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.

[0]: https://www.iii.org/fact-statistic/facts-statistics-mortalit... [1]: https://webcache.googleusercontent.com/search?q=cache:dnqo-l...