Arming yourself is a good thing to do, but carrying a portable radio is another alternative as it alerts the bears to your presence and allows them time to get out of the area.
Most attacks happen when bears are surprised or a female has cubs and you get too close.
Nothing more vicious than a mama bear with babies!
http://www.southeasternoutdoors.com/wildlife/mammals/black-bear-attacks-fatal.html
Heh, out of the first 5 or so, how many do you actually think were done because of proctection of cubs?