Year 11 - Maths
Constructing three event Venn diagrams
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 construct a three event Venn diagram.
Key Notes
- A three event Venn diagram is easier to complete if information from intersecting events is completed first
- Venn diagrams may show probabilities, frequencies or outcomes
- A three event Venn diagram may have some (or all) events being mutually exclusive
- A three event Venn diagram may have events which are subsets of other events
Vocabulary To Learn
- Outcome: An outcome is a result of a trial (e.g. getting heads when flipping a coin once or getting two heads when flipping a coin twice).
- Sample space: A sample space is all the possible outcomes of a trial. A sample space diagram is a systematic way of producing a sample space.
- Event: An event is a subset of a sample space. i.e. An outcome or set of outcomes that may occur from a trial (e.g. flipping a coin twice and getting the same result each time).
- Mutually exclusive: Two or more events are mutually exclusive if they share no common outcome.
- Venn diagram: Venn diagrams are a representation used to model statistical/probability questions. Commonly circles are used to represent events.
Common Mistakes To Avoid
- There is often a lot of information to process, in order to complete a three event Venn diagram accurately. Pupils may confuse which region to complete.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
A three event Venn diagram is easier to complete if information from intersecting events is completed first. Venn diagrams may show probabilities, frequencies or outcomes.
2. Use this key word in a maths sentence and explain it clearly. 'Outcome'
An outcome is a result of a trial (e.g. getting heads when flipping a coin once or getting two heads when flipping a coin twice). Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: There is often a lot of information to process, in order to complete a three event Venn diagram accurately. Pupils may confuse which region to complete. Correction: A three event Venn diagram is easier to complete if information from intersecting events is completed first.
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
- 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
- Set notation Study Guide
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