Probability: past paper questions

Where the questions come from

• 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 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 5May/June 2026, paper 23Structured2 marks

  Reem has a six-sided spinner numbered 1 to 6. Reem spins the spinner 50 times. Her results are shown in the table.

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• 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 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 4Oct/Nov 2023, paper 41Structured11 marks

  Lucia has two fair spinners. Spinner $A$ is five-sided and is numbered 1, 2, 3, 4, 5. Spinner $B$ is nine-sided and is numbered 3, 3, 3, 4, 4, 4, 4, 5, 5.

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• Question 27May/June 2026, paper 23Structured4 marks

  Juan has a bag containing 2 red counters, 3 green counters and 5 blue counters. Juan picks two counters from the bag at random, without replacement. Find the probability that the two counters are different colours.

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• Question 11Oct/Nov 2025, paper 23Structured2 marks

  Sarah rolls a fair 6-sided dice twice. Find the probability she rolls a number greater than 4 both times.

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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 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 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 5Oct/Nov 2023, paper 43Structured14 marksHas a diagram

  Indira records the time taken for workers in her company to travel to work. The table and the histogram each show part of this information.

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• Question 16Oct/Nov 2025, paper 42Structured8 marksHas a diagram

  The histogram shows information about the masses of some coconuts. The masses are classified into four categories $A$, $B$, $C$ and $D$. Show that there are 10 coconuts in category $D$.

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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 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 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 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 15May/June 2023, paper 21Structured3 marks

  A bag contains 5 green buttons, 2 blue buttons and 6 white buttons. Maya takes two buttons at random from the bag, without replacement. Calculate the probability that one button is green and the other button is not green.

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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 22May/June 2024, paper 21Structured4 marks

  Bag $A$ and bag $B$ each contain red counters and blue counters only. Stephan picks a counter at random from bag $A$ and Jen picks a counter at random from bag $B$. The probability that Stephan picks a red counter is 0.4 .

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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 11May/June 2024, paper 22Structured2 marks

  A company surveys 40 of its employees. In the survey, 3 employees say they walk to work. The company has a total of 1240 employees.

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• Question 23May/June 2023, paper 22Structured3 marks

  Bag $A$ and bag $B$ each contain red sweets and yellow sweets. Anna picks a sweet at random from bag $A$. Ben picks a sweet at random from bag $B$.

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

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

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