If we look at the election process from a scientific perspective, we can see the choice made for the next president will be arbitrary. In this essay, I'm avoiding many problems inherent in the current system in properly reflecting the will of the people, such as levels of voter turnout, the questions of the legitimacy or appropriateness of the electoral college, and disenfranchisement of segments of the population. The current system simply can't handle extremely close results. There's an inherent margin of error in the current voting system. If the margin of victory is within that margin of error, the victory is in fact arbitrary.
Analogous problems exist in every single state.
These irregularities give the system some margin of error. Of course, everyone's goal is to keep it as small as possible, but there will always be a non-zero number of miscast or miscounted votes. Any margin of victory greater than that is a safe one. Lower than that, and the victory is questionable. Let's pretend that the election is a scientific experiment.