Large predators have a species memory that tells them in general messing with a human scent can easily lead to a bad day for you. Because we have spent millennia hunting and killing them. So they have learned to avoid us directly.

This does not mean that that in certain instances, such as starvation or if they feel cornered and trapped, that you can't get hurt by them. So when I go out into the forest, and where I live we have black bears, wolves, and now permanent cougars-- and not the ones you might find in a bar on Friday nights either --the only one of those three I find a bit dicey to be around is the cougars. Bears and wolves really don't like people and make themselves very scarce very fast once they know you are there if there is an open escape route they can take.

Big cats, on the other hand don't appear to be the brightest bulbs in the box. And tend to be more of an issue for humans mucking about in the wilds where the cats are found. When I do venture out into areas that I have seen sign or even worse, spotted a cat, I do tend to carry a pistol for self defense in those areas. I've not needed to use it and very much hope not to ever need it. But being 'forearmed is to to be forewarned' so to speak.