 If we sum the ratio versions of Bayes’ Theorem in Equation \(9*\) over all alternatives to hypothesis \(h_i\) (including the catch-all alternative \(h_K\), if appropriate), we get the Odds Form of Bayes’ Theorem. By definition, the odds against a statement \(A\) given \(B\) is related to the probability of \(A\) given \(B\) as follows: