How costly were those injuries? When accidents happen and the disputes wind up in court, they don’t tend to generate enormous payouts. According to a service called Jury Verdict Research, the median jury award for liability cases in 2010 for vehicular accidents was just $19,806.

That said, outsize awards are common enough (topping out at just over $13 million that year) that the average award was $181,197. And according to ISO, an insurance risk information service, about 5 percent of bodily injury claims in 2010 were for more than $100,000 while about 2 percent reached $300,000.

The odds of running into people with no insurance at all to pay for your claims against them are probably higher than you think. The Insurance Research Council’s most recent estimate, from 2009, is that 13.8 percent of all United States drivers have no insurance at all. In Florida, it’s 23.5 percent, and in Michigan it’s 19.5 percent.

ISO estimates that about 20 percent of people who do have insurance purchase just the minimum liability coverage in case they hurt someone else. Their policies may pay out as little as $25,000 in many states. That’s why Kirby Francis remains glad six years later that his parents had $500,000 in underinsured motorist coverage back when someone crossed a highway line in Oregon and plowed into him head-on while he was driving home from college.

The other driver, who ended up dead in a canyon 200 feet below the road, had just $50,000 in coverage. By the time Mr. Francis punched his way out of his burning vehicle, with a lacerated spleen, a broken tibia, and his elbow in six pieces, he was in need of $130,000 in operations and other medical care, including radiation treatments for his arm that his health insurer wasn’t going to pay for. He also said that he received a $200,000 settlement for his troubles, beyond the reimbursement for medical costs that mostly went to his health insurance company.

So we begin with these basic facts, and then there are other people’s stories. But in the end, there’s just you and me, and if we’re honest with ourselves, we’ll acknowledge the specific risk factors that leave us particularly vulnerable. We may drive drunk, tired, quickly, at night or with a mobile phone in one hand.