Electron emission statistics (ES) of proton-induced electron emission from Au at keV energy are investigated by applying a Monte Carlo model to describe the transport of electrons. Apparent deviations of ES from Poisson distributions are found in the same manner as experimental ES: larger probabilities for no electron emission and for emission of 2 or more electrons. At low energy, electron cascades produce an important deviation from the Poisson distribution, in addition with deviations due to the backscattering of incident ions.