Our problem here in the US is that we overreact to dealing with that <0.1% chance. We make people jump through hoops to get a firearm to even go hunting. We flood our neighborhoods with police who raid homes using grenades and armored personnel carriers. (Usually killing innocents in the process, because, you know, we throw grenades in the windows of some baby's nursery.) And, we have active shooter drills for our children, probably traumatizing some of them for the rest of their lives. The list goes on and on actually.
In America, we pretty much overreact to everything. Which is why you probably hear so many crazy stories about the US. When faced with what we perceive to be a threat, no matter how remote the reality of the threat, we are unable to moderate our responses. In fact, you could argue that we are trained from an early age, via things like active shooter training, NOT to think too deeply about our responses.