“But it is nature. And it can be dangerous.” That quote is from a ranger at Yosemite when asked about the 18 deaths they’ve had this year. But, on average, the parks are safe.
“Jeffrey Olson, a spokesman for the Park Service, said there had actually been fewer deaths at national parks so far this year — 113 through last week — than in the same period last year. And that is out of some 280 million annual visitors to the national parks.”
By my calculations, that’s about 1.5 persons/100,000 visitors. The U.S. average accidental death rate is 37.7/100,000 people So you’re safer in a National Park than you are just about anywhere else.