plumiProbability: AQA A‑Level Maths questions
Every AQA A-Level Maths exam question on M Probability, 2018–2025, with its mark scheme and examiner’s report.
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![June 2025 Paper 3, question 19: Three events X, Y and Z are such that P(X) = P(Y ) = 0.38 P(X ∪ Z) = 0.5 P[(X ∪ Y)' ] = 0.35 X and Z are mutually exclusive. 19 (a) Find P(Z) [1 mark] 19 (b) Co](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/73573-jun25-19-qp.webp)
![June 2024 Paper 3, question 13: The shaded region on one of the Venn diagrams below represents (A ∩ C) ∩ B Identify this Venn diagram. Tick (✓) one box. [1 mark] A B C C A B C A B C A B](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/73573-jun24-13-qp.webp)
![June 2023 Paper 3, question 11: A and B are mutually exclusive events. Which one of the following statements must be correct? Tick (3) one box. [1 mark] P(A ¨ B) = P(A) × P(B) P(A ¨ B) = P(A)](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/73573-jun23-11-qp.webp)
![November 2021 Paper 3, question 14: A and B are two events such that P(A ˙ B) = 0:1 P(A0 ˙ B0) = 0:2 P(B) = 2P(A) 14 (a) Find P(A) [4 marks] 14 (b) Find P(BjA) [2 marks] 14 (c) Determine if A and](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/73573-nov21-14-qp.webp)
All 11 questions on Probability, as a list
- June 2025, Paper 3, Q19 (10 marks): Three events X, Y and Z are such that P(X) = P(Y ) = 0.38 P(X ∪ Z) = 0.5 P[(X ∪ Y)' ] = 0.35 X and Z are mutually exclusive. 19 (a) Find P(Z) [1 mark] 19 (b) Co
- June 2024, Paper 3, Q13 (1 mark): The shaded region on one of the Venn diagrams below represents (A ∩ C) ∩ B Identify this Venn diagram. Tick (✓) one box. [1 mark] A B C C A B C A B C A B
- June 2024, Paper 3, Q18 (7 marks): The Human Resources director in a company is investigating the graduate status and salaries of its employees. Event G is defined as the employee is a graduate.
- June 2023, Paper 3, Q11 (1 mark): A and B are mutually exclusive events. Which one of the following statements must be correct? Tick (3) one box. [1 mark] P(A ¨ B) = P(A) × P(B) P(A ¨ B) = P(A)
- June 2023, Paper 3, Q13 (4 marks): There are two types of coins in a money box: * 20% are bronze coins * 80% are silver coins Craig takes out a coin at random and places it back in the money box.
- June 2022, Paper 3, Q16 (10 marks): A sample of 240 households were asked which, if any, of the following animals they own as pets: * cats (C) * dogs (D) * tortoises (T ) The results are shown in
- November 2021, Paper 3, Q14 (7 marks): A and B are two events such that P(A ˙ B) = 0:1 P(A0 ˙ B0) = 0:2 P(B) = 2P(A) 14 (a) Find P(A) [4 marks] 14 (b) Find P(BjA) [2 marks] 14 (c) Determine if A and
- November 2020, Paper 3, Q10 (1 mark): The probabilities of events A, B and C are related, as shown in the Venn diagram below. x A ε 0.12 0.05 B 0.18 0.30 C 0.24 Find the value of x. Circle your answ
- November 2020, Paper 3, Q13 (6 marks): Diedre is a head teacher in a school which provides primary, secondary and sixth-form education. There are 200 teachers in her school. The number of teachers in
- June 2019, Paper 3, Q14 (7 marks): A survey was conducted into the health of 120 teachers. The survey recorded whether or not they had suffered from a range of four health issues in the past year
- June 2018, Paper 3, Q14 (6 marks): A teacher in a college asks her mathematics students what other subjects they are studying. She finds that, of her 24 students: 12 study physics 8 study geograp
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