MathProbabilityEvents and probabilities

Bayes theorem

Bayes' theorem, simple form

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Choose the correct statements about the simple form of Bayes' formula:

$\mathbb{P}(A | B) = \dfrac{\mathbb{P}(B | A) \mathbb{P}(A)}{\mathbb{P}(B)}$

Select one or more options from the list

A and B can be exhaustive events, i.e., the union of A and B forms the sample space itself

The probability of event B can't be equal to zero

The probability of A must be less than the probability of B. Otherwise, P(A | B) can be greater than 1

Events A and B must be disjoint

Events A and B can be disjoint

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