标签: Probability - 个人主页

2024-05-26发表2024-05-26更新STEP3 分钟读完 (大约379个字)

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Basic Concept

$A$, $B$: event:

Inclusion–exclusion principle: $P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Mutually exclusive events: $A \cap B = \varnothing$, i.e. $P(A \cap B) = 0$.

A, B independent: A and B have no impact on each other, i.e. $P(A \cap B) = P(A) \cdot P(B)$.

$P(A’)=1-P(A)$: comlimentary

2024-05-26发表2024-05-26更新STEP3 分钟读完 (大约488个字)

本文同时提供以下语言的翻译: English.

$A$, $B$: event(事件):

容斥原理: $P(A\cup B)=P(A)+P(B)-P(A\cap B)$

互斥事件(mutuallu exclusive events): $A \cap B = \varnothing$, 即$P(A \cap B) = 0$.

独立事件(independent events): 事件A和B独立发生, 均不会对对方产生任何影响. $P(A \cap B) = P(A) \cdot P(B)$.

互补事件(complementary events): $P(A’)=1-P(A)$