plumiProbability: WJEC A‑Level Maths questions
Every WJEC A-Level Maths exam question on S.3 Probability, 2018–2025, with its mark scheme and examiner’s report.
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![Summer 2025 AS Unit 2, question 4: 4. The following Venn diagram shows the events A, B, C, D together with some probabilities. C p A B 0·13 0·08 0·17 q D r (a) Find: (i) P(A) (ii) P(A ∩ B). [2] (](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/2300u20-jun25-04-qp.webp)
![Summer 2023 AS Unit 2, question 1: The events A and B are such that P(A) = 0.3, P(B) = 0.2 and P(A ∩ B) = 0.1. 0 1 a) Find P(A ∪ B). [2] The event C is such that P(C) = 0.45. The events B and C a](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/2300u20-jun23-01-qp.webp)
![Summer 2022 AS Unit 2, question 1: 1 The events A and B are such that ∪ P(A) = 0·3, P(B) = 0·6, P(A B) = 0·82. a) Determine whether or not A and B are independent. [4] b) Find the probability tha](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/2300u20-jun22-01-qp.webp)
![Summer 2019 AS Unit 2, question 1: 1 3 5 0 1 Three events A, B, C are such that P(B) = , P(C) = , P(A ∪ B) = , P(A ∪ C) = . 5 6 4 6 The events A and B are independent. a) Find P(A). [3] b) Determ](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/2300u20-jun19-01-qp.webp)
All 16 questions on Probability, as a list
- Summer 2025, Unit 4, Q2 (12 marks): 2. Selina is sitting two multiple-choice tests. (a) For each question in the first test, she classifies herself as ‘very confident’, ‘confident’ or ‘not confide
- Summer 2025, AS Unit 2, Q4 (8 marks): 4. The following Venn diagram shows the events A, B, C, D together with some probabilities. C p A B 0·13 0·08 0·17 q D r (a) Find: (i) P(A) (ii) P(A ∩ B). [2] (
- Summer 2024, Unit 4, Q1 (3 marks): 1. The table below shows the destination from school of 180 year 11 pupils. Most pupils either continued education, in school or college, or went into some form
- Summer 2024, AS Unit 2, Q3 (8 marks): 3. The following Venn diagram shows the participation of 100 students in three activities, A, B, and C, which represent athletics, baseball and climbing respect
- Summer 2023, Unit 4, Q1 (6 marks): 1 Two fair, non-cubical dice give scores of 1 to 4 and 1 to 8 respectively. A dice is selected at random and then rolled once. a) Find the probability that the
- Summer 2023, Unit 4, Q2 (7 marks): A certain fungus occurs in a population of trees in two mutually exclusive types, 0 2 X and Y. It is known that 4% of the trees have type X of the fungus and th
- Summer 2023, AS Unit 2, Q1 (10 marks): The events A and B are such that P(A) = 0.3, P(B) = 0.2 and P(A ∩ B) = 0.1. 0 1 a) Find P(A ∪ B). [2] The event C is such that P(C) = 0.45. The events B and C a
- Summer 2023, AS Unit 2, Q3 (4 marks): 3 The probability distribution of a discrete random variable X is given below. x 4 8 16 0.3 0.5 0.2 P(X = x) Two independent values of X are generated. Find the
- Summer 2022, Unit 4, Q2 (8 marks): 2 System faults that occur in a particular type of aeroplane can be categorised in one of three mutually exclusive ways as compass (event C), gyroscopic (event
- Summer 2022, AS Unit 2, Q1 (7 marks): 1 The events A and B are such that ∪ P(A) = 0·3, P(B) = 0·6, P(A B) = 0·82. a) Determine whether or not A and B are independent. [4] b) Find the probability tha
- Summer 2019, Unit 4, Q1 (5 marks): 1 Val buys electrical components from one of 3 suppliers A, B, C, in the ratio 2 : 1 : 7. The probability that the component is faulty is 0.33 for A, 0.45 for B
- Summer 2019, Unit 4, Q2 (10 marks): 2 Four children are playing a game in order to win a calculator. They take turns, starting with Alex, followed by Ben, then Caroline, then Danielle, rolling a f
- Summer 2019, AS Unit 2, Q1 (7 marks): 1 3 5 0 1 Three events A, B, C are such that P(B) = , P(C) = , P(A ∪ B) = , P(A ∪ C) = . 5 6 4 6 The events A and B are independent. a) Find P(A). [3] b) Determ
- Summer 2018, Unit 4, Q1 (7 marks): 1 An architect bids for two construction projects. He estimates the probability of winning bid A is 0.6, the probability of winning bid B is 0.5 and the probabi
- Summer 2018, Unit 4, Q2 (7 marks): a) Marie is an athlete who competes in the high jump. In a certain competition she 0 2 is allowed two attempts to clear each height, but if she is successful wi
- Summer 2018, AS Unit 2, Q2 (7 marks): 2 The Venn diagram shows the subjects studied by 40 sixth form students. F represents the set of students who study French, M represents the set of students who
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