Unfortunately, they'll probably know soon enough if they got the wrong bear, because the "right" bear will probably be back if it's still alive. A bear that just goes into a camping area is probably one that has lost it's fear of humans and views them as a food source. It's probably either been fed by people, or it's discovered that foraging through human garbage is an easy source of food. At any rate, that bear is now a menace, and will end up being destroyed at some point. Hopefully, it won't take another child before it is destroyed.
We have the same problem with alligators in Florida. There's a reason why you don't feed these things.