Bayes' Theorem can be mathematically expressed as: P(A|B) = [P(B|A) * P(A)] / P(B) Where:
P(A|B) is the posterior probability, the probability of event A occurring given that B is true. P(B|A) is the probability of event B occurring given that A is true, also known as the likelihood. P(A) is the probability of event A occurring, also known as the prior probability. P(B) is the probability of event B occurring.