What is the odds form of Bayes?
What is the odds form of Bayes? If A and B are mutually exclusive and collectively exhaustive, that means p(B) = 1 - p(A), so we can rewrite the ratio of the priors, and the ratio of the posteriors, as odds. In words, this says that the posterior odds are the prior odds times the likelihood ratio. This is the odds form of Bayes's theorem.
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