I was fortunate to work for a great boss when I started my career in EMS. As a rookie, it takes some time to realize that you can't save everyone and that despite your best efforts, people will die. After working my first code with him, something he said was so simple but helped me process this during my short career, "It's a medically proven fact that 10 out of 10 people will die."
The first time I didn't save someone's life was when a gentleman was ejected from a vehicle following a rollover. He was the only person not wearing a seatbelt and the only person who died. Buckle up folks.
I've worked countless codes where the deceased suffered with chest pain for several hours prior to calling the ambulance. One of them was one of our firefighters (arguably some of the worst patients in the world) who had chest pain for 24 hours and we never received a call until he died of a heart attack. Even if you think it's a backed up fart, some heart attacks will not show up on a 12 lead and can only be detected by a physician reviewing your blood values. Get it checked out.
I'm not sure if she ended up dying but I responded to a call where a woman did a head dive down a flight of stairs from her second story patio. More than 10 years later, I still cringe when I see anyone not holding on to a handrail.
A couple deaths related to misuse of prescription drugs (Viagra and nitro pills don't mix).
Even though I worked in a wilderness wonderland where many thousands of people would go snowmobiling, hunting, canoeing, hiking, camping, etc, it wasn't a significant source of EMS calls.
I can't speak for nationwide statistics but it seems many of the fatalities our SAR group deals with are drownings. I know one man who had to shoot a mountain lion who tried to pounce on him. Whether or not he could have scared it off is up to speculation but she was committed. He's a good an honorable man who had a tag anyways so I'm willing to take his story at face value. I've responded to people who fell through the ice but made it. Usually we would get a couple drunk snowmobile fatalities every year.
I guess I'm of the opinion that as long as you use good judgment, drink water, choose your water crossing sites carefully, and listen to your body, the wilderness is a pretty safe place to be.