Year 11 - Maths
Probabilities in 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 use a three event Venn diagram to calculate probabilities (including conditional).
Key Notes
- A three event Venn diagram can be used to calculate probabilities
- Three event Venn diagrams can be used to calculate the probability of a subset of events occurring
- A three event Venn diagram can be used to calculate conditional probabilities
- Three event Venn diagrams can be used to calculate conditional probabilities involving sets of events
Vocabulary To Learn
- Venn diagrams: Venn diagrams are a representation used to model statistical/probability questions. Commonly circles are used to represent events.
- Mutually exclusive: Mutually exclusive events have no outcomes in common.
- Conditional probability: Conditional probability is the probability of an outcome occurring given that another event has occurred.
Common Mistakes To Avoid
- Pupils may give the probability as a fraction with the wrong denominator.
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 can be used to calculate probabilities. Three event Venn diagrams can be used to calculate the probability of a subset of events occurring.
2. Use this key word in a maths sentence and explain it clearly. 'Venn diagrams'
Venn diagrams are a representation used to model statistical/probability questions. Commonly circles are used to represent events. 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 give the probability as a fraction with the wrong denominator. Correction: Check that pupils understand the difference between the probability of event A given B, P(A|B), and the probability of event A and B occurring.
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 involving algebra Study Guide
- Problem solving with conditional probability Study Guide
- Set notation Study Guide
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