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\hat{P}(x_j\vert c) = \dfrac{N_{x_j, c}+\alpha}{N_{x, c}+n \alpha}%0
\[ \hat{P}(x_j\vert c) = \dfrac{N_{x_j, c}+\alpha}{N_{x, c}+n \alpha}%0 \] \gamma = 1
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