Bayesian methods use Bayes' Theorem to update the probability of a hypothesis. The theorem can be mathematically represented as: P(H|D) = [P(D|H) * P(H)] / P(D) Here, P(H|D) is the posterior probability of the hypothesis H given data D, P(D|H) is the likelihood of data D given hypothesis H, P(H) is the prior probability of H, and P(D) is the marginal likelihood of D.
