Conditional probability: past paper questions

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• Question 18May/June 2026, paper 22Structured6 marksHas a diagram

  Marwa has these 10 numbered tiles.

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• Question 20Oct/Nov 2025, paper 21Structured9 marksHas a diagram

  Bag A contains 5 white balls and 3 black balls. Bag B contains 3 white balls and 1 black ball. Two balls are picked at random from bag B without replacement.

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• Question 16Oct/Nov 2024, paper 22Structured1 markHas a diagram

  75 people are asked if they have a car, $C$, and if they have a job, $J$. The Venn diagram shows the results. A person is chosen at random from those who have a car.

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• Question 8Oct/Nov 2023, paper 42Structured9 marksHas a diagram

  The diagram shows two fair dice. Dice A is numbered 1, 2, 2, 2, 3, 6. Dice B is numbered 2, 3, 3, 4, 4, 4.

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• Question 25Oct/Nov 2025, paper 23Structured3 marksHas a diagram

  Mahir picks one number at random from the numbers 5, 10 and 15. He then picks one number at random from the numbers 4, 5 and 6. He adds the two numbers.

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• Question 23May/June 2024, paper 22Structured3 marks

  The Venn diagram shows information about the number of students in a class. Some study English ($E$), some study French ($F$), some study Spanish ($S$) and some do not study any of these languages. Find $\mathrm{n}((E\cup F{)}^{\mathrm{\prime }}\cup S)$.

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• Question 17May/June 2025, paper 21Structured7 marks

  A bag contains 6 red marbles, 3 green marbles and 1 blue marble. Two marbles are picked at random from the bag with replacement. Find the probability that both marbles are green.

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• Question 11May/June 2025, paper 23Structured4 marks

  Angela picks a number at random from the numbers 1, 2 and 3. She then picks a number at random from the numbers 4, 5 and 6. She adds the two numbers to find the total.

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