I see a black bear as the least of your worries while out and about in wooded areas. Deer hunting in West Virginia seeing bear scat was common. So one day I am sitting on a rock just maybe 100 feet above the river. Just beyond a grove of heavy shrubbery. I had my Ruger 44 Carbine across my legs. Heard something so here I sit expecting my venison and out walks a large black bear. I look at bear and bear gets up on his hinds and looks at me. Bear drops down to all fours and walks down towards the river.
Black bear attacks are rare and very rare. Maybe one per year on the North American continent. Fact is black bears will go out of their way to avoid human contact. If you happen to be walking with a dog just keep the dog calm. Obviously you may have an issue if you manage to place yourself between a mother and her cubs. Anyway, again maybe one black bear attack on the North American continent per year.
Black bear attacks on humans are rare but often begin as scuffles with dogs, experts say.
Educate yourself on the behavior of black bears.
Mountain lions are thin skinned so it really does not take a heavy cartridge to bring one down. A .223 Remington in a rifle is more than adequate or in a handgun a .357 Magnum is more than adequate. Any shot you take is likely well within 50 yards so I see no need for anything above a .357 Magnum revolver for a thin skinned mountain lion, cougar, puma or choose a name.
You may want to check with your local fish and game people.
This poor black bear showed up literally up the block from me in the Cleveland, Ohio suburbs. The fish and game wildlife guys put him at about 400 pounds and it's pretty apparent this bear wanted nothing to do with humans.
Ron