前置知识 → 概率依据Editorial suggested sequence; verify the course context. [probability-statistics]
后续学习 → 二项分布依据Editorial suggested sequence; verify the course context. [probability-statistics]
后续学习 → 大数定律依据Editorial suggested sequence; verify the course context. [probability-statistics]
后续学习 → 中心极限定理依据Editorial suggested sequence; verify the course context. [probability-statistics]
讲解 → 独立性依据Candidate from reviewed en material v2: Events are independent when their joint probability equals the product of their marginal probabilities. When A has positive probability, this is equivalent to P(B|A)=P(B). Independence is not confined to coins or dice, and fairness alone does not establish independence.
讲解 → 独立性依据Candidate from reviewed zh material v2: 当事件的联合概率等于其边缘概率的乘积时，这些事件是独立的。当 A 具有正概率时，这等价于 P(B|A)=P(B)。独立性不仅限于硬币或骰子，仅凭公平性并不能确立独立性。
内容位置 → 独立性依据Candidate from reviewed en material v2: Events are independent when their joint probability equals the product of their marginal probabilities. When A has positive probability, this is equivalent to P(B|A)=P(B). Independence is not confined to coins or dice, and fairness alone does not establish independence.
内容位置 → 独立性依据Candidate from reviewed zh material v2: 当事件的联合概率等于其边缘概率的乘积时，这些事件是独立的。当 A 具有正概率时，这等价于 P(B|A)=P(B)。独立性不仅限于硬币或骰子，仅凭公平性并不能确立独立性。
内容位置 → 贝叶斯定理的简洁证明｜3Blue1Brown依据Candidate from reviewed en material v2: Events are independent when their joint probability equals the product of their marginal probabilities. When A has positive probability, this is equivalent to P(B|A)=P(B). Independence is not confined to coins or dice, and fairness alone does not establish independence.
讲解 → 独立性依据Candidate from reviewed en material v2: Events are independent when their joint probability equals the product of their marginal probabilities. When A has positive probability, this is equivalent to P(B|A)=P(B). Independence is not confined to coins or dice, and fairness alone does not establish independence.
内容位置 → 贝叶斯定理的简洁证明｜3Blue1Brown依据Candidate from reviewed zh material v2: 当事件的联合概率等于其边缘概率的乘积时，这些事件是独立的。当 A 具有正概率时，这等价于 P(B|A)=P(B)。独立性不仅限于硬币或骰子，仅凭公平性并不能确立独立性。
讲解 → 独立性依据Candidate from reviewed zh material v2: 当事件的联合概率等于其边缘概率的乘积时，这些事件是独立的。当 A 具有正概率时，这等价于 P(B|A)=P(B)。独立性不仅限于硬币或骰子，仅凭公平性并不能确立独立性。
math