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Combined events and conditional probability: Edexcel GCSE Statistics questions

Every Edexcel GCSE Statistics exam question on 3b Combined events and conditional probability, 2019–2025, with its mark scheme and examiner’s report.

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358 questions

  1. Q9

    June 2025 · Paper 1 Higher

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  2. Q5

    June 2025 · Paper 1 Foundation

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  3. Q5

    June 2025 · Paper 2 Higher

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  5. Q19

    June 2025 · Paper 2 Foundation

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  8. Q11

    June 2024 · Paper 1 Foundation

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  9. Q11

    June 2024 · Paper 2 Higher

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  11. Q11

    June 2023 · Paper 1 Foundation

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  12. Q1

    June 2023 · Paper 2 Higher

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  14. Q9

    June 2022 · Paper 1 Higher

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  15. Q14

    June 2022 · Paper 1 Higher

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  16. Q10

    June 2022 · Paper 1 Foundation

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  18. Q6

    November 2021 · Paper 1 Higher

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  19. Q12

    November 2021 · Paper 1 Foundation

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All 30 questions on Combined events and conditional probability, as a list
  1. June 2025, Paper 1 Higher, Q9 (9 marks): A company sells furniture. The company has a telephone number that customers can use if they want to complain. At the end of the call customers are asked if the
  2. June 2025, Paper 1 Foundation, Q5 (3 marks): Paul has two fair 6‑sided dice. One dice is red and one dice is blue. He rolls both dice and adds the scores shown on their faces to get a total. (a) Complete t
  3. June 2025, Paper 2 Higher, Q5 (8 marks): 120 musicians were asked what instruments they play. The most popular instruments were piano (P), drums (D) and guitar (G). 10 musicians play all three instrume
  4. June 2025, Paper 2 Foundation, Q1 (2 marks): Below are 10 cards from a game. (a) Complete this two‑way table. Black White Total Star 3 1 4 Circle Total One of the 10 cards is picked at random. (b) Write do
  5. June 2025, Paper 2 Foundation, Q19 (6 marks): 120 musicians were each asked if they play any of the instruments piano, guitar or drums. 40 musicians play the drums. The Venn diagram gives information about
  6. June 2024, Paper 1 Higher, Q9 (8 marks): Peter drops his children off at a breakfast club every Monday morning and every Tuesday morning. He either drops them off on time or late. The probability that
  7. June 2024, Paper 1 Foundation, Q5 (6 marks): Carol spins the two spinners A and B. She adds their scores together. A B 2 1 2 1 3 4 3 (a) Complete the sample space diagram below to show all the possible tot
  8. June 2024, Paper 1 Foundation, Q11 (6 marks): Kyryl and Matthew play against each other in a game of tennis and a game of squash. In each game either Kyryl or Matthew wins. The probability that Kyryl wins t
  9. June 2024, Paper 2 Higher, Q11 (5 marks): The Venn diagram shows information about 50 books on a reading list. A is the event that the book is a science fiction book. B is the event that the book is an
  10. June 2023, Paper 1 Higher, Q8 (8 marks): Ian collects information about whether drivers have had advanced driver training and whether they have exceeded the speed limit in the last month. He finds that
  11. June 2023, Paper 1 Foundation, Q11 (4 marks): A fair 3-sided spinner numbered 1, 2 and 3 and a fair 4-faced dice numbered 1, 2, 3 and 4 are used in a game. To play the game, a player spins the spinner once
  12. June 2023, Paper 2 Higher, Q1 (8 marks): Grace asked a sample of 60 people in her town if they had ever visited France or Spain. 17 people visited both France and Spain 23 people visited Spain only 33
  13. June 2023, Paper 2 Foundation, Q5 (8 marks): Linzi is the owner of a coffee shop and makes afternoon teas for customers. The customers have an option of egg or ham sandwiches and an option of plain or frui
  14. June 2022, Paper 1 Higher, Q9 (3 marks): There are 8 coloured discs in bag X and 9 coloured discs in bag Y. In bag X, there are 3 red discs and 5 yellow discs. In bag Y, there are 5 red discs and 4 yel
  15. June 2022, Paper 1 Higher, Q14 (4 marks): Olga is investigating the types of exercise taken by a group of 120 people. Olga asked each of these 120 people whether or not, for exercise, they go to a gym (
  16. June 2022, Paper 1 Foundation, Q10 (9 marks): 120 adults were each asked if they enjoy watching any of the sports Football, Cricket or Rugby. The Venn diagram gives information about the numbers of these ad
  17. June 2022, Paper 2 Foundation, Q7 (6 marks): On her drive to work Hinata passes through two sets of traffic lights. The traffic lights work independently. On any day that Hinata drives to work the probabil
  18. November 2021, Paper 1 Higher, Q6 (7 marks): The Venn diagram shows probabilities relating to the three events A, B and C. B A C 0.08 0.38 0.15 0.05 0.23 0.11 (a) Write down which two events from A, B and
  19. November 2021, Paper 1 Foundation, Q12 (6 marks): A census found out information about people in Europe who were aged 15 to 19 in 2017 The Venn diagram gives information about the employment status and the educ
  20. November 2021, Paper 2 Higher, Q12 (7 marks): A company contracts two manufacturers, A and B, to make an item that the company sells. Manufacturer A makes 65% of the items for the company to sell. It is fou
  21. November 2021, Paper 2 Foundation, Q2 (6 marks): An activity centre sells Adult tickets and Child tickets. A ticket can be a Day pass or a Weekend pass. The incomplete two‑way table gives some information abou
  22. November 2021, Paper 2 Foundation, Q9 (5 marks): There are two types of books, paperback books and hardback books, in a library. The library database records the type of book and when the book was last borrowe
  23. November 2020, Paper 1 Higher, Q4 (6 marks): It was reported that 3% of the old style £1 coins are fake. All the other old style £1 coins are genuine. Shreya has two old style £1 coins. She does not know i
  24. November 2020, Paper 1 Foundation, Q4 (7 marks): Some students in Year 9, in Year 10 and in Year 11 at a school were asked to name their favourite meal. The two-way table gives some information about the favou
  25. November 2020, Paper 1 Foundation, Q13 (6 marks): It was reported that 3% of the old style £1 coins are fake. All the other old style £1 coins are genuine. Shreya has two old style £1 coins. She does not know i
  26. November 2020, Paper 2 Higher, Q7 (11 marks): The manager of a garage records optional extra features sold with each new car sold last month. The optional extra features are air conditioning (A), bluetooth
  27. June 2019, Paper 1 Higher, Q3 (7 marks): The table gives information about the numbers of students from different types of schools who applied to Cambridge University in 2016 Applications in 2016 Type
  28. June 2019, Paper 1 Higher, Q11 (10 marks): Some students at a school walk home and some students go home by bus. The times taken by the students at the school to walk home have a mean of 25 minutes and a
  29. June 2019, Paper 1 Foundation, Q13 (7 marks): The table gives information about the numbers of students from different types of schools who applied to Cambridge University in 2016 Applications in 2016 Type
  30. June 2019, Paper 1 Foundation, Q15 (5 marks): A driving school has 40 cars. The cars are either petrol cars or diesel cars. The cars have either a manual gearbox or an automatic gearbox. 16 of the cars have

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