Bayes' theorem follows directly from the definition of conditional probability: P(A|B) = P(A∩B)/P(B) and P(B|A) = P(A∩B)/P(A), equating the expressions for P(A∩B).
Explanation:
Geometric mean = (4 × 9 × 16)^(1/3) = (576)^(1/3) = 8. It is the nth root of the product of n observations, useful for averaging ratios or growth rates.
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