  We study the single particle velocity distribution for a granular fluid of
inelastic hard spheres or disks, using the Enskog-Boltzmann equation, both for
the homogeneous cooling of a freely evolving system and for the stationary
state of a uniformly heated system, and explicitly calculate the fourth
cumulant of the distribution. For the undriven case, our result agrees well
with computer simulations of Brey et al. \cite{brey}. Corrections due to
non-Gaussian behavior on cooling rate and stationary temperature are found to
be small at all inelasticities. The velocity distribution in the uniformly
heated steady state exhibits a high energy tail $\sim \exp(-A c^{3/2})$, where
$c$ is the velocity scaled by the thermal velocity and $A\sim 1/\sqrt{\eps}$
with $\eps$ the inelasticity.
