S3.1.1 Mutually exclusive and independent events Quiz: Pearson Edexcel Maths, Unit 13

The 20 questions

1. What is P(A or B) for mutually exclusive events A and B?

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

2. What is P(A and B) for mutually exclusive events A and B with non-zero probability?

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

3. What is the condition for independent events A and B regarding P(A and B)?

   • 0
   • P(A) * P(B)
   • P(A) - P(B)
   • P(A) + P(B)

4. If A and B are independent, what is P(A | B)?

   • P(A)
   • P(B)
   • 1
   • 0

5. Which type of events cannot occur simultaneously in a single trial?

   • Mutually exclusive
   • Conditional
   • Exhaustive
   • Independent

6. What must the sum of probabilities of all mutually exclusive and exhaustive events be?

   • Infinity
   • 1
   • 0.5
   • 0

7. What does P(A U B) represent in set notation and probability?

   • Condition
   • Intersection
   • Complement
   • Union

8. What does P(A n B) represent in probability notation?

   • Intersection
   • Conditional
   • Complement
   • Union

9. If P(A) = 0.4 and P(B) = 0.5, and they are mutually exclusive, what is P(A or B)?

   • 0.2
   • 0.9
   • 0.5
   • 0.1

10. If P(A) = 0.4 and P(B) = 0.5, and they are independent, what is P(A and B)?

    • 0.45
    • 0.9
    • 0.2
    • 0.1

11. If two events are independent, what must their respective complement events also be?

    • Dependent
    • Exhaustive
    • Mutually exclusive
    • Independent

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

    • Always
    • Only when P=1
    • Yes
    • No

13. If P(A) = 0.3, what is the probability of its complement P(A')

    • 0.0
    • 1.0
    • 0.7
    • 0.3

14. What is P(A | A) for any event A with P(A) > 0?

    • 0
    • P(A)
    • 0.5
    • 1

15. For any two events A and B, what is the general addition law formula for P(A or B)?

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

16. If P(A or B) = 0.7, P(A) = 0.4 and P(B) = 0.4, what is P(A and B)?

    • 0.8
    • 0.16
    • 0.3
    • 0.1

17. If P(A and B) = 0.15 and P(B) = 0.6, what is the conditional probability P(A | B)?

    • 0.75
    • 0.25
    • 0.4
    • 0.09

18. If P(A | B) = P(A), what must be true about events A and B?

    • Mutually exclusive
    • Exhaustive
    • Independent
    • Complements

19. What is the intersection of an event A and its complement A'?

    • Empty set
    • Sample space
    • 1
    • Event A

20. If two dice are rolled, are the scores on each die generally independent events?

    • No
    • Yes
    • Only on doubles
    • Only if summed

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