deletions | additions       diff --git a/section_Estimating_the_Probability_of__.tex b/section_Estimating_the_Probability_of__.tex  index 918400b..78548db 100644  --- a/section_Estimating_the_Probability_of__.tex  +++ b/section_Estimating_the_Probability_of__.tex 
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P(M|X_{1..n}) = \frac{P(X_{1..n}|M) * P(M)}{P(X_{1..n})}  \end{equation}  However, as the probability frequency  of the joined event of numerous features $(X_{1..n})$ is usually zero or close to zero, and thus not appropriate to estimate the probability,  there is an expanded form of this equation that allows to estimate the joined events from probability on the basis of  the independent events where events. In out formula  $-M$ represents all but Ming period tombstones. \begin{equation}  P(M|X_{1..n}) = \frac{P(M) * \prod\limits_{i=1}^{n} P(X_{i}|M) }{P(M) * \prod\limits_{i=1}^{n}P(X_{i}|M) + P(-M) * \prod\limits_{i=1}^{n} P(X_{i}|-M)}