plumiCombined events and tree diagrams: OCR GCSE Maths questions
Every OCR GCSE Maths exam question on P8 Combined events and tree diagrams, 2017–2025, with its mark scheme and examiner’s report.
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All 26 questions on Combined events and tree diagrams, as a list
- June 2025, Paper 5, Q21 (6 marks): There are 10 sweets in a bag. 4 of the sweets are red, 4 are green and 2 are yellow. (a) Charlie says, The probability of picking the two yellow sweets at rando
- June 2025, Paper 6, Q15 (5 marks): A packet of 6 pens contains 4 red pens and 2 blue pens. A pen is taken at random from the packet and is not replaced. A second pen is then taken at random from
- November 2024, Paper 6, Q17 (7 marks): An online company is tracking the timing and condition of its deliveries. The probability that a parcel arrives on time is 0.6. When the parcel arrives on time,
- June 2024, Paper 4, Q11 (7 marks): A student attempts two tasks. The result of each task is either “Pass” or “No pass”. The probability of the student passing the first task is 0.6. The probabili
- November 2023, Paper 4, Q12 (7 marks): In a computer game the player can either win or lose. A student thinks the ratio of the probability of winning to the probability of losing is 2 : 3. The studen
- November 2023, Paper 5, Q25 (5 marks): Riley has a set of cards. Each card has a triangle or circle drawn on it and is coloured red or blue. The table gives some information about the number of each
- June 2023, Paper 4, Q16 (5 marks): If it rains on a given day the probability that it will rain the next day is 0.65. If it does not rain on a given day the probability that it will rain the next
- June 2023, Paper 5, Q19 (5 marks): A box contains 25 discs. The discs are either blue or yellow in the ratio 4 : 1. Two discs are chosen at random from the box without replacement. Find the proba
- November 2022, Paper 5, Q12 (7 marks): The time, t seconds, taken by each of 60 students to complete a puzzle is recorded. The table shows information about these times. Time 20 1 t 30 30 1 t 40 40 1
- November 2022, Paper 6, Q4 (6 marks): Sam and Taylor are playing a game against a computer. They can win, draw or lose the game. Sam says I think the probability of us winning the game is 0.3. Taylo
- June 2022, Paper 4, Q17 (4 marks): There are 15 sweets in a bag. 10 of the sweets are toffee and 5 are mint. Reece takes two of the sweets at random. Work out the probability that Reece takes one
- June 2022, Paper 6, Q1 (4 marks): A student rolls two fair four-sided dice each numbered 1, 2, 3 and 4. They add the two scores together. (a) Complete the sample space diagram to show the possib
- June 2022, Paper 6, Q12 (4 marks): A student has a spinner with sectors numbered 1, 2, 3 and 4. 2 1 3 4 The table shows the probability of each score. Score 1 2 3 4 Probability 0.4 0.3 0.2 0.1 Th
- November 2021, Paper 4, Q7 (8 marks): (a) Over a long period of time, it is found that the probability of a train from Bewford to London being late is 0.2. (i) One morning there are two trains from
- November 2020, Paper 5, Q8 (3 marks): A weather forecast says • the probability that it will rain on Monday is 0.55 and • the probability that it will rain on Tuesday is 0.25. Ella draws a tree diag
- November 2020, Paper 6, Q8 (4 marks): Li has t toy bricks. She only has red bricks and blue bricks. Li picks two bricks, one after the other. 2 . If the first brick she picks is red, the probability
- November 2020, Paper 6, Q15 (4 marks): A bus company has a large number of buses. 25% of the buses are more than 10 years old. If a bus is more than 10 years old, the probability that it will start f
- November 2019, Paper 6, Q3 (3 marks): Jacob, Amelie and Reuben each roll a fair six-sided dice. What is the probability that all three roll a number less than 3? Give your answer as a fraction in it
- November 2019, Paper 6, Q6 (4 marks): The table shows the children nominated to win the subject prize in Mathematics and the subject prize in English. Mathematics English Alice Alice Ben Claire Emma
- November 2019, Paper 6, Q13 (5 marks): Dani has a pack of 45 cards. Each card is either red or black. One-third of the cards in the pack are red. She picks two cards from the pack, without replacemen
- June 2019, Paper 5, Q6 (4 marks): A bag contains 4 red counters and 3 blue counters only. Jack picks a counter at random and then replaces it. Jack then picks a second counter at random. (a) Com
- June 2019, Paper 6, Q12 (6 marks): Antonio rolls two fair six-sided dice and calculates the difference between the scores. For example, if the two scores are 2 and 5 or 5 and 2 then the differenc
- November 2018, Paper 6, Q7 (7 marks): The probability that any postcard posted in Portugal on Monday is delivered to the UK within a week is 0.62. The probability that any postcard posted in Portuga
- November 2017, Paper 5, Q14 (6 marks): Adam has 10 sweets in a bag. 5 are cherry sweets, 4 are lemon sweets and 1 is an orange sweet. Adam chooses a sweet at random from the bag and eats it. He then
- November 2017, Paper 6, Q11 (5 marks): Reuben is playing a matching game with these cards. He turns the cards over and shuffles them. Reuben takes a card and keeps it. He then takes a second card. If
- June 2017, Paper 4, Q13 (8 marks): Rashid drives his car along a road passing through two sets of traffic lights. The tree diagram shows the probabilities of the lights being red when he reaches
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