The risks surrounding the aspect of the slope will be primarily determined by two things: the sun and the wind direction. In both cases, ascending on a leeward facing slope (the side that deposits windblown snow) or one that is either affected by the sun’s exposure (or, indeed, lack of exposure) will have a significant effect on the stability of the snowpack.
Further still, the time of year often affects the risks associated with certain aspects. For example, in the Northern Hemisphere, a south-facing slope will warm far more rapidly with increased sun exposure in the spring, potentially saturating the snowpack and increasing the avalanche risk.
On the other hand, some north-facing slopes may see almost no sun exposure during the early months of the season. That prolonged cold could prevent the snow layers from effectively bonding and be hiding a persistent weak layer.