Introduction to probability: past paper questions

Where the questions come from

• Question 12Oct/Nov 2025, paper 22Structured6 marksHas a diagram

  A fitness club has 100 members. 60 swim ($S$). 70 cycle ($C$).

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• Question 10Oct/Nov 2024, paper 21Structured3 marks

  Jacinda plays a game with her friend. She can win, lose or draw the game.

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• Question 6Oct/Nov 2023, paper 23Structured3 marks

  Rama asks a group of students how they travel to school. The table shows the probability of how a student, chosen at random, travels to school.

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• Question 12Oct/Nov 2025, paper 43Structured2 marks

  A vase contains flowers that are red or pink or white. Ruth picks a flower at random from the vase. The probability that the flower is not red is 0.9 .

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• Question 5Oct/Nov 2024, paper 41Structured9 marks

  A box contains 3 blue pens and 5 red pens. Mia picks a pen from the box at random. Find the probability that she picks a red pen.

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• Question 5May/June 2023, paper 21Structured2 marks

  Eric has four colours of paint. The table shows the probability that he uses each colour.

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• Question 4May/June 2025, paper 22Structured2 marks

  Samira picks one of these cards at random and replaces it. Find the probability that she picks an odd number.

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• Question 8Oct/Nov 2024, paper 42Structured8 marks

  A bag contains 24 coloured beads. Some are red, some are blue and 10 are yellow. One bead is picked at random from the bag.

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• Question 9Oct/Nov 2024, paper 43Structured9 marksHas a diagram

  A bag contains 5 white balls and 3 black balls. Marwan picks a ball from the bag at random and then replaces it. Find the probability that the ball is white.

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• Question 7May/June 2023, paper 23Structured4 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 2May/June 2024, paper 21Structured3 marks

  Geetha has a box of toys. She picks a toy at random from the box. The probability that she picks a wooden toy is 0.6 .

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• Question 3May/June 2023, paper 41Structured13 marks

  The table shows information about the mass of each of 1000 eggs.

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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 9May/June 2024, paper 43Structured12 marks

  The diagram shows 7 cards. Amir picks a card at random. Find the probability that the card shows the letter H

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