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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Craps principle ： ウィキペディア英語版 Craps principle In probability theory, the craps principle is a theorem about event probabilities under repeated iid trials. Let $E\_1$ and $E\_2$ denote two mutually exclusive events which might occur on a given trial. Then for each trial, the conditional probability that $E\_1$ occurs given that $E\_1$ or $E\_2$ occur is :$\backslash operatorname\backslash left(E\_1\backslash cup\; E\_2\backslash right)=\backslash frac()\}$ The events $E\_1$ and $E\_2$ need not be collectively exhaustive. ==Proof== Since $E\_1$ and $E\_2$ are mutually exclusive, :$\backslash operatorname(E\_2)=\backslash operatorname()+\backslash operatorname()$ Also due to mutual exclusion, :$E\_1\backslash cap(E\_1\backslash cup\; E\_2)=E\_1$ By conditional probability, :$\backslash operatorname(E\_2))=\backslash operatorname\backslash left(E\_1\backslash cup\; E\_2\backslash right)\backslash operatorname\backslash left(E\_2\backslash right)$ Combining these three yields the desired result. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Craps principle」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.