  We study the statistics of heat exchange of a quantum system that collides
sequentially with an arbitrary number of ancillas. This can describe, for
instance, an accelerated particle going through a bubble chamber. Unlike other
approaches in the literature, our focus is on the \emph{joint} probability
distribution that heat $Q_1$ is exchanged with ancilla 1, heat $Q_2$ is
exchanged with ancilla 2, and so on. This allows one to address questions
concerning the correlations between the collisional events. The joint
distribution is found to satisfy a Fluctuation theorem of the
Jarzynski-W\'ojcik type. Rather surprisingly, this fluctuation theorem links
the statistics of multiple collisions with that of independent single
collisions, even though the heat exchanges are statistically correlated.
