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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 law of total probability ： ウィキペディア英語版 law of total probability In probability theory, the law (or formula) of total probability is a fundamental rule relating marginal probabilities to conditional probabilities. It expresses the total probability of an outcome which can be realized via several distinct events - hence the name. ==Statement== The law of total probability is〔Zwillinger, D., Kokoska, S. (2000) ''CRC Standard Probability and Statistics Tables and Formulae'', CRC Press. ISBN 1-58488-059-7 page 31.〕 the proposition that if The law of total probability can also be stated for conditional probabilities. Taking the $B\_n$ as above, and assuming $C$ is an event independent with any of the $B\_n$: :$\backslash Pr(A\; \backslash mid\; C)\; =\; \backslash sum\_n\; \backslash Pr(A\; \backslash mid\; C\; \backslash cap\; B\_n)\; \backslash Pr(B\_n\; \backslash mid\; C)\; =\; \backslash sum\_n\; \backslash Pr(A\; \backslash mid\; C\; \backslash cap\; B\_n)\; \backslash Pr(B\_n)$ 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「law of total probability」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.