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Probabilities that sum to 1: OCR GCSE Maths questions

Every OCR GCSE Maths exam question on P4 Probabilities that sum to 1, 2017–2025, with its mark scheme and examiner’s report.

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  1. Q6

    November 2024 · Paper 5

    The whole paper ↗
    November 2024 Paper 5, question 6: Jack has ten cards numbered 11 to 20. He picks a card at random. Jack says, In these ten cards, there are two multiples of 5 and five even numbers. Therefore, t
  2. Q4

    November 2022 · Paper 6

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    November 2022 Paper 6, question 4: Sam and Taylor are playing a game against a computer. They can win, draw or lose the game. Sam says I think the probability of us winning the game is 0.3. Taylo
  3. Q6

    June 2022 · Paper 5

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    June 2022 Paper 5, question 6: Morgan is playing a computer game. They can score 0, 1, 2 or 3 points on each turn. They record their scores for 100 turns. The table shows the relative frequen
  4. June 2022 Paper 5, question 8: A bag only contains red marbles, blue marbles and yellow marbles. 2 . • The probability of picking a red marble is 5 • There are nine yellow marbles. • The prob
  5. Q4

    November 2020 · Paper 5

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    November 2020 Paper 5, question 4: Dora has the following number cards. 2 2 3 5 6 She takes a card at random, replaces the card and then takes a second card. She adds the numbers on the two cards
  6. Q8

    November 2020 · Paper 5

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    November 2020 Paper 5, question 8: A weather forecast says • the probability that it will rain on Monday is 0.55 and • the probability that it will rain on Tuesday is 0.25. Ella draws a tree diag
  7. Q6

    June 2019 · Paper 6

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    June 2019 Paper 6, question 6: A bag contains some counters. • There are 300 counters in the bag. • There are only red, white and blue counters in the bag. 23 . • The probability of picking a
  8. Q3

    November 2018 · Paper 5

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    November 2018 Paper 5, question 3: Geoff has two fair spinners. 1 7 2 3 9 5 4 Spinner A Spinner B He spins both spinners and multiplies the numbers on each spinner. (a) Complete the table. Spinne
  9. Q5

    June 2018 · Paper 5

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    June 2018 Paper 5, question 5: The table shows the relative frequencies of the results for a football team after a number of games. Result of game won lost drew Relative frequency 0.2 0.45 (a
  10. Q6

    June 2017 · Paper 6

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    June 2017 Paper 6, question 6: (a) This is a fair 5-sided spinner. 1 2 2 4 3 Ciara spins the spinner twice and records the product of the two scores. (i) Complete the table. First spin x 1 2
All 10 questions on Probabilities that sum to 1, as a list
  1. November 2024, Paper 5, Q6 (2 marks): Jack has ten cards numbered 11 to 20. He picks a card at random. Jack says, In these ten cards, there are two multiples of 5 and five even numbers. Therefore, t
  2. November 2022, Paper 6, Q4 (6 marks): Sam and Taylor are playing a game against a computer. They can win, draw or lose the game. Sam says I think the probability of us winning the game is 0.3. Taylo
  3. June 2022, Paper 5, Q6 (6 marks): Morgan is playing a computer game. They can score 0, 1, 2 or 3 points on each turn. They record their scores for 100 turns. The table shows the relative frequen
  4. June 2022, Paper 5, Q8 (5 marks): A bag only contains red marbles, blue marbles and yellow marbles. 2 . • The probability of picking a red marble is 5 • There are nine yellow marbles. • The prob
  5. November 2020, Paper 5, Q4 (5 marks): Dora has the following number cards. 2 2 3 5 6 She takes a card at random, replaces the card and then takes a second card. She adds the numbers on the two cards
  6. November 2020, Paper 5, Q8 (3 marks): A weather forecast says • the probability that it will rain on Monday is 0.55 and • the probability that it will rain on Tuesday is 0.25. Ella draws a tree diag
  7. June 2019, Paper 6, Q6 (4 marks): A bag contains some counters. • There are 300 counters in the bag. • There are only red, white and blue counters in the bag. 23 . • The probability of picking a
  8. November 2018, Paper 5, Q3 (3 marks): Geoff has two fair spinners. 1 7 2 3 9 5 4 Spinner A Spinner B He spins both spinners and multiplies the numbers on each spinner. (a) Complete the table. Spinne
  9. June 2018, Paper 5, Q5 (5 marks): The table shows the relative frequencies of the results for a football team after a number of games. Result of game won lost drew Relative frequency 0.2 0.45 (a
  10. June 2017, Paper 6, Q6 (7 marks): (a) This is a fair 5-sided spinner. 1 2 2 4 3 Ciara spins the spinner twice and records the product of the two scores. (i) Complete the table. First spin x 1 2

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