Lesson 2.03a

2.03a Mutually exclusive and independent events Quiz: OCR Maths, Unit 13

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 2.03a, Mutually exclusive and independent events: 20 multiple choice questions for the OCR Maths (H240), Unit 13: Probability, written with Revision Ninja.

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The 20 questions

  1. What formula calculates the probability of the complement of event A, denoted P(A')?

    • P(A)
    • 1 + P(A)
    • 1 - P(A)
    • 1 / P(A)

  2. If events A and B are mutually exclusive, what is the value of P(A ∩ B)?

    • P(A)P(B)
    • 0
    • 0.5
    • 1

  3. If A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.4, find P(A ∪ B).

    • 0.1
    • 0.12
    • 0.8
    • 0.7

  4. If A and B are independent events with P(A) = 0.5 and P(B) = 0.2, find P(A ∩ B).

    • 0
    • 0.1
    • 0.3
    • 0.7

  5. If the probability of event A occurring is 0.6, what is P(A')?

    • 0.6
    • 0.4
    • 0.5
    • 0.1

  6. Which equation defines independent events A and B in probability theory?

    • P(A ∪ B) = P(A)P(B)
    • P(A ∩ B) = P(A) + P(B)
    • P(A ∩ B) = P(A)P(B)
    • P(A ∩ B) = 0

  7. If P(A ∩ B) = 0 for two non-zero probability events, how are they described?

    • Exhaustive
    • Conditional
    • Mutually exclusive
    • Independent

  8. Given P(A) = 0.4, P(B) = 0.5, and P(A ∪ B) = 0.9, what are events A and B?

    • Mutually exclusive
    • Conditional
    • Complementary
    • Independent

  9. Given P(A) = 0.4, P(B) = 0.5, and P(A ∩ B) = 0.2, what are events A and B?

    • Exhaustive
    • Independent
    • Disjoint
    • Mutually exclusive

  10. Can two events with non-zero probabilities be both mutually exclusive and independent?

    • If P(A) = 0.5
    • Sometimes
    • Never
    • Always

  11. Rolling a fair six-sided die once, what is the probability of getting a 2 or 5?

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

  12. Tossing two fair coins, what is the probability of obtaining two heads?

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

  13. If independent events A and B have P(A) = 0.3 and P(B) = 0.6, find P(A ∪ B).

    • 0.72
    • 0.90
    • 0.18
    • 0.54

  14. For any event A, what is always the exact value of P(A) + P(A')?

    • 0.5
    • 2
    • 1
    • 0

  15. What does the mathematical notation P(A') represent in probability?

    • Expectation of A
    • Union of A
    • Intersection of A
    • Complement of A

  16. Events A and B are mutually exclusive. If P(A ∪ B) = 0.8 and P(A) = 0.5, find P(B).

    • 0.4
    • 1.3
    • 0.13
    • 0.3

  17. If independent events A and B have P(A) = 0.2 and P(B) = 0.5, find P(A' ∩ B').

    • 0.4
    • 0.7
    • 0.1
    • 0.3

  18. For any valid probability distribution of X, what is the sum of all P(X = x)?

    • 1
    • 100
    • 0.5
    • 0

  19. A random variable X has P(X=1) = 0.2, P(X=2) = 0.5, and P(X=3) = k. Find k.

    • 0.5
    • 0.7
    • 0.2
    • 0.3

  20. A discrete random variable X has P(X = x) = kx for x = 1, 2, 3. Find k.

    • 1/6
    • 1/5
    • 1/2
    • 1/3

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