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Conto di dieu pagawéan nu maké klasifikasi naive Bayesian classification keur masalah document classification.

Consider the problem of classifying documents by their content, for example into spam and non-spam E-mails. Imagine that documents are drawn from a number of classes of documents which can be modélled as sets of words where the (independent) probability that the i-th word of a given document occurs in a document from class C can be written as

(For this tréatment, we simplify things further by assuming that the probability of a word in a document is independent of the length of a document, or that all documents are of the same length).

Then the probability of a given document D, given a class C, is

The question that we desire to answer is: "what is the probability that a given document D belongs to a given class C?"

Now, by their definition, (see Probability axiom)