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01 ·Probability & Statistics·★ MEMBER·PAPER·10 min read Bayes' Theorem in AI — Priors, Posteriors, and Uncertainty One line of math — Bayes' theorem — turns into three workhorse tools in real AI systems: probability calibration, active learning, and Bayesian optimization. Starting from a positive medical test, we build up priors, posteriors, and uncertainty with zero background assumed.