It's basically the perfect rage-bait question, because everyone immediately has an answer based on their emotions and assumes everyone else interpreted the core question the same way.
I'm sorry but I think that's stupid lol. A bear is an incredibly dangerous creature. Being in the woods with a bear means very likely death. A random stranger will likeyly be kind and decently good.
For some reason, I'm reading the "your" here as gendered. Which is weird, because I like to ask my (not terminally online) boyfriend his opinion of online drama, and when I explained to him that women were saying they'd choose a bear over a strange man, he said, "That's the obvious choice. Everyone should chose the bear over a stranger. People are awful."
Gendering it was probably unnecessary. If you made the question "would you rather meet a bear in the woods, or a stranger," most people would say the bear.