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The multiplication rule

Exercise and reference answers

Questions
  1. Question
    P(E ∩ F) equals
    Choices
    1. P(E) + P(F|E)
    2. P(E) ÷ P(F)
    3. P(E) P(F|E)
    Correct choice
    P(E) P(F|E)
  2. Question
    P(E ∩ F) also equals
    Choices
    1. P(F) P(E|F)
    2. P(F) − P(E)
    3. P(E|F)
    Correct choice
    P(F) P(E|F)
  3. Question
    The multiplication rule needs
    Choices
    1. the events to be independent
    2. the conditioning event to have nonzero probability
    3. a partition
    Correct choice
    the conditioning event to have nonzero probability

Explanation

Two forms of the same rule, depending on which event you condition on. Source: syllabus Maths Part II, Ch 13 Probability.
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