Earlier quoted context omitted.
I know it is rare, but this situation can arise through no error of the car's controls. Consider the failure of the car's master cylinder. If your Brakes don't work, then this might be the exact choice you make. I don't want to sound overly cynical, but I somehow doubt that self-driving cars are going to suddenly make cars more reliable. Mechanical failure are not a common cause of crashes - http://www-nrd.nhtsa.dot.…
Consider the failure of the car's master cylinder. I realize it's just one example to make a point, but automotive master cylinders don't completely fail all at once since about fifty years ago. What causes a master cylinder to fail is a failure of the seals. But because modern master cylinders have "dual channels" (for lack of a better description), half of it might fail, but it's so unlikely for both sides to fail…
Your examples of tire/ball joint failure is of course much better.