Speaking only for the US (lower 48), and just my 7/10ths of a cent
There's possible brown/grizzly bears in:
Wyoming/Montana/Idaho/Washington (according to FWS)
Look at the square miles of these areas and how few bears there really are.
Outside of YNP the counts go down real quickly
These are Northern Continental Divide (Montana), Yellowstone (Montana, Wyoming, and Idaho), Cabinet-Yaak (Montana and Idaho), Selway-Bitterroot (Montana and Idaho), Selkirk (Idaho and Washington), and North Cascades (Washington). The grizzly population in these areas is estimated at 750 in the Northern Continental Divide, 550 in Yellowstone, 40 in the Yaak portion of the Cabinet-Yaak, and 15 in the Cabinet portion (in northwestern Montana), 105 in Selkirk region of Idaho, 10–20 in the North Cascades
In YNP, in the bear areas, if you go off the beaten trails.. follow the advice for the park service.
We're getting commercials daily now, just to remind folks:
Montana Fish, Wildlife & Parks :: Recreating in Bear Country
In Montana.. I'd guess you'd almost have to go looking for them. A few years back, we were fishing the Upper Gallatin, a ranger asked if we'd seen a grizzly. We hadn't. Evidently a gentleman and his 2 grandsons came across a sow and her cub... and the bears beat a hasty retreat.
I've never seen one outside of YNP.. and then only from the car, far away. And it was avoiding people as best it could.
Of course, there's always the exception.. but I'm sure lightening is a more of a threat than the bears.
Canada.. Alaska.. that's a different story . lol