diff --git a/is/UB1/ISUB1.pdf b/is/UB1/ISUB1.pdf
index ceb0e4d..61ab839 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 ddb21ee..49e5779 100644
--- a/is/UB1/ISUB1.tex
+++ b/is/UB1/ISUB1.tex
@@ -99,7 +99,7 @@
                     \item $A:=1\ pair,\ B:=\neg Spades$\\
                         $P(A|B)=\frac{P(B|A)P(A)}{P(B)}$\\
                         $P(A)=\frac{352}{833},\ P(B)=\frac{39}{52}\cdot\frac{38}{51}\cdot\frac{37}{50}\cdot\frac{36}{49}\cdot\frac{35}{48}=\frac{2109}{9520}$\\
-                        $P(B|A)=1-P(\neg B| A)=1-\left(\frac{1}{4}+\frac{3}{4}\frac{1}{4}+\left(\frac{3}{4}\right)^2\frac{1}{4}+\left(\frac{3}{4}\right)^3\frac{1}{4}+\left(\frac{3}{4}\right)^4\frac{1}{3}\right)=1-\frac{101}{128}=\frac{27}{128}\approx 0.211$\\
+                        $P(B|A)=1-P(\neg B| A)=1-\left(\frac{1}{4}+\frac{3}{4}\cdot\frac{1}{4}+\left(\frac{3}{4}\right)^2\frac{1}{4}+\left(\frac{3}{4}\right)^3\frac{1}{4}+\left(\frac{3}{4}\right)^4\frac{1}{3}\right)=1-\frac{101}{128}=\frac{27}{128}\approx 0.211$\\
                         $P(A|B)=\frac{\frac{27}{128}\cdot \frac{352}{833}}{\frac{2109}{9520}}=\frac{1980}{4921}\approx 0.402$
                     \item $A:=2\ pairs,\ P(A)=\frac{198}{4165}$, B as above\\
                         $P(B|A)=1-\left(\frac{1}{4}+\frac{3}{4}\cdot\frac{1}{4}+\left(\frac{3}{4}\right)^2\cdot\frac{1}{4}+\left(\frac{3}{4}\right)^3\cdot\frac{1}{3}+\left(\frac{3}{4}\right)^3\frac{2}{3}\cdot\frac{1}{3}\right)=\frac{3}{16}$\\
@@ -113,7 +113,7 @@
             \item $F\left(\frac{3}{2}\right)-F\left(\frac{1}{2}\right)=\frac{3}{4}-\frac{1}{4}=\frac{1}{2}$
             \item
              $x^2<x\Leftrightarrow x\in (0,1)$ \\
-             $\Rightarrow \mathds{P}(Y<X)=\mathds{P}(0\leq X<1)=F\left(1\right)-F\left(0\right)=\frac{1}{2}-0=\frac{1}{2}$\\
+             $\Rightarrow \mathds{P}(Y<X)=\mathds{P}(0< X<1)=F\left(1\right)-F\left(0\right)=\frac{1}{2}-0=\frac{1}{2}$\\
             \item $
             F_z(z) = F_x(g^{-1}(z))\\
             g(X)=\sqrt{X} \\ g^{-1}(z)= z^2\\
@@ -122,7 +122,7 @@
                 0 & if\ z<0\\
                 \frac{1}{2} z^2 & if\ 0\leq z\leq \sqrt2\\
                 1 & if\ z>\sqrt2
-            \end{cases}$%TODO: adjust intervals dazu sagt das Beispiel nichts...
+            \end{cases}$
            \\ reference: http://math.arizona.edu/$\sim$jwatkins/f-transform.pdf
         \end{enumerate}
     \Aufgabe{Keep Rolling!}{4}