Plenty of us did as children as recently as the 90s, and even at that point it was less common than previous generations. I wouldn't do it today either, but the reasons are societal and/or emotional rather than any high statistical danger.
Yes of course! My entire childhood was spent running around in the woods. Bears and mountain lions are rare and most of them are more scared of you than the other way around. No more than a small handful of people are attacked by those across the entirety of North America, the last time a child was killed by a mountain lion was about 25 years ago. There were only two or three fatal mountain lion attacks against kids in the 90s, two in the 80s, and three in the 70s.. there are less than 20 of these kind of incidents in the entire 20th century across all of North America. Why the hell would you bring up such an unlikely risk? And fatal bear attacks are only marginally more common, they're still incredibly rare.
Your kids are many thousands of times more likely die from choking on food than by getting attacked by an animal in the woods, do you ban grapes in your house? How did you become so cowardly? Forbidding kids from playing in the woods is absolutely pathetic, reading your comment left me with a feeling of visceral disgust.
I actually went to school with a kid who was run over by a lawn mower. He survived but it chewed up the side of his leg and left him with a limp. I think he was lucky he could still walk at all.
I personally like to think of the stats too, but then again, why wear a seatbelt?
There are only one or two kids killed by snakes per decade in the US: https://en.wikipedia.org/wiki/List_of_fatal_snake_bites_in_t...
Spider deaths are even more rare. Brown recluses are pretty spooky though.