When you are in the woods in bear country you shouldn't go it alone. EVER!
You also do not need all that much gun while in bear country. Anything larger than your typical pocket 22 or 25 caliber pistol for bear protection is a complete waste and just takes up needed space.
The pistol isn't for shooting the bear but rather to pop your "buddy" in the knee as the bear charges so you can get away.
You know, a good buddy would lay his life on the line for you.