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# Bayes' Ratio: Dramatic Taxicab Example

Course Topic(s): Probability | Basic Probability, conditional probability

This is a another short article on Bayesian odds, but in this case the author refers to Bayes' ratio instead. Bayes' theorem is used to derive a formula for the ratio of posterior probabilities $$P(A | C) / P(B | C)$$ in terms of the prior probabilities $$P(A)$$, $$P(B)$$ and the conditional $$P(C | A)$$ and $$P(C | B)$$. An application is given to a taxi problem that is similar to the diagnostic testing setting. Unlike other Cut-the-Knot article, this one uses MathJax for the mathematical notation, so the notation is rendered nicely.

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Subject classification(s): Elementary Probability | Probability | Statistics and Probability

Creator(s): Alexander Bogomolny

Contributor(s): Alexander Bogomolny

This resource was cataloged by Kyle Siegrist

Publisher:
Cut-the-knot

Resource copyright: Copyright Alexander Bogomolny. The HTML page can be accessed and linked to, but not copied or used in other works.

This review was published on September 14, 2012