Problem Solving Using Bayes Theorem: A Mathematical Approach

Abstract

The study on understanding of Bayes’ Theorem and to use that knowledge to investigate practical problems in various professional fields. Provides a means for making probability calculations after revising probabilities when obtaining new information in an important phase of probability analysis. When given P(A) and P(A B), one can calculate P(B/A) by manipulating the information in the Multiplication Rule. However, one could not calculate P(A/B). Similarly, when given P(B) and P(A B), one can calculate P(A/B) by manipulating the information in the Multiplication Rule. There is where one can now apply Bayes’ Theorem. The derivation for Bayes’ theorem is straightforward, not everyone is the future, you are using it to make inferences about the past. People who think in terms of causality have trouble with this.