Redistricting - Partition Problem?

Redistricting is a partition problem. That's king an object and breaking it into pieces, subject to some rules. The best known rules are population, balance, connectedness. But i'm about to say that that doesn't do the work you want it to do. If we didn't have any kind of geographical correlation, if we just assigned everyone a number randomly, uniformly, randomly, from one through nine,  that was their district. We would expect the forty eight % candidate party to win no districts at all - right? And that's just because we've got these great, classic probability theorems,. central limit theorem.