Year 11 - Maths
Probabilities involving algebra
Conditional probability
Study Hub
Study Guides
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 work with algebraic statements using the fact that exhaustive events sum to 1.
Key Notes
- Equations can be constructed when there is a known relationship between the probabilities of exhaustive events
- Equations can be manipulated and solved to find missing probabilities
- Algebraic statements can be created regardless of the way the probabilities are displayed
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.
Common Mistakes To Avoid
- Pupils may be unsure whether a variable represents a probability, frequency or a particular outcome.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Equations can be constructed when there is a known relationship between the probabilities of exhaustive events. Equations can be manipulated and solved to find missing probabilities.
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 be unsure whether a variable represents a probability, frequency or a particular outcome. Correction: Variables can be used to represent either of these pieces of information. It can be helpful to start a problem by writing down what any variables represent (e.g. "Let x = the total number of marbles).
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
- Problem solving with conditional probability Study Guide
- Set notation Study Guide
Browse all guides in the Year 11 Maths guide library.