And brown bears are less dangerous than cars because fewer people are killed by them. If you see a car, RUN. They are dangerous. Brown bears, not so much. Go ahead, pat their fur, statistically this is safe.
It’s important to understand the qualifier per unit of energy.
The correct parable for you would have been the number of bear deaths vs interactions with bears weighed against number of car deaths vs interactions with cars.
You generally can't really pet a wild brown bear, since they are not interested in humans and would avoid you. You can't run away from it either, since it can outrun you easily