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Why haven't you taken the bear pill?
(jlai.lu)
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Some woman on the internet said she would feel safer spending a night in the woods with a random bear rather than with a random man
Where are you getting these odds from? For how many people live in bear regions, go camping/hunting/biking etc, there have not been that many bear attacks. Source
From this scenario I'm obviously assuming you have to be close to the bear for the entire day.
It's not like the bear/man is at the other side of the forest.
And as to where I got my odds from? Well out of my ass. There are no statistics on this extremely specific scenario.