Mutually exclusive and independent events

Mutually exclusive and independent events Quiz

Spec 3.1 · Edexcel A-Level Maths: Quiz

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  1. 1. AA and BB are mutually exclusive with P(A)=0.2P(A)=0.2 and P(B)=0.35P(B)=0.35. Find P(A∪B)P(A\cup B).

    • A. 0.070.07
    • B. 0.150.15
    • C. 0.550.55
    • D. 0.480.48

  2. 2. P(A)=0.5P(A)=0.5, P(B)=0.4P(B)=0.4 and P(A∩B)=0.2P(A\cap B)=0.2. Which statement is true?

    • A. AA and BB are mutually exclusive
    • B. AA and BB are independent
    • C. AA and BB are neither mutually exclusive nor independent
    • D. AA and BB are both mutually exclusive and independent

  3. 3. XX and YY are independent with P(X)=0.3P(X)=0.3 and P(Y)=0.6P(Y)=0.6. Find P(X′∩Y)P(X'\cap Y).

    • A. 0.180.18
    • B. 0.90.9
    • C. 0.120.12
    • D. 0.420.42

  4. 4. If P(B∣A)=P(B)P(B\mid A)=P(B), what can you conclude?

    • A. AA and BB are mutually exclusive
    • B. P(A∩B)=0P(A\cap B)=0
    • C. AA and BB are independent
    • D. P(A)=P(B)P(A)=P(B)

  5. 5. P(C∪D)=0.76P(C\cup D)=0.76, P(C)=0.4P(C)=0.4 and P(D)=0.6P(D)=0.6. Are CC and DD independent?

    • A. Yes, since P(C∩D)=0.24=P(C)P(D)P(C\cap D)=0.24=P(C)P(D)
    • B. No, since P(C∩D)=0P(C\cap D)=0
    • C. No, since P(C∩D)=0.76P(C\cap D)=0.76
    • D. Yes, since P(C)+P(D)=1P(C)+P(D)=1

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