Note that the wave in question, commonly referred to as Schrodinger's Wave, "is not in physical space", and does not give the probability of where an object is -- the object has no physical existence. The wave function gives "the probability that if you look, you will "observe" (emphasis mine) the object at a particular place". When nothing disturbs it, an electron does not exist in any place. "Quantum mechanics brings probability to the heart of the evolution of things."