Mutually exclusive and independent events

Mutually exclusive and independent events Quiz

Spec M1 · AQA A-Level Maths: Quiz

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  1. 1. AA and BB are mutually exclusive with P(A)=0.3P(A)=0.3 and P(B)=0.5P(B)=0.5. Find P(A∪B)P(A\cup B).

    • A. 0.150.15
    • B. 0.80.8
    • C. 0.20.2
    • D. 0.650.65

  2. 2. AA and BB are independent with P(A)=0.4P(A)=0.4 and P(B)=0.25P(B)=0.25. Find P(A∩B)P(A\cap B).

    • A. 0.10.1
    • B. 0.650.65
    • C. 0.150.15
    • D. 0.40.4

  3. 3. P(A)=0.6P(A)=0.6, P(B)=0.3P(B)=0.3 and P(A∪B)=0.7P(A\cup B)=0.7. Which statement is correct?

    • A. The events are mutually exclusive
    • B. The events are independent
    • C. The events are both mutually exclusive and independent
    • D. The events are not independent

  4. 4. For a continuous random variable, P(X<2)=0.3P(X<2)=0.3 and P(X>5)=0.2P(X>5)=0.2. Find P(X<2 or X>5)P(X<2\text{ or }X>5).

    • A. 0.060.06
    • B. 0.440.44
    • C. 0.50.5
    • D. 0.10.1

  5. 5. Two events each have non-zero probability and are mutually exclusive. Are they independent?

    • A. Yes, always
    • B. No, never
    • C. Only if both probabilities are 0.50.5
    • D. Only if their union has probability 1

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