Actually, OP's figures are pretty much backed up by the figures you get when googling this question.
Chances to die of a car crash/ any kind of vehicle crash is about 1 in 100 according to here [0].
I can't find something similar straight away for injuries, but car accidents are ubiquitous and 2m people are injured every year (vs 30k fatalities) [1; cached]. So something above >20% seems plausible.
https://www.theguardian.com/news/datablog/2011/oct/28/mortal...
mortality due to transport accidents / total deaths = ~2000 / ~500000 ~= 1/250 or 0.4%