2.03a Probability rules Quiz: OCR Maths, Unit 13

The 20 questions

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

   • P(A) + P(B)
   • P(A) x P(B)
   • 0
   • 1

2. Independent events satisfy which relationship?

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

3. What is P(A') in terms of P(A)?

   • 1 - P(A)
   • 1/P(A)
   • P(A)^2
   • P(A) - 1

4. What is the general addition rule for P(A or B)?

   • P(A) P(B)
   • P(A) + P(B) + P(A and B)
   • P(A) + P(B)
   • P(A) + P(B) - P(A and B)

5. In probability notation, what does P(X = 2) represent?

   • Probability X equals 2
   • X given 2
   • Variance of X
   • Mean of X

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

   • No
   • Only if probabilities equal 1
   • Yes
   • Only if probabilities equal 0.5

7. For mutually exclusive events A and B, what is P(A or B)?

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

8. P(A) = 0.3 and P(B) = 0.4, with A and B mutually exclusive. What is P(A or B)?

   • 0.85
   • 0.7
   • 0.58
   • 0.1

9. P(A) = 0.3 and P(B) = 0.4, with A and B independent. What is P(A and B)?

   • 0.12
   • 0.58
   • 0.7
   • 0.1

10. P(A) = 0.4 and P(B) = 0.35, with A and B independent. What is P(A or B)?

    • 0.61
    • 0.65
    • 0.75
    • 0.14

11. If P(A') = 0.72, what is P(A)?

    • 0.28
    • 1.72
    • 0.52
    • 0.72

12. If P(A) = 0.5, P(B) = 0.4, and P(A and B) = 0.2, how are A and B classified?

    • Dependent
    • Mutually exclusive
    • Independent
    • Complementary

13. What is the probability of an even number or a number greater than 4 on a fair six-sided die?

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

14. Two fair coins are tossed independently. What is the probability of two heads?

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

15. A card is drawn from a standard 52-card pack. What is P(red or king)?

    • 7/13
    • 4/13
    • 1/2
    • 15/26

16. P(A) = 0.6 and P(B) = 0.5, and P(A or B) = 0.8. What is P(A and B)?

    • 0.1
    • 0.3
    • 1.1
    • 0.4

17. If P(A) = 0.2, P(B) = 0.3, and P(A or B) = 0.5, how are A and B classified?

    • Independent
    • Complementary
    • Mutually exclusive
    • Conditional

18. P(A or B) = 0.65. What is the probability that neither A nor B occurs?

    • 0.35
    • 0.25
    • 1.65
    • 0.65

19. Three independent events have probabilities 0.5, 0.4 and 0.2. What is the probability that all three occur?

    • 0.4
    • 0.2
    • 0.1
    • 0.04

20. Events A and B are independent with P(A) = 0.7 and P(B) = 0.6. What is the probability that neither occurs?

    • 0.12
    • 0.42
    • 0.3
    • 0.58

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