What this topic covers
Probability has 3 subtopics:
- Probability Foundations
- Sample Spaces and Systematic Enumeration
- Combined Events and Tree Diagrams
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GCSE AQA Foundation Maths · Topic 5 of 6
Probability – GCSE AQA Foundation Maths revision notes
Choose a subtopic. Probability covers Probability Foundations, Sample Spaces and Systematic Enumeration, and Combined Events and Tree Diagrams in GCSE AQA Foundation Maths. 10 lessons in 3 subtopics.
Revise Probability for GCSE AQA Foundation Maths, including Probability Foundations and Sample Spaces and Systematic Enumeration.
10
Lessons
3
Subtopics
Probability lessons by subtopic
10 lessons, grouped by subtopic.
Probability Foundations
- Recording and Analysing Probability Experiments
- Expected Outcomes in Probability Experiments
- Relative Frequency and Theoretical Probability
- Exhaustive Sets and Mutually Exclusive Events
- Experimental Probability, Relative Frequency and Sample Size
- Probability Scale, Equally Likely Outcomes and Expected Frequency
Sample Spaces and Systematic Enumeration
- Systematic Enumeration Using Tables, Grids and Venn Diagrams
- Constructing Possibility Spaces and Calculating Theoretical Probabilities
Combined Events and Tree Diagrams
More in this course
Go back to the full GCSE AQA Foundation Maths topic list, or practise this topic with past-paper questions.
Frequently asked questions
What is Probability?
Probability covers Probability Foundations, Sample Spaces and Systematic Enumeration, and Combined Events and Tree Diagrams in GCSE AQA Foundation Maths. 10 lessons in 3 subtopics.
What is a sample space diagram?
A sample space diagram is a two-way grid listing every outcome of two combined events, with one event across the top and the other down the side. The Systematic Enumeration Using Tables, Grids and Venn Diagrams notes cover this in full.
What is the law of large numbers?
At GCSE level, the law of large numbers means that as the number of trials increases, the relative frequency gets closer to the theoretical probability. The Experimental Probability, Relative Frequency and Sample Size notes cover this in full.
What is the probability scale?
Every probability is between 0 and 1: 0 means impossible, 1 means certain and 0.5 means an even chance. The Relative Frequency and Theoretical Probability notes cover this in full.
How do you calculate relative frequency?
Divide the number of times an outcome occurs by the total number of trials. The Recording and Analysing Probability Experiments notes cover this in full.
What is the complement of a set?
The complement A′ is everything in the universal set ξ that is not in A, shown on a Venn diagram as everything outside circle A. The Systematic Enumeration Using Tables, Grids and Venn Diagrams notes cover this in full.
What are exhaustive events?
Exhaustive events are events that between them cover every possible outcome of an experiment, so one of them must happen. The Exhaustive Sets and Mutually Exclusive Events notes cover this in full.
How do you find the probability of two independent events?
For independent events, P(A and B) = P(A) × P(B), because P(B|A) = P(B). The Tree Diagrams for Combined Events notes cover this in full.
What are mutually exclusive events?
Mutually exclusive events cannot occur at the same time in a single trial: if event A happens, event B cannot also happen. The Exhaustive Sets and Mutually Exclusive Events notes cover this in full.