This paper describes random finite element analyses of anisotropic 2-D undrained clay slopes with randomly distributed shear strength. The analyses take into account the rotational orientation of the principle axes of anisotropy that might be observed in natural slopes with tilted stratification. Particular focus is placed on the special case in which the spatial correlation in one of the orthogonal directions is set to infinity. It is found  that rotated anisotropy can have a very significant effect on the probability of slope failure. Insight into the reasons for this sensitivity is provided by examining the nature of the failure mechanisms generated in the graphical  output displays.