Conditional probability and tree and Venn diagrams

Conditional probability and tree and Venn diagrams Quiz

Spec 3.2 · Edexcel A-Level Maths: Quiz

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  1. 1. 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. 0.0480.048
    • B. 0.30.3
    • C. 0.520.52
    • D. 0.120.12

  2. 2. P(A)=0.5P(A)=0.5, P(B)=0.3P(B)=0.3 and P(A∪B)=0.6P(A\cup B)=0.6. Find P(A∩B)P(A\cap B).

    • A. 0.20.2
    • B. 0.80.8
    • C. 0.150.15
    • D. 0.10.1

  3. 3. A bag has 4 red and 6 blue counters. Two are drawn without replacement. Find P(second red∣first red)P(\text{second red}\mid\text{first red}).

    • A. 410\frac{4}{10}
    • B. 49\frac{4}{9}
    • C. 39\frac{3}{9}
    • D. 310\frac{3}{10}

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

    • A. 0.50.5
    • B. 0.830.83
    • C. 1.11.1
    • D. 0.30.3

  5. 5. P(A∩B)=0.1P(A\cap B)=0.1, P(B)=0.4P(B)=0.4 and P(A)=0.3P(A)=0.3. Find P(B∣A′)P(B\mid A').

    • A. 37\frac{3}{7}
    • B. 34\frac{3}{4}
    • C. 14\frac14
    • D. 310\frac{3}{10}

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