Originally Posted By: Bill S.

One could also argue that the electron is both a particle and a wave...
Probability doesn't enter the scenario.

Of course, one can argue. But, here it is not an argument; present day physics has accepted it as a fact (though provisionally)that 'the electron is both a particle and a wave at the same time'. That acceptance is more of a metaphysical nature.

Probability comes not in the opinion. It comes when you try to locate an electron inside an atom. If it can exist as a wave and a particle, you cannot locate its position; so you have to depend on probability equations to know where it will be. The quantum mechanics (QM)depends mainly on probability equations.