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- Equiprobability abstract "Equiprobability is a philosophical concept in probability theory that allows one to assign equal probabilities to outcomes when they are judged to be equipossible or to be \"equally likely\" in some sense. The best-known formulation of the rule is Laplace's principle of indifference (or principle of insufficient reason), which states that, when \"we have no other information than\" that exactly N mutually exclusive events can occur, we are justified in assigning each the probability 1/N. This subjective assignment of probabilities is especially justified for situations such as rolling dice and lotteries since these experiments carry a symmetry structure, and one's state of knowledge must clearly be invariant under this symmetry.A similar argument could lead to the seemingly absurd conclusion that the sun is as likely to rise as to not rise tomorrow morning. However, the conclusion that the sun is equally likely to rise as it is to not rise is only absurd when additional information is known, such as the laws of gravity and the sun's history. Similar applications of the concept are effectively instances of circular reasoning, with \"equally likely\" events being assigned equal probabilities, which means in turn that they are equally likely. Despite this, the notion remains useful in probabilistic and statistical modeling.In Bayesian probability, one needs to establish prior probabilities for the various hypotheses before applying Bayes' theorem. One procedure is to assume that these prior probabilities have some symmetry which is typical of the experiment, and then assign a prior which is proportional to the Haar measure for the symmetry group: this generalization of equiprobability is known as the principle of transformation groups and leads to misuse of equiprobability as a model for incertitude.".
- Equiprobability wikiPageExternalLink classical.html.
- Equiprobability wikiPageID "11101338".
- Equiprobability wikiPageLength "2519".
- Equiprobability wikiPageOutDegree "25".
- Equiprobability wikiPageRevisionID "595431840".
- Equiprobability wikiPageWikiLink A_priori_probability.
- Equiprobability wikiPageWikiLink Aequiprobabilism.
- Equiprobability wikiPageWikiLink Bayes_theorem.
- Equiprobability wikiPageWikiLink Bayesian_probability.
- Equiprobability wikiPageWikiLink Category:Probability_interpretations.
- Equiprobability wikiPageWikiLink Category:Probability_theory.
- Equiprobability wikiPageWikiLink Circular_reasoning.
- Equiprobability wikiPageWikiLink Equipossibility.
- Equiprobability wikiPageWikiLink Haar_measure.
- Equiprobability wikiPageWikiLink Laplacian_smoothing.
- Equiprobability wikiPageWikiLink Lottery.
- Equiprobability wikiPageWikiLink Mutual_exclusivity.
- Equiprobability wikiPageWikiLink Philosophy.
- Equiprobability wikiPageWikiLink Pierre-Simon_Laplace.
- Equiprobability wikiPageWikiLink Principle_of_indifference.
- Equiprobability wikiPageWikiLink Principle_of_transformation_groups.
- Equiprobability wikiPageWikiLink Prior_probability.
- Equiprobability wikiPageWikiLink Probability_theory.
- Equiprobability wikiPageWikiLink Scientific_modelling.
- Equiprobability wikiPageWikiLink Statistics.
- Equiprobability wikiPageWikiLink Symmetry_group.
- Equiprobability wikiPageWikiLinkText "Equiprobability".
- Equiprobability wikiPageWikiLinkText "equiprobability".
- Equiprobability wikiPageUsesTemplate Template:Expert-subject.
- Equiprobability wikiPageUsesTemplate Template:Multiple_issues.
- Equiprobability wikiPageUsesTemplate Template:Reflist.
- Equiprobability wikiPageUsesTemplate Template:Unreferenced.
- Equiprobability subject Category:Probability_interpretations.
- Equiprobability subject Category:Probability_theory.
- Equiprobability hypernym Concept.
- Equiprobability comment "Equiprobability is a philosophical concept in probability theory that allows one to assign equal probabilities to outcomes when they are judged to be equipossible or to be \"equally likely\" in some sense. The best-known formulation of the rule is Laplace's principle of indifference (or principle of insufficient reason), which states that, when \"we have no other information than\" that exactly N mutually exclusive events can occur, we are justified in assigning each the probability 1/N.".
- Equiprobability label "Equiprobability".
- Equiprobability sameAs Q2742564.
- Equiprobability sameAs Equiprobabilitat.
- Equiprobability sameAs Equiprobabilidad.
- Equiprobability sameAs Équiprobabilité.
- Equiprobability sameAs Equiprobabilidade.
- Equiprobability sameAs m.02r0222.
- Equiprobability sameAs ความน่าจะเป็นเท่ากัน.
- Equiprobability sameAs Q2742564.
- Equiprobability wasDerivedFrom Equiprobability?oldid=595431840.
- Equiprobability isPrimaryTopicOf Equiprobability.