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Conditional probability: OCR A‑Level Maths questions

OCR A-Level Maths past-paper questions on 2.03.2 Conditional probability, 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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481 questions

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  2. Q14

    June 2023 · Paper 2

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  5. Q10

    November 2021 · AS Paper 1

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All 8 questions on Conditional probability, as a list
  1. June 2025, Paper 2, Q12 (7 marks): Sam has 9 cards, each with a different non-zero digit printed on it. 1 2 3 4 5 6 7 8 9 Sam chooses 5 cards at random and places them in a random order in a stra
  2. June 2023, Paper 2, Q14 (7 marks): In this question you must show detailed reasoning. A disease that affects trees shows no visible evidence for the first few years after the tree is infected. A
  3. June 2022, Paper 2, Q13 (10 marks): There are 25 students in a class. • The number of students who study both History and English is 3. • The number of students who study neither History nor Engli
  4. November 2021, Paper 2, Q12 (13 marks): Anika and Beth are playing a game which consists of several points. • The probability that Anika will win any point is 0.7. • The probability that Beth will win
  5. November 2021, AS Paper 1, Q10 (6 marks): Jane conducted a survey. She chose a sample of people from three towns, A, B and C. She noted the following information. 400 people were chosen. 230 people were
  6. November 2020, Paper 2, Q15 (10 marks): In this question you must show detailed reasoning. The random variable X has probability distribution defined as follows. x * 15 2 x 2 3 4 5 , , , , = # 64 x !
  7. June 2019, Paper 2, Q12 (12 marks): A random variable X has probability distribution defined as follows. * kx x 1 2 3 4 5 , , , , , = P ( X x ) = = 0 otherwise , where k is a constant. (a) Show th
  8. June 2018, Paper 2, Q12 (11 marks): The discrete random variable X takes values 1, 2, 3, 4 and 5, and its probability distribution is defined as follows. Z a x 1 , = ] ] 1 X x X x x P ( ) [ P ( 1

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