4.11 Formal conditional probability and independence

4.11 Formal conditional probability and independence Quiz

IB Maths: Analysis and Approaches HL: Quiz

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  1. 1. P(A)=0.6P(A)=0.6, P(B)=0.25P(B)=0.25, P(A∩B)=0.15P(A\cap B)=0.15. Find P(B∣A)P(B\mid A).

    • A. 0.250.25
    • B. 0.60.6
    • C. 0.090.09
    • D. 0.150.15

  2. 2. P(B)=0.4P(B)=0.4 and P(A∣B)=0.3P(A\mid B)=0.3. Find P(A∩B)P(A\cap B).

    • A. 0.750.75
    • B. 0.120.12
    • C. 0.70.7
    • D. 0.10.1

  3. 3. P(A)=0.5P(A)=0.5, P(B)=0.2P(B)=0.2, P(A∩B)=0.1P(A\cap B)=0.1. Find P(A∣B′)P(A\mid B').

    • A. 0.50.5
    • B. 0.40.4
    • C. 0.6250.625
    • D. 0.80.8

  4. 4. AA and BB are mutually exclusive with P(A)=0.3P(A)=0.3 and P(B)=0.4P(B)=0.4. Which statement is true?

    • A. AA and BB are independent
    • B. P(A∣B)=0.3P(A\mid B)=0.3
    • C. P(A∣B)=0P(A\mid B)=0
    • D. P(A∩B)=0.12P(A\cap B)=0.12

  5. 5. Which of these shows that AA and BB are independent?

    • A. P(A∩B)=0P(A\cap B)=0
    • B. P(A∣B)=P(B∣A)P(A\mid B)=P(B\mid A)
    • C. P(A∣B)=P(A∣B′)P(A\mid B)=P(A\mid B')
    • D. P(A)+P(B)=1P(A)+P(B)=1

Quiz