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Conditional probability

concept
  • Requires → Probability
    EvidenceEditorial suggested sequence; verify the course context. [probability-statistics]
  • Leads to → Bayes theorem
    EvidenceEditorial suggested sequence; verify the course context. [probability-statistics]
  • Explanation → Conditional probability
    EvidenceCandidate from reviewed zh material v2: P(B|A) 被描述为 A 区域中也属于 B 的分数,P(A|B) 被描述为 B 区域中也属于 A 的分数。正方形图通过将一个比例嵌套在另一个比例中来使这一点精确化。
  • Explanation → Conditional probability
    EvidenceCandidate from reviewed en material v1: Restrict the sample space to A, then measure B within it. The formula requires P(A)>0. The events must be defined separately in each example.
  • Explanation → Conditional probability
    EvidenceCandidate from reviewed zh material v1: 把样本范围限制到A,再计算其中B的比例;公式要求P(A)>0。两个例题中须分别定义事件。
  • Explanation → Conditional probability
    EvidenceCandidate from reviewed en material v2: P(B|A) is described as the fraction of the A-region that also belongs to B, and P(A|B) as the fraction of the B-region that also belongs to A. The square diagrams make this precise by nesting one proportion inside another.

A quick proof of Bayes’ theorem | 3Blue1Brown

video
  • Content location → Conditional probability
    EvidenceCandidate from reviewed zh material v2: P(B|A) 被描述为 A 区域中也属于 B 的分数,P(A|B) 被描述为 B 区域中也属于 A 的分数。正方形图通过将一个比例嵌套在另一个比例中来使这一点精确化。
  • Content location → Conditional probability
    EvidenceCandidate from reviewed en material v2: P(B|A) is described as the fraction of the A-region that also belongs to B, and P(A|B) as the fraction of the B-region that also belongs to A. The square diagrams make this precise by nesting one proportion inside another.

Conditional probability

segment
  • Content location → A quick proof of Bayes’ theorem | 3Blue1Brown
    EvidenceCandidate from reviewed zh material v2: P(B|A) 被描述为 A 区域中也属于 B 的分数,P(A|B) 被描述为 B 区域中也属于 A 的分数。正方形图通过将一个比例嵌套在另一个比例中来使这一点精确化。
  • Explanation → Conditional probability
    EvidenceCandidate from reviewed zh material v2: P(B|A) 被描述为 A 区域中也属于 B 的分数,P(A|B) 被描述为 B 区域中也属于 A 的分数。正方形图通过将一个比例嵌套在另一个比例中来使这一点精确化。

Conditional probability: occupied boxes and sampling without replacement

video
  • Content location → Conditional probability
    EvidenceCandidate from reviewed en material v1: Restrict the sample space to A, then measure B within it. The formula requires P(A)>0. The events must be defined separately in each example.
  • Content location → Conditional probability
    EvidenceCandidate from reviewed zh material v1: 把样本范围限制到A,再计算其中B的比例;公式要求P(A)>0。两个例题中须分别定义事件。

Conditional probability

segment
  • Content location → Conditional probability: occupied boxes and sampling without replacement
    EvidenceCandidate from reviewed en material v1: Restrict the sample space to A, then measure B within it. The formula requires P(A)>0. The events must be defined separately in each example.
  • Explanation → Conditional probability
    EvidenceCandidate from reviewed en material v1: Restrict the sample space to A, then measure B within it. The formula requires P(A)>0. The events must be defined separately in each example.

Conditional probability

segment
  • Content location → A quick proof of Bayes’ theorem | 3Blue1Brown
    EvidenceCandidate from reviewed en material v2: P(B|A) is described as the fraction of the A-region that also belongs to B, and P(A|B) as the fraction of the B-region that also belongs to A. The square diagrams make this precise by nesting one proportion inside another.
  • Explanation → Conditional probability
    EvidenceCandidate from reviewed en material v2: P(B|A) is described as the fraction of the A-region that also belongs to B, and P(A|B) as the fraction of the B-region that also belongs to A. The square diagrams make this precise by nesting one proportion inside another.