  The nature of the velocity distribution of a driven granular gas, though well
studied, is unknown as to whether it is universal or not, and if universal what
it is. We determine the tails of the steady state velocity distribution of a
driven inelastic Maxwell gas, which is a simple model of a granular gas where
the rate of collision between particles is independent of the separation as
well as the relative velocity. We show that the steady state velocity
distribution is non-universal and depends strongly on the nature of driving.
The asymptotic behavior of the velocity distribution are shown to be identical
to that of a non-interacting model where the collisions between particles are
ignored. For diffusive driving, where collisions with the wall are modelled by
an additive noise, the tails of the velocity distribution is universal only if
the noise distribution decays faster than exponential.
