the constraints about the burglars must be incorporated in the network.
The network would look something like in figure~\ref{bnnetworkhouses}
+
\begin{tabular}{|l|l|}
\hline
Joe &\\
\hline
\end{tabular}
-
\begin{figure}[H]
\caption{Bayesian network of burglars and houses}
\label{bnnetworkhouses}