Lesson T5.2.2

T5.2.2 Sample spaces and theoretical probability Quiz: KS3 Maths, Unit 5

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson T5.2.2, Sample spaces and theoretical probability: 20 multiple choice questions for the KS3 Maths (National Curriculum), Unit 5: Probability, written with Revision Ninja.

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The 20 questions

  1. What is the sample space when a single coin is tossed?

    • {Heads, Tails}
    • {1, 2}
    • {Heads}
    • {Heads, Tails, Edge}

  2. A fair six-sided die is rolled. What is P(4)?

    • 4/6
    • 1/4
    • 1/6
    • 1/3

  3. When two coins are tossed, how many outcomes are in the sample space?

    • 8
    • 4
    • 2
    • 3

  4. When two coins are tossed, what is P(two heads)?

    • 1/8
    • 1/2
    • 1/3
    • 1/4

  5. A fair die is rolled. What is P(a prime number)?

    • 1/3
    • 1/6
    • 1/2
    • 2/3

  6. A fair die is rolled. What is P(a number greater than 4)?

    • 1/2
    • 2/3
    • 1/3
    • 1/6

  7. A spinner has 8 equal sections and 3 are blue. What is P(blue)?

    • 1/8
    • 3/8
    • 3/5
    • 5/8

  8. How many outcomes are in the sample space when two dice are rolled?

    • 36
    • 64
    • 12
    • 6

  9. A bag has 4 red and 6 green counters. What is P(green)?

    • 6/4
    • 3/4
    • 2/5
    • 3/5

  10. P(rain) = 0.3. What is P(no rain)?

    • 0.03
    • 0.7
    • 0.4
    • 0.3

  11. What does it mean for outcomes to be mutually exclusive?

    • They always happen together in the same trial
    • They have equal probability of happening
    • They repeat each other on every single trial
    • They cannot happen at the same time

  12. What does it mean for outcomes to be equally likely?

    • The outcomes add up to 2
    • The outcomes are estimated from data
    • Each outcome has the same probability
    • The outcomes are impossible

  13. A letter is chosen from A, B and C, and then a number from 1 or 2. How many outcomes are in the combined sample space?

    • 9
    • 5
    • 3
    • 6

  14. Two coins are tossed. What is P(at least one head)?

    • 1
    • 3/4
    • 1/4
    • 1/2

  15. A fair die and a fair coin are used together. What is P(a 6 and heads)?

    • 1/8
    • 1/2
    • 1/6
    • 1/12

  16. A bag contains 5 red, 3 blue and 2 yellow counters. What is P(not blue)?

    • 7/10
    • 3/7
    • 3/10
    • 5/10

  17. Two fair dice are rolled. What is P(total of 7)?

    • 1/6
    • 7/36
    • 1/7
    • 1/12

  18. Two fair dice are rolled. What is P(total of at least 10)?

    • 1/12
    • 1/6
    • 1/3
    • 1/9

  19. A raffle has 200 tickets and you buy 5. If one ticket wins, what is your chance of winning?

    • 1/200
    • 1/20
    • 1/40
    • 1/5

  20. A fair coin is tossed three times. What is P(three heads in a row)?

    • 3/8
    • 1/8
    • 1/6
    • 1/3

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