A stochastic version of Mason's modification of the Frank chiral amplification model is examined. The initial state of the system is chosen to be strictly racemic. Nevertheless, the system always evolves to a monochiral terminal state. Two characteristic times are considered: the separation time t(0) - the moment after which the sign of the enantiomeric excess remains unchanged, and the parting time t(p) - the moment when the enantiomeric excess reaches 1% of its final value. Whereas t(p) depends (in average) linearly on the logarithm of the magnitude zeta of the fluctuations of the respective rate constants, the separation times are (in average) independent of zeta. (C) 2003 Elsevier Science B.V. All rights reserved.