V2EX conditional probability

Conditional Probability

释义 Definition

条件概率:在已知某个事件(或条件)已经发生的前提下,另一个事件发生的概率。常记作 **P(A | B)**,读作“在 B 发生的条件下 A 的概率”。(另有“条件概率分布”等相关用法。)

发音 Pronunciation (IPA)

/kndnl prbblti/

例句 Examples

If it rains, the conditional probability of the ground being wet is high.
如果下雨,地面变湿的条件概率就很高。

Given that a patient has a positive test result, the conditional probability that they truly have the disease depends on the test’s accuracy and the disease’s base rate.
在已知病人检测结果为阳性的情况下,TA真正患病的条件概率取决于检测的准确性以及疾病的基础发生率。

词源 Etymology

conditional 来自拉丁语 condicio(条件、约定),经由法语进入英语,表示“取决于条件的”。probability 来自拉丁语 probabilis(似乎可信的、可能的),与“证明、可信度”相关。合在一起,conditional probability 字面意思就是“在某个条件之下的可能性”。

相关词 Related Words

文学与名著作品 Literary Works

  • 《A First Course in Probability》(Sheldon Ross):以入门方式系统讲解条件概率、全概率公式与贝叶斯定理。
  • 《An Introduction to Probability Theory and Its Applications》(William Feller):经典概率论著作,多处以条件概率建立严谨推导。
  • 《Probability Theory: The Logic of Science》(E. T. Jaynes):将条件概率视为“在信息条件下的合理信念度”,讨论其哲学含义与应用。
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