Obviously, such a situation will not happen, but this shows how much influence the luck of the voting system affects the results. With how close our elections are, the winner is entirely determined by how the luck of the voting system ends up.
But it already has. Not _that_ big of a margin, but George W. Bush lost the popular vote vs Al Gore, but still became president due to the electoral system.
http://www.infoplease.com/ipa/A0876793.html