I'm wondering about this because I miss this element in most of the discussions around the theme, a human having a heart attack or a stroke behind the wheel is almost certainly going to cause an accident (one sided at best, multiple vehicles at worst). But I don't quite see how that translates into sensor failure (or even CPU failure) in a self driving car.
If I were designing this, I'd have three independent control systems. System A does regular automatic driving. System B monitors system A, but it's only as smart as a stock anti-collision system braking system is now. No AI. It has info from the radar and can slam on the brakes. Maybe steer a bit to get to the side of the road and stop. System C is purely a watchdog - if it detects that systems A and B have failed, it cuts propulsion and applies the brakes. If system C takes over, you may hit something, but won't run away out of control.
I'd ride in a Volvo or Google self-driving car. Uber, Otto, or Cruise, no.
This wasn't about opinions but about the state-of-the-art and the facts as we know them today. What will happen in the future is anybody's guess, my guess is that before long there will be a couple of major crashes involving self driving cars resulting in mandatory redundant systems and redundant (quorum based, see Animats' comment) processing units. Otherwise self driving cars will end up with a bad reputation, even if the chances of failure with any individual vehicle are small.
Statistically speaking the number of components and the their internal complexity are good indicators of how frequently you can expect such a system to fail. Self driving cars are sufficiently complex that these are legitimate sources of worry and simply waving those worries away with what 'will' happen does nothing for me, it is the how that interests me.
If the software they are connected to doesn't know what to do when the camera fails or starts sending bogus data or even to detect that it happens you still may have a lidar, radar, etc. but it doesn't make the system fail-safe.
The amazing thing is how much progress there's been in CPU power. That thing took three racks of computers, and a crew of 5, to drive 5 MPH. They had a 3D LIDAR, though, with a line scanner and a tilting mirror. That was better than most of the LIDAR units until recently.