Conditional probability (original) (raw)

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في دراسة الاحتمالات، احتمال شرطي هو احتمال وقوع حدث ما علما أن حدثا آخر ما قد وقع. نفرض أن E حدث اختياري ما ضمن فضاء العينة S بحيث. عندئذ نعرف احتمال وقوع الحدث A بفرض أن E قد وقع أو بعبارة أخرى الاحتمال الشرطي للحدث Aعند وقوع E (ويكتب):

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dbo:abstract La probabilitat condicionada és la probabilitat que hi hagi un succés A, sabent que també succeeix un altre succés B. La probabilitat condicional s'escriu P(A|B), i es llegeix «la probabilitat de A donada B». No cal que existeixi una relació causal o temporal entre A i B. A pot precedir en el temps a B, succeir-lo o poden ser simultanis. A pot causar B, viceversa o poden no tenir relació causal. Les relacions causals o temporals són nocions que no pertanyen a l'àmbit de la probabilitat. Poden desenvolupar un paper o no depenent de la interpretació que es doni als successos. El condicionament de probabilitats pot aconseguir-se aplicant el teorema de Bayes. (ca) في دراسة الاحتمالات، احتمال شرطي هو احتمال وقوع حدث ما علما أن حدثا آخر ما قد وقع. نفرض أن E حدث اختياري ما ضمن فضاء العينة S بحيث. عندئذ نعرف احتمال وقوع الحدث A بفرض أن E قد وقع أو بعبارة أخرى الاحتمال الشرطي للحدث Aعند وقوع E (ويكتب): (ar) Bedingte Wahrscheinlichkeit (auch konditionale Wahrscheinlichkeit) ist die Wahrscheinlichkeit des Eintretens eines Ereignisses unter der Bedingung, dass das Eintreten eines anderen Ereignisses bereits bekannt ist. Sie wird als geschrieben. Der senkrechte Strich ist als „unter der Bedingung“ zu lesen und wie folgt zu verstehen: Wenn das Ereignis eingetreten ist, beschränken sich die Möglichkeiten auf die Ergebnisse in . Damit ändert sich auch die Wahrscheinlichkeit; diese neue Wahrscheinlichkeit für das Ereignis ist gegeben durch . Die bedingte Wahrscheinlichkeit kann also als Neueinschätzung der Wahrscheinlichkeit von interpretiert werden, wenn die Information vorliegt, dass das Ereignis bereits eingetreten ist. Manchmal wird auch die Schreibweise verwendet, die jedoch auch andere Bedeutungen haben kann. Für einen verallgemeinerten, abstrakten Begriff von bedingten Wahrscheinlichkeiten siehe bedingter Erwartungswert. (de) In probability theory, conditional probability is a measure of the probability of an event occurring, given that another event (by assumption, presumption, assertion or evidence) has already occurred. This particular method relies on event B occurring with some sort of relationship with another event A. In this event, the event B can be analyzed by a conditional probability with respect to A. If the event of interest is A and the event B is known or assumed to have occurred, "the conditional probability of A given B", or "the probability of A under the condition B", is usually written as P(A
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rdfs:comment في دراسة الاحتمالات، احتمال شرطي هو احتمال وقوع حدث ما علما أن حدثا آخر ما قد وقع. نفرض أن E حدث اختياري ما ضمن فضاء العينة S بحيث. عندئذ نعرف احتمال وقوع الحدث A بفرض أن E قد وقع أو بعبارة أخرى الاحتمال الشرطي للحدث Aعند وقوع E (ويكتب): (ar) Baldintzapeko probabilitateak gertakizun bat gauzatu dela jakinda, beste gertakizun bat gertatzeko probabilitatea adierazten du. Honela izendatzen da B baldintzapeko edo B gertatu dela jakinda A-ren probabilitatea: . Honela kalkula daiteke ebakiduraren probabilitatea ezagutzen bada: A eta B gertakizunak elkarrekiko independenteak badira, B gertakizuna gauzatu izanak deus gaineratzen ez duenez A gertakizunari buruz: Bi gertakizun bateraezinak badira gainera, B gertatu bada, A ezin gerta daitekeenez: (eu) In teoria della probabilità la probabilità condizionata di un evento rispetto a un evento è la probabilità che si verifichi sapendo che è verificato. Questa probabilità, indicata o , esprime una "correzione" delle aspettative per dettata dall'osservazione di Poiché, come si vedrà nella successiva definizione, compare al denominatore, ha senso solo se ha una probabilità non nulla di verificarsi. È utile osservare che la notazione con il simbolo "barra verticale" è comune con la definizione del connettivo logico NAND. (it) 확률론에서 조건부 확률(條件附確率, 영어: conditional probability)은 주어진 사건이 일어났을 때 다른 한 사건이 일어날 확률을 뜻한다. 원래의 확률 함수를 라고 할 때, 사건 가 일어났을 때 사건 가 일어날 조건부 확률은 로 표기한다. (ko) 条件付き確率(じょうけんつきかくりつ、英: conditional probability)は、ある事象 B が起こるという条件下での別の事象 A の確率のことをいう。条件付き確率は P(A|B) または PB(A) のように表される。条件付き確率 P(A
rdfs:label Conditional probability (en) احتمال شرطي (ar) Probabilitat condicionada (ca) Bedingte Wahrscheinlichkeit (de) Probabilidad condicionada (es) Baldintzapeko probabilitate (eu) Probabilità condizionata (it) Probabilité conditionnelle (fr) 조건부 확률 (ko) 条件付き確率 (ja) Voorwaardelijke kans (nl) Prawdopodobieństwo warunkowe (pl) Probabilidade condicionada (pt) Условная вероятность (ru) Умовна ймовірність (uk) Betingad sannolikhet (sv) 条件概率 (zh)
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