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• Conditional_probability abstract "In probability theory, a conditional probability measures the probability of an event given that (by assumption, presumption, assertion or evidence)another event has occurred.If the events are A and B respectively, this is said to be "the probability of A given B".It is commonly denoted by P(A|B), or sometimes PB(A). In case that both "A" and "B" are categorical variables, conditional probability table is typically used to represent the conditional probability.The concept of conditional probability is one of the most fundamental and one of the most important concepts in probability theory.But conditional probabilities can be quite slippery and require careful interpretation.In statistical inference, the conditional probability is an update of the probability of an event based on new information. Incorporating the new information can be done as follows We start with a probability measure on a sample space, say (X,P). Let the event of interest be A. If we wish to measure the probability of the event A knowing that event B has or will have occurred we need to examine event A as it is restricted to event B. Since both A and B are events in the same sample space, A restricted to B is A B. Whenever P(B)>0 with the original probability measure on the original sample space (X,P), B must be the sure event in the restricted space (B,PB) and thus PB(B) must be 1. To derive P(A|B)=PB(A) so that P(B|B)=1 we re-scale P(A B) by dividing by P(B). This results in P(A|B) = P(A B)/P(B) whenever P(B)>0 and 0 otherwise.Note: This approach results in a probability measure that is consistent with the original probability measure and satisfies all the Kolmogorov Axioms.Note: The phraseology "evidence" or "information" is generally used in the Bayesian interpretation of probability. The conditioning event is interpreted as evidence for the conditioned event. That is, P(A) is the probability of A before accounting for evidence E, and P(A|E) is the probability of A after having accounted for evidence E or after having updated P(A). This is consistent with the frequentist interpretation.Note: P(A|B) (the conditional probability of A given B) may or may not be equal to P(A) (the unconditional probability of A). If P(A|B) = P(A), A and B are said to be independent.".
• Conditional_probability thumbnail Conditional_probability.svg?width=300.
• Conditional_probability wikiPageExternalLink probability.
• Conditional_probability wikiPageExternalLink the_conditional_fallacy_in_contemporary_philosophy.
• Conditional_probability wikiPageExternalLink conditional.
• Conditional_probability wikiPageID "24104134".
• Conditional_probability wikiPageRevisionID "604748441".
• Conditional_probability hasPhotoCollection Conditional_probability.
• Conditional_probability title "Conditional Probability".
• Conditional_probability urlname "ConditionalProbability".
• Conditional_probability subject Category:Conditionals.
• Conditional_probability subject Category:Logical_fallacies.
• Conditional_probability subject Category:Probability_theory.
• Conditional_probability subject Category:Statistical_ratios.
• Conditional_probability comment "In probability theory, a conditional probability measures the probability of an event given that (by assumption, presumption, assertion or evidence)another event has occurred.If the events are A and B respectively, this is said to be "the probability of A given B".It is commonly denoted by P(A|B), or sometimes PB(A).".
• Conditional_probability label "Bedingte Wahrscheinlichkeit".
• Conditional_probability label "Conditional probability".
• Conditional_probability label "Prawdopodobieństwo warunkowe".
• Conditional_probability label "Probabilidad condicionada".
• Conditional_probability label "Probabilidade condicionada".
• Conditional_probability label "Probabilità condizionata".
• Conditional_probability label "Probabilité conditionnelle".
• Conditional_probability label "Voorwaardelijke kans".
• Conditional_probability label "Условная вероятность".
• Conditional_probability label "احتمال شرطي".
• Conditional_probability label "条件付き確率".
• Conditional_probability label "条件概率".
• Conditional_probability sameAs Bedingte_Wahrscheinlichkeit.
• Conditional_probability sameAs Probabilidad_condicionada.
• Conditional_probability sameAs Baldintzapeko_probabilitate.
• Conditional_probability sameAs Probabilité_conditionnelle.
• Conditional_probability sameAs Probabilità_condizionata.
• Conditional_probability sameAs 条件付き確率.
• Conditional_probability sameAs 조건부_확률.
• Conditional_probability sameAs Voorwaardelijke_kans.
• Conditional_probability sameAs Prawdopodobieństwo_warunkowe.
• Conditional_probability sameAs Probabilidade_condicionada.
• Conditional_probability sameAs m.01rd7.
• Conditional_probability sameAs Q327069.
• Conditional_probability sameAs Q327069.
• Conditional_probability wasDerivedFrom Conditional_probability?oldid=604748441.
• Conditional_probability depiction Conditional_probability.svg.
• Conditional_probability isPrimaryTopicOf Conditional_probability.