I don't go on social media so I don't really get it but I have seen memes here and there of women getting mauled by bears presented in a "heh, serves her right" kind of way.
So weird that dudes complain that they can't get women when the message they put out there is they hate women and make images of them being brutally mauled. 
EDIT: I did not expect to see people I trust minimise SA here. I'm disappointed, that's something I expect from a random chud blowing in from another instance, not you guys. Most of you were extremely cool in your answers, but to the one or two that weren't. Do fucking better.
I'd just like to add that as a regular ol' cis dude, I'd much rather encounter a black bear than a random guy in the woods. I know how to deal with a black bear 99% of the time, I know how to deal with the random guy 85% of the time. I'm not particularly afraid of either scenario but I'd definitely take the bear.
Make it a grizzly bear and idk, I've never been anywhere that has wild grizzlies so I don't know the proper protocol for dealing with them. Also in the 1% of cases where I can't defuse the situation I think a grizzly just wins that fight. I feel like I can make a black bear give up on killing me.
I still think I'd rather take the grizzly bear that inexplicably hates me than the random guy that inexplicably hates me though. At least the grizzly will tell me how it really feels in very unambiguous terms.
Play dead until you aren't playing anymore, basically
For a polar bear or mountain lion, however, by the time you see it, you're already dead. It already knew you were there, and specifically decided that it wanted to be in your presence.
Never do that useless it's actively killing you. Yell at the bear like you would with a black bear and if that doesn't work, use bear spray (bear spray is the answer most of the time). If a brown bear attacks and knocks you down, that is the one acceptable instance where playing dead is a half decent idea.
deleted by creator
well, first of all, i did say "random guy." as in, a completely random draw of any guy out there. idk how the category of "hikers" self-selects for being more or less violent/unpredictable. but if it's a totally random guy, from what I've personally experienced in my day-to-day life, 15% seems like a pretty reasonable number for "guys who might just snap and kill me for any or no reason"
Obviously not all guys in that category will snap and kill me for any or no reason, if they were that unstable they wouldn't still be out there. But any of them could decide I'm the first at any time. I've had strangers try to kill me for imagined slights before. Only men, at that. Like just to be clear, because I've seen a little more discussion about this, my comment is not of the "well I choose bear only because bears are pretty safe to encounter" variety. If it's a bear vs a random woman I choose the woman any day. No woman ever tried to murder me in broad daylight on busy streets for no reason.