IGNOU MS 8 2011 - Bayes' Theorem

Question

Bayes' Theorem

30 Oct 2017

Answer :

Word Count : 686

Bayes' theorem (also known as Bayes' rule) is a useful tool for calculating conditional probabilities.

Bayes' Theorem is a theorem of probability theory originally stated by the Reverend Thomas Bayes. It can be seen as a way of understanding how the probability that a theory is true is affected by a new piece of evidence. It has been used in a wide variety of contexts, ranging from marine biology to the development of "Bayesian" spam blockers for email systems. In the philosophy of science, it has been used to try to clarify the relationship between theory and evidence. Many insights in the philosophy of science involving confirmation, falsification, the relation between science and pseudosience, and other topics can be made more precise, and sometimes extended or corrected, by using Bayes' Theorem. These pages will introduce the theorem and its use in the philosophy of science.

Begin by having a look at the theorem, displayed below. Then we'll look at the notation and terminology involved.

Image ignouacademy-com--p-bayes039-68432

In this formula, T stands for a theory or hypothesis that

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