plumiProbability: OCR MEI A‑Level Maths questions
Every OCR MEI A-Level Maths exam question on S.3 Probability, 2018–2025, with its mark scheme and examiner’s report.
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![June 2025 AS Paper 2, question 8: The probability function of a discrete random variable X is k r P X ( r ) , 1 2 3 4 , , , , = = = r where k is a constant. (a) Determine the value of k. [2] Two](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/h63002-jun25-08-qp.webp?v=3)
![November 2020 Paper 2, question 7: 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](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/h64002-nov20-07-qp.webp?v=3)
![June 2018 AS Paper 2, question 4: The probability distribution of the discrete random variable X is given in Fig. 4. r 0 1 2 3 4 P(X = r) 0.2 0.15 0.3 k 0.25 Fig. 4 (i) Find the value of k. [2]](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/h63002-jun18-04-qp.webp?v=3)
All 16 questions on Probability, 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 2025, AS Paper 2, Q8 (4 marks): The probability function of a discrete random variable X is k r P X ( r ) , 1 2 3 4 , , , , = = = r where k is a constant. (a) Determine the value of k. [2] Two
- 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 2023, AS Paper 2, Q9 (6 marks): The table shows the probability distribution for the discrete random variable X. x 1 2 3 4 5 P ( X x ) 0.1 0.3 q 2q 3q = You are given that q is a positive cons
- 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
- June 2018, AS Paper 2, Q4 (5 marks): The probability distribution of the discrete random variable X is given in Fig. 4. r 0 1 2 3 4 P(X = r) 0.2 0.15 0.3 k 0.25 Fig. 4 (i) Find the value of k. [2]
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