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The denominator $P(B)$ is the marginal probability of the evidence. It acts as a normalizing constant that ensures the posterior probability $P(A \mid B)$ is a valid probability (i.e., between 0 and 1).

Conditions: $P(B) > 0$.; The events A and B are defined on the same sample space.

The denominator $P(B)$ is the marginal probability of the evidence. It acts as a normalizing constant that ensures the posterior probability $P(A \mid B)$ is a valid probability (i.e., between 0 and 1).

Conditions: $P(B) > 0$.; The events A and B are defined on the same sample space.