In the United States, it is often a raw point discussing the issue of redistricting, or so unfavorably called, "Gerrymandering."
Background: In the United States House of Representatives, each State is allotted a number of representatives based on the State's population. Within the state, each of its representatives are assigned a geographical "district." The point of contention comes with the fact that a states Governor may periodically get to redraw the districting lines.
My question is: mathematically, probabilistically, can this work? My intuition tells me that if one line is moved over to improve the chances of one side winning one district, won't that just hurt the chances of winning the other?