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Independence

Exercise and reference answers

Questions
  1. Question
    If E and F are independent, P(E ∩ F) equals
    Choices
    1. P(E) + P(F)
    2. P(E) P(F)
    3. 0
    Correct choice
    P(E) P(F)
  2. Question
    If E and F are independent, P(E|F) equals
    Choices
    1. P(F)
    2. 1
    3. P(E)
    Correct choice
    P(E)
  3. Question
    If E and F are independent, P(F|E) equals
    Choices
    1. P(F)
    2. P(E)
    3. 0
    Correct choice
    P(F)
  4. Question
    Mutually exclusive events have P(E ∩ F) equal to
    Choices
    1. P(E)P(F)
    2. 0
    3. 1
    Correct choice
    0

Explanation

Independence can be written three equivalent ways, and your syllabus lists all three. Source: syllabus Maths Part II, Ch 13 Probability.
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