Gregg Easterbrook provides a good example of how difficult people often find to discern the relative weight of risks:

The first consideration is that both absolute numbers of football deaths and rates of death compared to participants are in long-term decline — mirroring the decline in many forms of risk in society. Age-adjusted rates of all deaths in the United States have declined for 10 consecutive years. Auto fatalities have been declining for more than a generation. Winning the War on War, an important new book by Joshua Goldstein [. . .] shows that despite the impression created by cable news, exposure to violence is in decline both in the United States and worldwide.

[. . .]

Data from the National Center for Catastrophic Sport Injury Research reflects a steady decline in deaths caused by football. Table 1 of the center’s most recent report shows that in the past decade, 34 high school, three pro and two college football players have died as the direct result of games or practices, with the primary cause of deaths being heat stroke. That is entirely awful — but much lower than the rate of a generation ago. In 1968 alone, 26 high school players died as a direct result of football; last year, the number was two. Table 3 of the report shows the direct fatality rate from high school football peaked at 2.6 deaths per 100,000 players in 1969 and declined steadily to 0.13 deaths per 100,000 in 2010. That means a 1968 high school football player was 20 times more likely to die than a 2010 player. (The main reason for declining deaths was that football helmets were improved to eliminate skull fractures.)

[. . .]

How to compare the slight risk of a terrible football outcome to other common risks experienced by the young? Consider the risk of being in a car. About 3,000 teens die each year in car crashes. There are about 21.3 million Americans between 15 and 19 years of age. Teens average about 146 miles driven per week, roughly 150 hours per year of driving. These figures yield a roughly one in 1 million chance that a teen will die in an hour of driving. The National Federation of State High School Associations reports that 1.1 million boys (and a few girls) played high school football last academic year. A typical high school football season would include, in games and practice, perhaps 75 hours of exposure to contact. That’s about 80 million total hours of exposure to contact on the part of high school football players. The National Center for Catastrophic Sport Injury Research reports a recent average of three deaths per year directly caused by high school football. That’s a roughly one in 27 million chance of a high school player dying from an hour of football contact.

These are all rough estimates. Taking them together, a teenager has a one in 1 million chance of dying in an hour behind the wheel, compared to a one in 27 million chance of dying in an hour of football contact. Being in pads on a football field is less deadly than driving to high school for class. Many contemporary parents, especially moms, might say, “I don’t want you playing football because it’s so dangerous, but it’s fine for you to drive to the mall.” As regards mortality, this misperceives the risks.