Requires → ProbabilityEvidenceEditorial suggested sequence; verify the course context. [probability-statistics]
Leads to → Binomial distributionEvidenceEditorial suggested sequence; verify the course context. [probability-statistics]
Leads to → Law of large numbersEvidenceEditorial suggested sequence; verify the course context. [probability-statistics]
Leads to → Central limit theoremEvidenceEditorial suggested sequence; verify the course context. [probability-statistics]
Explanation → IndependenceEvidenceCandidate 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.
Explanation → IndependenceEvidenceCandidate 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。
Content location → IndependenceEvidenceCandidate 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.
Content location → IndependenceEvidenceCandidate 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。
Content location → A quick proof of Bayes’ theorem | 3Blue1BrownEvidenceCandidate 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.
Explanation → IndependenceEvidenceCandidate 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.
Content location → A quick proof of Bayes’ theorem | 3Blue1BrownEvidenceCandidate 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。
Explanation → IndependenceEvidenceCandidate 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