plumiProbability, Venn and tree diagrams: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 3.1 Probability, Venn and tree diagrams, 2018–2025, 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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All 13 questions on Probability, Venn and tree diagrams, as a list
- June 2025, Paper 2, Q7 (7 marks): Some people have blood type A and some people have brown hair. A person may have both, just one, or neither of these characteristics. A person is selected at ra
- June 2024, Paper 2, Q5 (4 marks): M is the event that an A-level student selected at random studies mathematics. C is the event that an A-level student selected at random studies chemistry. You
- June 2024, AS Paper 2, Q9 (6 marks): A fair six-sided die has its faces numbered 1, 3, 4, 5, 6 and 7. The die is rolled once. A is the event that the die shows an even number. B is the event that t
- June 2023, Paper 2, Q16 (8 marks): Research conducted by social scientists has shown that 16% of young adults smoke cigarettes. Two young adults are selected at random. (a) Determine the probabil
- June 2022, Paper 2, Q4 (4 marks): A survey of university students revealed that • 31% have a part-time job but do not play competitive sport. • 23% play competitive sport but do not have a part-
- November 2021, Paper 2, Q9 (10 marks): Labrador puppies may be black, yellow or chocolate in colour. Some information about a litter of 9 puppies is given in the table. male female black 1 3 yellow 2
- November 2020, Paper 2, Q7 (5 marks): You are given that ( ) P A 0 6 . , ( ) P B 0 5 . and ( P A B ) 0 2 . . l = = , = (a) Find ( P A B ) . [2] + (b) Find ( P A B ) . [2] (c) State, with a reason, w
- November 2020, AS Paper 2, Q5 (6 marks): A company needs to appoint 3 new assistants. 8 candidates are invited for interview; each candidate has a different surname. The candidates are to be interviewe
- June 2019, Paper 2, Q8 (9 marks): A team called “The Educated Guess” enter a weekly quiz. If they win the quiz in a particular week, the probability that they will win the following week is 0.4,
- June 2019, AS Paper 2, Q5 (8 marks): Each day John either cycles to work or goes on the bus. • If it is raining when John is ready to set off for work, the probability that he cycles to work is 0.4
- June 2018, Paper 2, Q3 (2 marks): The probability that Chipping FC win a league football match is P(W) = 0.4. (i) Calculate the probability that Chipping FC fail to win each of their next two le
- June 2018, Paper 2, Q11 (6 marks): The discrete random variable X takes the values 0, 1, 2, 3, 4 and 5 with probabilities given by the formula P(X = x) = k(x + 1)(6 ‒ x) . (i) Find the value of k
- June 2018, Paper 2, Q12 (5 marks): You must show detailed reasoning in this question. In the summer of 2017 in England a large number of candidates sat GCSE examinations in both mathematics and E
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