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Bayesian odds

This is a very short article on Bayesian odds. 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 ball and urn model. Unlike other Cut-the-Knot articles, this one uses MathJax for the mathematical notation, so the notation is rendered nicely.
Identifier: 
http://www.cut-the-knot.org/Probability/PlainRedBlueBalls.shtml
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Average: 3 (217 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.