3.6: 章节公式回顾

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3.1 术语

A 和 B 是事件

$P(S) = 1$ 样本空间在哪里 $S$

$0 ≤ P(A) ≤ 1$

$P(A | B)=\frac{P(A \cap B)}{P(B)}$

$\text {If } A \text { and } B \text { are independent, } P(A \cap B)=P(A) P(B), P(A | B)=P(A) \text { and } P(B | A)=P(B)$

$\text {If } A \text { and } B \text { are mutually exclusive, } P(A \cup B)=P(A)+P(B) \text { and } P(A \cap B)=0$

乘法规则： $P(A \cap B) = P(A|B)P(B)$

加法规则： $P(A \cup B) = P(A) + P(B) - P(A \cap B)$