3.6: 章节公式回顾
- Page ID
- 204849
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3.1 术语
A 和 B 是事件
\(P(S) = 1\)样本空间在哪里\(S\)
\(0 ≤ P(A) ≤ 1\)
\(P(A | B)=\frac{P(A \cap B)}{P(B)}\)
3.2 独立和互斥的事件
\(\text {If } A \text { and } B \text { are independent, } P(A \cap B)=P(A) P(B), P(A | B)=P(A) \text { and } P(B | A)=P(B)\)
\(\text {If } A \text { and } B \text { are mutually exclusive, } P(A \cup B)=P(A)+P(B) \text { and } P(A \cap B)=0\)
3.3 概率的两个基本规则
乘法规则：\(P(A \cap B) = P(A|B)P(B)\)
加法规则：\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)