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Probability, Venn and tree diagrams: Edexcel A‑Level Maths questions

Edexcel A-Level Maths past-paper questions on 3.1 Probability, Venn and tree diagrams, 2010–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.

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  2. Q5

    June 2025 · AS Statistics

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  3. Q5

    June 2024 · Statistics

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  4. Q6

    June 2024 · Statistics

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  5. Q1

    June 2023 · Statistics

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  6. Q3

    June 2023 · AS Statistics

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  7. Q5

    June 2022 · Statistics

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  8. Q4

    November 2021 · Statistics

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  9. Q1

    November 2021 · AS Statistics

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  10. Q5

    November 2021 · AS Statistics

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  11. Q1

    November 2020 · Statistics

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  12. Q1

    June 2019 · Statistics

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  13. Q2

    June 2019 · AS Statistics

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All 13 questions on Probability, Venn and tree diagrams, as a list
  1. June 2025, Statistics, Q1 (9 marks): Bag A contains 5 red, 4 yellow and 3 green beads. Bag B only contains red and yellow beads. A bead is selected at random from bag A and a second bead is selecte
  2. June 2025, AS Statistics, Q5 (7 marks): Events A, B and C are such that • P(A or C) = 0.55 • the probability that none of the events occur is 0.23 • the probability that exactly two of the events occu
  3. June 2024, Statistics, Q5 (10 marks): The records for a school athletics club show that the height, H metres, achieved by students in the high jump is normally distributed with mean 1.4 metres and s
  4. June 2024, Statistics, Q6 (11 marks): The Venn diagram, where p, q and r are probabilities, shows the events A, B, C and D and associated probabilities. A B C r 0.05 0.27 0.25 0.08 p D q (a) State a
  5. June 2023, Statistics, Q1 (6 marks): The Venn diagram, where p and q are probabilities, shows the three events A, B and C and their associated probabilities. A 0.13 0.3 0.25 0.05 C p q B (a) Find P
  6. June 2023, AS Statistics, Q3 (6 marks): In an after-school club, students can choose to take part in Art, Music, both or neither. There are 45 students that attend the after-school club. Of these • 25
  7. June 2022, Statistics, Q5 (10 marks): A company has 1825 employees. The employees are classified as professional, skilled or elementary. The following table shows • the number of employees in each c
  8. November 2021, Statistics, Q4 (11 marks): A large college produces three magazines. One magazine is about green issues, one is about equality and one is about sports. A student at the college is selecte
  9. November 2021, AS Statistics, Q1 (2 marks): 0.2 A 0.2 0.2 0.1 C p B The Venn diagram, where p is a probability, shows the 3 events A, B and C with their associated probabilities. (a) Find the value of p.
  10. November 2021, AS Statistics, Q5 (5 marks): Two bags, A and B, each contain balls which are either red or yellow or green. Bag A contains 4 red, 3 yellow and n green balls. Bag B contains 5 red, 3 yellow
  11. November 2020, Statistics, Q1 (8 marks): The Venn diagram shows the probabilities associated with four events, A, B, C and D A 0.07 0.16 0.24 C B s r q p D (a) Write down any pair of mutually exclusive
  12. June 2019, Statistics, Q1 (8 marks): Three bags, A, B and C, each contain | red marble and some green marbles. Bag A contains | red marble and 9 green marbles only Bag B contains 1 red marble and 4
  13. June 2019, AS Statistics, Q2 (5 marks): The Venn diagram shows three events, A, B and C, and their associated probabilities. A 0.10 0.06 0.39 y 0.30 C x z 0 B Events B and C are mutually exclusive. Ev

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