13,230
回編集
→ベイズの定理
(→ベイズの定理) |
(→ベイズの定理) |
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| 60行目: | 60行目: | ||
\begin{align} | \begin{align} | ||
P(B_{i}|A) &= \frac{P(A|B_{i}) \times P(B_{i})}{P(A)}\\ | P(B_{i}|A) &= \frac{P(A|B_{i}) \times P(B_{i})}{P(A)}\\ | ||
&= \frac{P(A|B_{i}) \times P(B_{i})}{P(A \cap B_{1}) + P(A \cap B_{2}) \cdots + P(A \cap B_{K})} | &= \frac{P(A|B_{i}) \times P(B_{i})}{P(A \cap B_{1}) + P(A \cap B_{2}) \cdots + P(A \cap B_{K})} \\ | ||
&= \frac{P(A|B_{i}) \times P(B_{i})}{\sum_{i=1}^K P(B_{i}) P(A|B_{i})} | |||
\end{align} | \end{align} | ||
</math><br> | </math><br> | ||