Here are two options showing how to produce the trees using two of the most popular packages for tree generation; the first one using the forest package and the second one using tikz-qtree:
\documentclass{article}
\usepackage{forest}
\usepackage{tikz-qtree}
\begin{document}
\[
A \succeq B
\Rightarrow
\begin{forest}
baseline,
for tree={grow=0,parent anchor=east,l sep=35pt}
[
[C,edge label={node[sloped,pos=0.5,below,font=\scriptsize]{$1-p$}}]
[A,edge label={node[sloped,pos=0.5,above,font=\scriptsize]{$p$}}]
]
\end{forest}
\succeq
\begin{forest}
baseline,
for tree={grow=0,parent anchor=east,l sep=35pt}
[
[C,edge label={node[sloped,pos=0.5,below,font=\scriptsize]{$1-p$}}]
[B,edge label={node[sloped,pos=0.5,above,font=\scriptsize]{$p$}}]
]
\end{forest}
\]
\[
A \succeq B
\Rightarrow
\begin{tikzpicture}[baseline,grow=right,level distance=35pt]
\Tree[
\edge node[sloped,pos=0.5,below,font=\scriptsize]{$1-p$}; C
\edge node[sloped,pos=0.5,above,font=\scriptsize]{$p$}; A
]
\end{tikzpicture}
\succeq
\begin{tikzpicture}[baseline,grow=right,level distance=35pt]
\Tree[
\edge node[sloped,pos=0.5,below,font=\scriptsize]{$1-p$}; C
\edge node[sloped,pos=0.5,above,font=\scriptsize]{$p$}; B
]
\end{tikzpicture}
\]
\end{document}
The result:

tikz-cdfor such jobs. – Aug 05 '15 at 14:35