two events can be stated.
- The possible outcomes for three events can be stated.
Vocabulary To Learn
- Trial: A trial is a single predefined test.
- Outcome: An outcome is a result of a trial.
- Systematic: When listing outcomes systematically, they are listed in such a way as to ensure all outcomes are recorded.
Common Mistakes To Avoid
- Pupils may list the possible outcomes in an unsystematic way, potentially causing them to miss or repeat outcomes.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The possible outcomes for one event can be stated. The possible outcomes for two events can be stated.
2. Use this key word in a maths sentence and explain it clearly. 'Trial'
A trial is a single predefined test. 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 list the possible outcomes in an unsystematic way, potentially causing them to miss or repeat outcomes. Correction: Demonstrate how our system of counting is a systematic method for listing numbers and compare it to some of the listing strategies used in the lesson.
More Lessons In This Unit
- Calculating theoretical probabilities from a table (one event) Study Guide
- Calculating theoretical probabilities from lists (one event) Study Guide
- Calculating theoretical probabilities from probability tree diagrams (one event) Study Guide
- Calculating theoretical probabilities from probability trees (two events) Study Guide
- Calculating theoretical probabilities from two-way tables (two events) Study Guide
- Calculating theoretical probabilities from Venn diagrams (one event) Study Guide
- Calculating theoretical probabilities from Venn diagrams (two events) Study Guide
- Comparing multiple representations to calculate theoretical probabilities Study Guide
- Comparing multiple representations to calculate theoretical probabilities for combined events Study Guide
- Problem solving with theoretical probability Study Guide
- Summing probabilities Study Guide
- The probability scale Study Guide
Browse all guides in the Year 9 Maths guide library.