If you're on a desert island and you have 2 watches instead of 1, the probability of failure (defined as "don't know the time") within T years goes from p to p^2 + epsilon (where epsilon encapsulates things like correlated manufacturing defects).

So in a way, yes.

The main difference is that "don't know the time" is a trivial consequence, but "crash into a white truck at 70mph" is non-trivial.

But it's the same statistical reasoning.