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The special rule of multiplication of probability, the events must be

  • A.Independent
  • B.Mutually Exclusive
  • C.Bayesian
  • D.Empirical

Answer: A

The special rule of multiplication states that

\[ P(A \cap B) = P(A) \times P(B) \]

and this holds only when the events are independent - the occurrence of one leaving the probability of the other unchanged.

Mutual exclusivity belongs to the special rule of addition, \( P(A \cup B) = P(A) + P(B) \). The two conditions are quite different: mutually exclusive events with non-zero probabilities are in fact never independent, since one occurring makes the other impossible.

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