4.6 Combined events and conditional probability

4.6 Combined events and conditional probability Quiz

IB Maths: Applications and Interpretation HL: Quiz

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  1. 1. 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. Find P(A∪B)P(A\cup B).

    • A. 0.90.9
    • B. 0.70.7
    • C. 0.20.2
    • D. 0.10.1

  2. 2. AA and BB are mutually exclusive with P(A)=0.3P(A)=0.3 and P(B)=0.45P(B)=0.45. Find P(A∪B)P(A\cup B).

    • A. 0.1350.135
    • B. 0.150.15
    • C. 0.250.25
    • D. 0.750.75

  3. 3. P(A∩B)=0.12P(A\cap B)=0.12 and P(B)=0.4P(B)=0.4. Find P(A∣B)P(A\mid B).

    • A. 0.30.3
    • B. 0.480.48
    • C. 0.120.12
    • D. 0.030.03

  4. 4. AA and BB are independent with P(A)=0.6P(A)=0.6 and P(B)=0.5P(B)=0.5. Find P(A∩B)P(A\cap B).

    • A. 0.10.1
    • B. 1.11.1
    • C. 0.30.3
    • D. 0.550.55

  5. 5. A bag has 3 red and 2 blue counters. Two are drawn without replacement. Find the probability that both are blue.

    • A. 425\frac{4}{25}
    • B. 110\frac{1}{10}
    • C. 25\frac{2}{5}
    • D. 15\frac{1}{5}

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