Lesson M1

M1 Mutually exclusive and independent events Quiz: AQA Maths, Unit 11

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson M1, Mutually exclusive and independent events: 20 multiple choice questions for the AQA Maths (7357), Unit 11: Statistics, written with Revision Ninja.

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The 20 questions

  1. Events A and B are mutually exclusive. Which statement is always true?

    • P(A) = P(B)
    • P(A or B) = 0
    • P(A given B) = P(A)
    • P(A and B) = 0

  2. Events A and B are independent. Which expression gives P(A and B)?

    • P(A) x P(B)
    • P(A) + P(B)
    • P(A) + P(B) - P(A) x P(B)
    • P(A) / P(B)

  3. For mutually exclusive events A and B, which formula gives P(A or B)?

    • P(A) + P(B)
    • P(A) / P(B)
    • P(A) + P(B) - P(A) x P(B)
    • P(A) x P(B)

  4. Two events A and B both have non-zero probability. Which statement is correct?

    • Independent events are always mutually exclusive
    • Mutually exclusive events are always independent
    • They are always both mutually exclusive and independent
    • They cannot be both mutually exclusive and independent

  5. P(A) = 0.4 and P(B) = 0.25, with A and B independent. What is P(A and B)?

    • 0.15
    • 0.65
    • 0.10
    • 0.04

  6. P(A) = 0.6 and P(B) = 0.2, with A and B mutually exclusive. What is P(A or B)?

    • 0.12
    • 0.68
    • 0.40
    • 0.80

  7. P(A) = 0.3 and P(B) = 0.6, with A and B independent. What is P(A or B)?

    • 0.42
    • 0.90
    • 0.72
    • 0.18

  8. P(A) = 0.5, P(B) = 0.4 and P(A or B) = 0.7. Which conclusion is correct?

    • A and B are mutually exclusive since P(A or B) is less than 1
    • A and B are not independent since P(A) + P(B) is greater than 1
    • A and B are independent since P(A and B) = 0.2 = P(A) x P(B)
    • A and B are not independent since P(A and B) = 0.2 is not zero

  9. A fair coin is tossed and a fair six-sided die is rolled. What is the probability of a head and a six?

    • 1/6
    • 1/2
    • 7/12
    • 1/12

  10. One card is drawn from a standard 52-card pack. What is the probability it is a king or a queen?

    • 1/26
    • 2/13
    • 4/13
    • 1/13

  11. P(A) = 0.2 and P(B) = 0.3, with A and B independent. What is the probability that neither A nor B occurs?

    • 0.50
    • 0.06
    • 0.56
    • 0.44

  12. A and B are independent with P(A) = 0.5 and P(B) = 0.2. What is P(A or B)?

    • 0.30
    • 0.70
    • 0.60
    • 0.10

  13. Events A and B are independent with P(A) = 0.9 and P(B) = 0.8. What is the probability that exactly one of them occurs?

    • 0.72
    • 0.98
    • 0.74
    • 0.26

  14. P(A) = 0.7, P(B) = 0.5 and P(A and B) = 0.35. Which statement is correct?

    • A and B are independent because P(A and B) = P(A) x P(B)
    • A and B are mutually exclusive because P(A and B) is positive
    • A and B are independent since P(A or B) = P(A) + P(B)
    • A and B are not independent since P(A) + P(B) is greater than 1

  15. Events A and B are independent, with P(A) = p and P(B) = q. Which expression gives P(A or B)?

    • pq
    • p + q
    • p + q - 2pq
    • p + q - pq

  16. Events A, B and C are mutually independent with P(A) = 0.5, P(B) = 0.4 and P(C) = 0.1. What is the probability that all three occur?

    • 0.001
    • 0.100
    • 0.050
    • 0.020

  17. Two fair six-sided dice are rolled. Let A be the event the first score is even and B the event the total is 7. Are A and B independent?

    • Yes, since P(A and B) = 1/12 = P(A) x P(B)
    • Yes, since P(B) = 1/2
    • No, since P(A and B) = 1/6
    • No, since A and B are mutually exclusive

  18. P(A) = 0.3, P(B) = 0.4 with A and B mutually exclusive. Event C is independent of A with P(C) = 0.5. What is P(A and C)?

    • 0.07
    • 0.00
    • 0.35
    • 0.15

  19. A and B are mutually exclusive with P(A) = 0.25 and P(B) = 0.5. What is the probability that neither A nor B occurs?

    • 0.125
    • 0.75
    • 0.25
    • 0.375

  20. A and B are independent with P(A) = 0.2 and P(A or B) = 0.44. What is P(B)?

    • 0.40
    • 0.30
    • 0.55
    • 0.24

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