diff --git a/is/UB1/ISUB1.pdf b/is/UB1/ISUB1.pdf
index 341cce9..7b25945 100644
--- a/is/UB1/ISUB1.pdf
+++ b/is/UB1/ISUB1.pdf
Binary files differ
diff --git a/is/UB1/ISUB1.tex b/is/UB1/ISUB1.tex
index a3e69b8..ee651c8 100644
--- a/is/UB1/ISUB1.tex
+++ b/is/UB1/ISUB1.tex
@@ -97,19 +97,20 @@
                 \item $A:=2\ pairs,\ B:=\neg Spades$\\
                 $P(A|B)=\frac{P(B|A)P(A)}{P(B)}$\\
                 $P(A)=\frac{198}{4165},\ P(B)=\frac{39}{52}\cdot\frac{38}{51}\cdot\frac{37}{50}\cdot\frac{36}{49}\cdot\frac{35}{48}=\frac{2109}{9520}$\\
-                $P(B|A)=?$%TODO
+                $P(B|A)=1-P(\neg B| A)=1-\left(\frac{1}{4}+\frac{3}{4}\frac{1}{4}+\left(\frac{3}{4}\right)^2\frac{1}{4}+\left(\frac{3}{4}\right)^3\frac{1}{4}+\left(\frac{3}{4}\right)^4\frac{1}{3}\right)=1-\frac{101}{128}=\frac{27}{128}\approx 0.211$\\
+                $P(A|B)=\frac{\frac{27}{128}\cdot \frac{198}{4165}}{\frac{2109}{9520}}$%TODO
             \end{enumerate}
         \end{enumerate}
     \Aufgabe{Random Variables}{2+2+2=6}
         \begin{enumerate}
-            \item $\int\limits_{\frac{1}{2}}^{\frac{3}{2}}\frac{1}{2}x dx=F\left(\frac{3}{4}\right)-F\left(\frac{1}{2}\right)=\frac{9}{16}-\frac{1}{16}=\frac{1}{2}$
+            \item $F\left(\frac{3}{2}\right)-F\left(\frac{1}{2}\right)=\frac{3}{4}-\frac{1}{4}=\frac{1}{2}$
             \item $x^2<x\Leftrightarrow x\in(0,1)$\\
-            $\Rightarrow \mathds{P}(Y<X)=\mathds{P}(0<X<1)=\int\limits_{0}^{1}\frac{1}{2}x dx=F\left(1\right)-F\left(0\right)=\frac{1}{4}-0=\frac{1}{4}$
+            $\Rightarrow \mathds{P}(Y<X)=\mathds{P}(0<X<1)=F\left(1\right)-F\left(0\right)=\frac{1}{2}-0=\frac{1}{2}$
             \item $F_Z(x)=\begin{cases}
                 0 & if\ x<0\\
-                \frac{\sqrt{2}}{2}\sqrt{x} & if\ 0\leq x\leq \sqrt2\\
-                1 & if\ x>\sqrt{2}
-            \end{cases}$
+                \frac{\sqrt{2}}{2}\sqrt{x} & if\ 0\leq x\leq 2\\
+                1 & if\ x>2
+            \end{cases}$%TODO
         \end{enumerate}
     \Aufgabe{Keep Rolling!}{4}
         $\mathds{E}(X)=\frac{1}{\frac{1}{6}}=6$ (geometric distribution)\\