When I worked in Banff National Park, we had both black bears and grizzleys. It was important to know the difference between the two. Under normal circumstances, a black bear with do anything to avoid confrontation. He will be drawn by food, he may get scrappy, but typically he will back down and run from you if you appear larger or more aggressive (unless she is protecting her young or feels totally trapped).
A grizzley bear will not back down if he feels threatened. If you run or try appear aggresive at all, you're in trouble. We have seen then actually shaking trees with people in them when they are mad, and a large male can knock a tree down.
They are possessive of their territories, the men are possessive of sows, the moms are possessive of babies, they will scrounge in anything to get food, and they hate to be startled (hence the bear bells on hiker's boots, or hikers will sing or make a lot of nosie so they don't startle one. Most will leave if they hear you coming). Like Eraser said, an unjured black bear would be the best bet. They are unpredictable, would try to fight, but depending on the injury would probably be unable to do much damage. If ithas a broken jaw (which does happen) the animal would be weak from not being able to eat, would be in pain, would not be able to bite.
mary (who has actualy kicked a black bear in the butt when it was in her garbage cans, and watched it run away, but who would never do that to a grizzley bear because she would have to change her name to stumpy).
ETA: and bear meat can be very tasty but is tough and gamey if not marinated or prepared properly.