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- for Naive Bayes against some multinomial distribution, its often a good time to find the ratios of the results because the combination in the beginning cancels out if you are analyzing the same samples upon different prior probabilities
\begin{equation} \frac{P(H|D)}{P(M|D)} = \frac{\prod_{i} h_{i}^{c_{i}}}{\prod_{i} m_{i}^{c_{i}}} \end{equation}