前置知识 → 条件概率依据Editorial suggested sequence; verify the course context. [probability-statistics]
讲解 → 贝叶斯定理的简洁证明｜3Blue1Brown依据Candidate from reviewed en material v2: Two ways to measure the same overlap lead directly to Bayes’ theorem. This complete visual proof starts with conditional proportions and rearranges the joint-probability identity, then tests the common shortcut of multiplying marginal probabilities. Coin, die and sibling examples explain why independence is an assumption to check. The final testing illustration combines a prior, a likelihood and the probability of a positive result. The accompanying notes state positive-probability conditions and distinguish an illustrative model from real medical data.
讲解 → 贝叶斯定理依据Candidate from reviewed zh material v2: 贝叶斯定理可由联合概率恒等式直接变形得到：A、B 同时发生的交集概率，可以按两种条件顺序计算。
讲解 → 贝叶斯定理依据Candidate from reviewed en material v2: Two ways to measure the same overlap lead directly to Bayes’ theorem. This complete visual proof starts with conditional proportions and rearranges the joint-probability identity, then tests the common shortcut of multiplying marginal probabilities. Coin, die and sibling examples explain why independence is an assumption to check. The final testing illustration combines a prior, a likelihood and the probability of a positive result. The accompanying notes state positive-probability conditions and distinguish an illustrative model from real medical data.
内容位置 → 贝叶斯定理依据Candidate from reviewed zh material v2: 贝叶斯定理可由联合概率恒等式直接变形得到：A、B 同时发生的交集概率，可以按两种条件顺序计算。
math