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Bayes' Ratio: Dramatic Taxicab Example

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.
Identifier: 
http://www.cut-the-knot.org/Probability/RedBlueTaxicabs.shtml
Rating: 
2.95
Average: 3 (237 votes)
Creator(s): 
Alexander Bogomolny
Cataloger: 
Kyle Siegrist
Publisher: 
Cut-the-knot
Rights: 
Copyright Alexander Bogomolny. The HTML page can be accessed and linked to, but not copied or used in other works.

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