diff --git a/semester4/ps/ps-jh/parts/02_discrete-continuous-rv/03_examples-disc-rv.tex b/semester4/ps/ps-jh/parts/02_discrete-continuous-rv/03_examples-disc-rv.tex
index 863fe39..e84caab 100644
--- a/semester4/ps/ps-jh/parts/02_discrete-continuous-rv/03_examples-disc-rv.tex
+++ b/semester4/ps/ps-jh/parts/02_discrete-continuous-rv/03_examples-disc-rv.tex
@@ -21,14 +21,15 @@ $\forall k \in W \; \P[\cX = k] = (1 - p)^{k - 1} \cdot p$
 
 \shortremark $\P[\cX = 1] = p$, da wir Konvetion $a^0 = 1$ verwenden.
 
-\shortremark $\sum_{k = 0}^{\8} p(k) = p \cdot \sum_{k = 0}^{\8} \P[\cX = k] = p \cdot \frac{1}{p} = 1$
+\shortremark $\sum_{k = 0}^{\8} p(k) = p \cdot \sum_{k = 0}^{\8} (1 - p)^{k - 1} = p \cdot \frac{1}{p} = 1$
 
 \shorttheorem $X_i \sim \text{Ber}(p)$ für $i \in \N$.\\
 Dann $( T := \min\{ n \geq 1 \divider X_n = 1 \} )\sim \text{Geom}(p)$
 
 \shortremark $T = \8$ ist möglich, $\P[T = \8] = 0$
 
-\shorttheorem $T \sim \text{Geom}(p)$, dann $\forall n \geq 0 \; \forall k \geq 1 \; \P[T \geq n + k | T > n] = \P[T \geq k]$
+\shorttheorem $T \sim \text{Geom}(p)$, dann\\
+$\forall n \geq 0 \; \forall k \geq 1 \; \P[T \geq n + k | T > n] = \P[T \geq k]$
 
 
 \subsubsection{Poisson-Verteilung}
diff --git a/semester4/ps/ps-jh/probability-and-statistics-cheatsheet.pdf b/semester4/ps/ps-jh/probability-and-statistics-cheatsheet.pdf
index ac6cfb5..c5cc2d8 100644
Binary files a/semester4/ps/ps-jh/probability-and-statistics-cheatsheet.pdf and b/semester4/ps/ps-jh/probability-and-statistics-cheatsheet.pdf differ