Are animals that live in areas where avalanches happen equipped to deal with that?
Most animals are not well adapted to deal with avalanches. For example, more mountain goats are killed by rock slides than by predators. http://www.nationalgeographic.com/lewisandclark/record_species_150_11_2.html

Meanwhile, a mountain at risk of snow avalanche must be deep in snow, right? At that point, there is very little food to be found; it's all buried. So there won't be many animals on the surface. Most of them would leave for more hospitable locations, or hibernate.