My favorite unlikely scenario is being attacked/killed by predators in the wilds. Being chewed upon by a mountain lion, black bear, coyote, rattlesnake, etc. essentially ain't gonna happen. You are more likely to suffer death or injury at the hands of honey bees or dogs (well, they don't have hands, but you get the point).

Compared to deaths and injuries resulting from falls and drowning, the injuries from wild animals are hardly worth bothering about. It follow that carrying weapons to ward off those attacks is a waste of resources. There are good reasons for weapons, but wild animals are not among them.

Probably the most hazardous activity in which we engage is driving our vehicles.