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
Rating:
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.