The Enskog-Boltzmann equation for a homogeneous freely evolving system of s
mooth hard disks colliding inelastically is solved by means of the direct s
imulation Monte Carlo method. The distribution function shows an exponentia
l high velocity tail, while it is Gaussian for small velocities. The numeri
cal results are compared with recent predictions of approximate analytical
theories and quite good agreement is found. [S1063-651X(99)01601-3].