  The aim of this note is to estimate the tail of the distribution of the
number of particles in an interval under determinantal and Pfaffian point
processes. The main result of the note is that the square of the number of
particles under the determinantal point process whose correlation kernel is an
entire function of finite order has sub-Poissonian tails. The same result also
holds in the symplectic Pfaffian case. As a corollary, sub-Poissonian estimates
are also obtained for exponential moments of additive functionals over pairs of
particles.
