Even though in absolute terms there are more deaths by automobile, that is also because people are typically around cars more frequently than they are on planes. I.e. any given school shooting or plane ride IS more risky than any given bath or car journey, but the latter occur much more frequently.
Not sure exactly what the numbers are.
Cars & trucks 5.75 deaths per billion miles
Commercial airlines 0.06 deaths per billion miles
So airlines are a couple orders of magnitude safer by miles traveled.In my own personal case I put about 10,000 miles on my car each year, and I travel about 50,000 - 80,000 miles on an airplane. So airlines are still safer as I don't travel 2 orders of magnitude farther on them.
[1] http://money.cnn.com/2015/05/13/news/economy/train-plane-car...
[1]: https://www.statisticbrain.com/airplane-crash-statistics/
The same page gives the odds of dying in a single airplane flight as 1 in 29.4 million. The odds of dying per mile driven are approximately 1 in 174 million. On that basis, your 10 mile journey has a risk of death of approximately 1 in 17.4 million - death is 1.7x more likely.
There's probably a bunch of other ways to interpret the statistics - car miles aren't created equally either, there's a difference between long haul and short haul flight fatality statistics, there's a big difference based on where the airline operates. It's (like all things in life) not very clear cut.
And if you qualify the airline deaths based on journey type then you also need to qualify the car trip by journey type. As he is presumably sober, not tired, using a seat belt, not speeding 30+ MPH over speed limit etc his risks of dying over 10 miles is less than half that of the average 10 miles driven.
So, his risk of death per trip is actually higher when flying.