  In this work we address the problem of estimating the probabilities of causal
contacts between civilisations in the Galaxy. We make no assumptions regarding
the origin and evolution of intelligent life. We simply assume a network of
causally connected nodes. These nodes refer somehow to intelligent agents with
the capacity of receiving and emitting electromagnetic signals. Here we present
a three-parametric statistical Monte Carlo model of the network in a simplified
sketch of the Galaxy. Our goal, using Monte Carlo simulations, is to explore
the parameter space and analyse the probabilities of causal contacts. We find
that the odds to make a contact over decades of monitoring are low for most
models, except for those of a galaxy densely populated with long-standing
civilisations. We also find that the probability of causal contacts increases
with the lifetime of civilisations more significantly than with the number of
active civilisations. We show that the maximum probability of making a contact
occurs when a civilisation discovers the required communication technology.
