Probability of combined events: past paper questions

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• Question 7May/June 2026, paper 11Structured4 marks

  Two fair 4-sided dice have faces numbered 1 to 4. The dice are thrown, and the numbers are multiplied to give a total.

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• Question 26Oct/Nov 2025, paper 13Structured4 marksHas a diagram

  There are 2 sets of traffic lights on Li’s journey to work. The probability he stops at the first set of traffic lights is 0.4 . The probability he stops at the second set of traffic lights is 0.7 .

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• Question 6Oct/Nov 2024, paper 31Structured14 marks

  This is a recipe to make ice cream for 6 people. 270 ml cream 270 ml milk 100 g sugar 4 egg yolks Tom makes ice cream for 10 people. Work out how much milk he uses.

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• Question 19Oct/Nov 2023, paper 13Structured4 marksHas a diagram

  A bag contains these cards. $$\boxed{{\displaystyle 1}}\boxed{{\displaystyle 7}}\boxed{{\displaystyle 3}}\boxed{{\displaystyle 9}}\boxed{{\displaystyle 4}}\boxed{{\displaystyle 5}}\boxed{{\displaystyle 2}}$$ One of these cards is picked at random. Find the probability that the number on the card is greater than 3.

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• Question 22May/June 2026, paper 12Structured4 marks

  A bag contains 7 pink blocks and 5 green blocks. Kay picks a block at random, notes its colour and puts it back in the bag. She does this a second time.

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• Question 19May/June 2025, paper 11Structured5 marks

  A box contains 10 counters. The counters are either red or green. The ratio red counters : green counters = 1 : 4.

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• Question 7May/June 2024, paper 33Structured12 marks

  Li spins a fair 6-sided spinner numbered 1 to 6. On the probability scale, draw an arrow ( $\downarrow$ ) to show the probability that the spinner lands on the number 2.

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• Question 21May/June 2023, paper 13Structured4 marks

  A spinner has five sides. Each side is painted red, blue, green, yellow or orange. The table shows some of the probabilities of the spinner landing on each colour.

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• Question 20May/June 2026, paper 33Structured4 marksHas a diagram

  The diagram shows a fair spinner. Azra spins the spinner twice. Complete the tree diagram.

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• Question 9May/June 2023, paper 31Structured6 marksHas a diagram

  Maria spins a fair 7-sided spinner numbered 1 to 7. Explain why the probability that the spinner lands on a prime number is $\frac{4}{7}$.

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