The electron is going through "both slits at the same time". In fact, unless you measure which slit it's going through, it does not even make sense to ask that question. You can't know which slit the particle went through unless you measured it, and as such asking "which slit" doesn't make sense. It BEHAVES as if it has gone through both, so we infer that it has.
As for the Hummer comment, this is, of course, true. However, if you want to think of the Hummer as a single particle and that single particle being in the state of a Gaussian wave packet in free space, it's going to have a really tight wavefunction, so it will behave fairly deterministically.
Just a quick poll here: how many people posting on this thread have actually taken a course on quantum mechanics?