I have yet to see a bear in the woods that did not take off full tilt the moment he realized what I was. ( A rock hard cold blooded killer ). Alberta bears and such might be packing a bit more piss and vineger but for themost part eastern bears know the fear of man.
Heck I would run if I thought the guy was packing say a .45 cal ultra. .
Oh yes probably already said above but DON'T play dead. Bear like to eat dead things.

Or a well placed arrow on a charging bear???? NAH...