Dakota,
Numbers game -- It all depends on your tolerance for risk and how picky you are about your personal safety.

Here is a post I went back and picked up for you. The author was " Big Country"
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Quote:
I am by no stretch an authority on bear, but I can relate a story concerning a 30-06 on big brownies.

About 15 years back, a guy that brokers hunts all over the world asked me to reload some 30-06 rounds for him to take to Kodiak Island after a coastal brownie.
I suggested that from what I knew that he did not want to use that caliber.
He insisted for sentimental reasons. (he has literally a house full of animals from all over the world, taken with this particular pre 64 model 70 in 30-06.)
Anyway, I loaded up the hottest load I could using 220 grain noslers.
He came home with a bear that went 1150 pounds.

And swore he would NEVER try that again. He claimed the bear was feeding broadside at 110 yards when he poked the first one into the front shoulder. When he racked the next round into the chamber, the bear turned towards the sound, and came on in at a full run. He hit the bear in the brisket with two, and in the face with one, then the guide popped him once in the head at twenty yards to stop the bear.

No doubt many big bear has fallen to a 30-06, but given a choice, I know I would try it with no less than a .338 win mag.

Well, I am gonna try it with a bow, but someone is gonna be there with a big bore!

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Your call! Will there be someone like the guide " right there" to back you up?

Never Go Undergunned,
EKM