## Bayes' theorem |

In
**Bayes’ theorem** (alternatively **Bayes’ law** or **Bayes' rule**) describes the

One of the many applications of Bayes' theorem is

Bayes’ theorem is named after Reverend
*
An Essay towards solving a Problem in the Doctrine of Chances* (1763). It was further developed by

- statement of theorem
- examples
- interpretations
- forms
- derivation
- correspondence to other mathematical frameworks
- history
- see also
- notes
- further reading
- external links

Bayes' theorem is stated mathematically as the following equation:^{
[2]}

where and are

- is a
conditional probability : the likelihood of event occurring given that is true. - is also a conditional probability: the likelihood of event occurring given that is true.
- and are the probabilities of observing and independently of each other; this is known as the
marginal probability .

Other Languages

Afrikaans: Bayes se stelling

العربية: مبرهنة بايز

aragonés: Teorema de Bayes

asturianu: Teorema de Bayes

беларуская: Тэарэма Баеса

беларуская (тарашкевіца): Тэарэма Баеса

български: Теорема на Бейс

català: Teorema de Bayes

čeština: Bayesova věta

dansk: Bayes' teorem

Deutsch: Satz von Bayes

Ελληνικά: Θεώρημα Μπέυζ

español: Teorema de Bayes

euskara: Bayesen teorema

فارسی: قضیه بیز

français: Théorème de Bayes

Gaeilge: Teoirim Bayes

galego: Teorema de Bayes

한국어: 베이즈 정리

हिन्दी: बेय का सिद्धांत

Bahasa Indonesia: Teorema Bayes

íslenska: Formúla Bayes

italiano: Teorema di Bayes

עברית: חוק בייס

lietuvių: Bajeso teorema

magyar: Bayes-tétel

монгол: Байесын теорем

Nederlands: Theorema van Bayes

日本語: ベイズの定理

norsk: Bayes' teorem

Piemontèis: Fórmola ëd Bayes

polski: Twierdzenie Bayesa

português: Teorema de Bayes

română: Teorema lui Bayes

русский: Теорема Байеса

Scots: Bayes' theorem

Simple English: Bayes' theorem

српски / srpski: Бајесова теорема

Basa Sunda: Téoréma Bayes

suomi: Bayesin teoreema

svenska: Bayes sats

தமிழ்: பேயசின் தேற்றம்

Türkçe: Bayes teoremi

українська: Теорема Баєса

اردو: بےز مسئلہ اثباتی

Tiếng Việt: Định lý Bayes

吴语: 贝叶斯定理

粵語: 貝葉斯定理

中文: 贝叶斯定理