4.6 Combined, conditional and independent events

4.6 Combined, conditional and independent events Quiz

IB Maths: Analysis and Approaches HL: Quiz

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  1. 1. P(A)=0.6P(A) = 0.6, P(B)=0.5P(B) = 0.5 and P(A∩B)=0.3P(A \cap B) = 0.3. Find P(A∣B)P(A \mid B).

    • A. 0.5
    • B. 0.6
    • C. 0.3
    • D. 0.15

  2. 2. P(A)=0.3P(A) = 0.3, P(B)=0.4P(B) = 0.4, and AA and BB are mutually exclusive. Find P(A∪B)P(A \cup B).

    • A. 0.12
    • B. 0.58
    • C. 0.7
    • D. 1

  3. 3. P(A)=0.2P(A) = 0.2, P(B)=0.5P(B) = 0.5, P(A∩B)=0.1P(A \cap B) = 0.1. Which is true?

    • A. A and B are mutually exclusive
    • B. A and B are independent
    • C. P(A ∪ B) = 0.7
    • D. P(A | B) = 0.5

  4. 4. A bag has 4 green and 6 yellow sweets. Two are eaten without replacement. P(both green)?

    • A. 425\frac{4}{25}
    • B. 215\frac{2}{15}
    • C. 415\frac{4}{15}
    • D. 325\frac{3}{25}

  5. 5. The probability a train is late is 0.2 each day, independently. Find P(late on at least one of 2 days).

    • A. 0.4
    • B. 0.04
    • C. 0.36
    • D. 0.64

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