I understand that you can put a small caliber pistol to a bears head and kill it. Their skulls are very thin and we had plenty of them around the house.
I accidentally killed a brown bear with a .22 magnum. I saw another guy accidentally kill one with a .22 pistol in a one in a million shot from maybe 300 yards. However that isn't the same as thinking that a bear attacking you is going to be stopped by a pistol which requires a 1:1,000,000 shot to save your life.
My father who was a registered brown bear guide for the first 20 years of my life once shot an 8 foot brown bear 7 or 8 times with a .270 and it didn't slow down. I watched another brown bear get shot in the face at about 15 yards with a .12 gauge and stripped most of the skin/fur off its face and didn't slow it down.
My summers growing up were spent in rural Alaska dealing with brown bears every day practically and I can't even begin to count the number of people killed / mauled because they thought they had a plan.
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