A Level Maths · Statistics · Year 12 and 13
Probability questions reward a good diagram. Venn diagrams, tree diagrams and two-way tables turn wordy questions into arithmetic; Year 13 adds conditional probability and set notation.
AS content is usually taught in Year 12. The full A Level adds the Year 13 content.
Given that $P(X) = 0.4$, $P(Y) = 0.5$, and $P(X \cap Y) = 0.2$, find the conditional probability $P(X | Y)$.
Then practise: skills to practise · open probability practice questions.
Every board examines the same A Level Maths content, set by the Department for Education. Only the paper it appears on and the section numbering differ.
| Board | Specification reference | Examined in |
|---|---|---|
| AQA 7357 | AQA section M | Paper 3, Section B |
| Edexcel 9MA0 | Edexcel topic Statistics 3 | Paper 3, Section A |
| OCR A H240 | OCR reference 2.03 | Paper 2, statistics section |
Three examples from the question bank. Every question comes with a step-by-step mark scheme (M, A and B marks) once you start practising.
Events $A$ and $B$ are mutually exclusive. Given that $P(A) = 0.3$ and $P(B) = 0.45$, find $P(A \cup B)$.
Mark scheme: in the 48-hour free trial.
Given that $P(A) = 0.5$, $P(B) = 0.6$, and $P(A \cup B) = 0.85$, find $P(A \cap B)$.
Mark scheme: in the 48-hour free trial.
A bag contains 5 green counters and 3 yellow counters. A counter is drawn at random, its colour is noted, and it is replaced. This is done 3 times in total. Find the probability that exactly 2 green counters are drawn.
Mark scheme: in the 48-hour free trial.
Questions are original and written in the style of Edexcel 9MA0, and cover content that AQA and OCR examine too. They are not past-paper questions.
These skills sit in the Statistics unit of the UK A Level practice engine. Pick any mix of them, set the difficulty, and check each answer against its mark scheme.
Probability can come up on these papers (from each board's paper structure). We haven't mapped individual questions yet, so open a recent paper and look for it.
| Board | Recent papers that can test it |
|---|---|
| Edexcel 9MA0 | Paper 3: June 2024, June 2023, June 2022 |
| AQA 7357 | Paper 3: June 2023, June 2022, November 2021 |
| OCR H240 | Paper 2: June 2024, June 2023, June 2022 |
Papers are © the exam boards; each page links to the official question paper and mark scheme. All A Level Maths past papers →
Yes. Probability is part of the A Level Maths content that every board examines: AQA section M, Edexcel Statistics 3, OCR 2.03. It is assessed in AQA Paper 3, Section B; Edexcel Paper 3, Section A; OCR A Paper 2, statistics section.
Both. The AS content, usually taught in Year 12, is: Mutually exclusive and independent events; Venn diagrams, tree diagrams and two-way tables. The full A Level adds: Conditional probability, including set notation P(A | B); Modelling with probability and questioning the assumptions.
Show that P(A ∩ B) = P(A) × P(B), or that P(A | B) = P(A). Say which one you are testing and write a conclusion.
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