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独立と排反の違い

Last updated at Posted at 2022-01-03

#●確率とは
<試行>(サイコロを振る、コインを投げる等)を行ったときの、
<事象>(1の目が出る、表が出る等)の起こる割合のこと

#●独立:お互いの結果が影響し合わない:試行(サイコロを振る)
独立の場合のみ P(A)×P(B)=P(A∩B)が成り立つ
独立の場合のみ P(A|B)=P(A)⇨事象Bの影響を受けないから

#●排反:同時に起こらない事象:事象(1の目が出る)
排反の場合のみ P(A)+P(B)=P(A∪B)が成り立つ
排反ではない時は P(A)+P(B)-P(A∩B) =P(A∪B)が成り立つ
排反の場合のみP(A|B)=0 が成り立つ

※参考HP
https://detail.chiebukuro.yahoo.co.jp/qa/question_detail/q1368446618

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