Year 11 - Maths
Set notation
Conditional probability
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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, pupils use their knowledge of calculating theoretical probabilities and extend it to calculate conditional probabilities.
Lesson Summary
You will learn to use formal language for set notation and see how it relates to various representations.
Key Notes
- Set notation is a shorter way of writing probability statements
- The notation relates to certain aspects of a probability tree
- The notation relates to certain aspects of a two-way table
- The notation relates to certain aspects of a Venn diagram
- The notation relates to certain aspects of a frequency tree
Vocabulary To Learn
- Probability: The probability that an event will occur is the proportion of times the event is expected to happen in a suitably large experiment.
- Venn diagram: Venn diagrams are a representation used to model statistical/probability questions. Commonly circles are used to represent events.
- Tree diagram: Tree diagrams are a representation used to model statistical/probability questions. Branches represent different possible events or outcomes.
Common Mistakes To Avoid
- Pupils may think that A ∪ B means 'to be either from A or B (but not both)'.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Set notation is a shorter way of writing probability statements. The notation relates to certain aspects of a probability tree.
2. Use this key word in a maths sentence and explain it clearly. 'Probability'
The probability that an event will occur is the proportion of times the event is expected to happen in a suitably large experiment. 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 think that A ∪ B means 'to be either from A or B (but not both)'. Correction: A ∪ B represents all members that satisfy at least one of the events A or B. So it could be from A, from B or from both A and B.
More Lessons In This Unit
- Advanced problem solving with conditional probability Study Guide
- Algebra in tree and Venn diagrams Study Guide
- Checking and securing calculating probabilities from diagrams Study Guide
- Checking and securing calculating probabilities from tables Study Guide
- Checking and securing displaying outcomes Study Guide
- Checking and securing exhaustive events Study Guide
- Combinations Study Guide
- Comparing multiple representations to calculate conditional probabilities Study Guide
- Conditional probability in a tree diagram Study Guide
- Conditional probability in a two-way table Study Guide
- Conditional probability in a Venn diagram Study Guide
- Constructing three event Venn diagrams Study Guide
- Experimental probability Study Guide
- Experimental vs theoretical probability Study Guide
- Frequency trees Study Guide
- Probabilities in three event Venn diagrams Study Guide
- Probabilities involving algebra Study Guide
- Problem solving with conditional probability Study Guide
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