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'''Bayes' Theorem''', also known as Bayes' Rule, is used in [[statistics]] and [[probability]] theory to relate marginal probabilities and conditional probabilities.  In the context of Bayesian probability theory, it is used to update degrees of belief (probabilities) given new information. The theorem was first developed by the Reverend Thomas Bayes (1702-1761), an English nonconformist minister, and later improved by the French mathematician Pierre Laplace.
 
'''Bayes' Theorem''', also known as Bayes' Rule, is used in [[statistics]] and [[probability]] theory to relate marginal probabilities and conditional probabilities.  In the context of Bayesian probability theory, it is used to update degrees of belief (probabilities) given new information. The theorem was first developed by the Reverend Thomas Bayes (1702-1761), an English nonconformist minister, and later improved by the French mathematician Pierre Laplace.
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While held in disdain by some mathematicians for years, Bayes Theorem is credited with helping decipher the [[Enigma]] code of the [[Nazi]]s during [[World War II]].<ref>https://www.bayestheorem.net/history/</ref>
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While held in disdain by some mathematicians for years, Bayes Theorem is credited with helping decipher the [[Enigma]] code of the [[Nazi]]s during [[World War II]].<ref name="Bayes">https://www.bayestheorem.net/history/</ref>
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Rev. Bayes' interest this is summed as follows:
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{{cquote|Apart from his [[faith]], Bayes had a deep love and interest in mathematics and was considered an amateur mathematician. In his later years, he became fascinated with probability, specifically inverse probability. No one knows why for sure, but one thing is clear: Bayes became consumed with figuring out ... the approximate probability of a future event he knew nothing about except its past, that is, the number of times it had occurred or failed to occur.}}
 
== Theorem ==
 
== Theorem ==
  
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