Year 11 - Maths
Checking and securing calculating probabilities from tables
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 calculate probabilities from tables and two-way tables.
Key Notes
- The probability of an outcome can be found by considering a table
- The probability of an event can be found by considering a table showing all possible outcomes
- The probability of an outcome can be found by considering a two-way table showing all possible outcomes for two events
- The probability of an event can be found by considering a two-way table showing all possible outcomes for two events
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.
- Frequency: The frequency is the number of times an event occurs; or the number of individuals (people, animals etc.) with some specific property.
Common Mistakes To Avoid
- Pupils may get confused between two-way tables that show outcomes and two-way tables that show frequencies (particularly when the outcomes are numbers, such as the sum of two dice rolls).
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The probability of an outcome can be found by considering a table. The probability of an event can be found by considering a table showing all possible outcomes.
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 get confused between two-way tables that show outcomes and two-way tables that show frequencies (particularly when the outcomes are numbers, such as the sum of two dice rolls). Correction: Two-way tables can be either used to display the sample space of individual outcomes or the frequencies of outcomes. Therefore, when using a table, it can be helpful to note down what type of data the table shows.
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 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
- Set notation Study Guide
Browse all guides in the Year 11 Maths guide library.