Mine haulage drifts are the primary access to the mining blocks of an ore body in a multi-level mining system of a tabular ore deposit. Drift instability could lead to serious consequences such as injuries, production delays and higher operational cost. A nonlinear, elastoplastic, two-dimensional finite element model is created to represent typical mining layout most commonly adopted in Canadian underground metal mines. Mohr-Coulomb yielding failure criterion is adopted with respect to lower and same-level mining and filling steps in the vicinity of the haulage drift. The haulage drift stability is evaluated on the basis of the primary rock support system comprising 1.8m resin grouted rebars in the drift walls and in the back. For the purpose of this study, the minimum anchorage length of rock support is taken as 30 cm (12-inch). The drift unsatisfactory performance occurs when the extent of yielding exceeds 1.5m resulting in insufficient anchorage length beyond the yield zone. The probabilistic method of analysis is then invoked to study the probability of unsatisfactory performance of the haulage drift. The results are presented and categorized with respect to probability, instability, and mining stage.