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Remove stray vert

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This commit is contained in:
Andreas Tsouchlos 2025-10-27 11:57:40 +01:00
parent 7f785985d3
commit c5e387fbd2
1 changed files with 2 additions and 2 deletions
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src/2025-11-21/presentation.tex
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@ -442,7 +442,7 @@
\begin{frame}
\frametitle{Aufgabe 2: Bayes \& Unabhängigkeit}
\vspace*{-15mm}
\vspace*{-13mm}
Bei der Kontrolle wird unerwartet ein zusätzlicher, dritter Fehler $C$
beobachtet. Der Fehler tritt
@ -487,7 +487,7 @@
\begin{align*}
P(A\vert C) &= \frac{P(C\vert A)P(A)}{P(C)}\\[5mm]
P(C\vert A) &= P(C\vert AB)P(B\vert A)
+ \overbrace{P(C\vert \overline{A} B)}^{0}P(\vert \overline{A}B) \\
+ \overbrace{P(C\vert \overline{A} B)}^{0}P(\overline{A}B) \\
&= P(C\vert AB)\frac{P(AB)}{P(A)} = 0.02 \cdot \frac{0.01}{0.05} = 0.004\\[5mm]
P(A\vert C) &= \frac{0.004\cdot 0.05}{0.0094} \approx 0.0213
\end{align*}