Information about Equiprobable
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Equiprobability is a philosophical concept in probability theory that allows one to assign equal probabilities to outcomes that are judged to be equipossible or to be "equally likely" (in some sense). The best-known formulation of the rule is Laplace' Principle of Indifference, which states that, when we have no other information than that exactly N events can occur and that they are mutually exclusive, we are justified in assigning each the probability 1/N. While this subjective assignment of probabilities works well for rolling dice and lotteries, it could also lead to the absurd conclusion that the sun is as likely to rise as to not rise tomorrow morning.
Most applications of the concept are effectively applications 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.
External links
- Quotes on equiprobability in classical probability
Philosophy is the discipline concerned with questions of how one should live (ethics); what sorts of things exist and what are their essential natures (metaphysics); what counts as genuine knowledge (epistemology); and what are the correct principles of reasoning (logic).
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Probability theory is the branch of mathematics concerned with analysis of random phenomena.[1] The central objects of probability theory are random variables, stochastic processes, and events: mathematical abstractions of non-deterministic events or measured quantities
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Pierre-Simon, marquis de Laplace
Posthumous portrait by Madame Feytaud, 1842
Born 1749-03-23
Beaumont-en-Auge, Normandy, France
Died March 5 1827 (aged 79)
Paris, France
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Posthumous portrait by Madame Feytaud, 1842
Born 1749-03-23
Beaumont-en-Auge, Normandy, France
Died March 5 1827 (aged 79)
Paris, France
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The principle of indifference (also called principle of insufficient reason) is a rule for assigning epistemic probabilities. Suppose that there are n > 1 mutually exclusive and collectively exhaustive possibilities.
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In logic, two mutually exclusive (or "mutual exclusive" according to some sources) propositions are propositions that logically cannot both be true. To say that more than two propositions are mutually exclusive may, depending on context mean that no two of them can both be true, or
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Bayesian probability is an interpretation of the probability calculus which holds that the concept of probability can be defined as the degree to which a person (or community) believes that a proposition is true.
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lottery is a popular form of gambling which involves the drawing of lots for a prize. Some governments outlaw it, while others endorse it to the extent of organizing a national lottery. It is common to find some degree of regulation of lottery by governments.
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Please [improve the article] or discuss this issue on the talk page. This article has been tagged since October 2007.
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Please [improve the article] or discuss this issue on the talk page. This article has been tagged since October 2007.
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Statistics is a mathematical science pertaining to the collection, analysis, interpretation or explanation, and presentation of data. It is applicable to a wide variety of academic disciplines, from the physical and social sciences to the humanities.
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Scientific modelling is the process of generating abstract or conceptual models. Science offers a growing collection of methods, and theory about all kinds of specialized scientific modelling.
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