Every message is equally likely when you attempt this kind of brute-force decryption with a one-time pad. The code you get is actually 100% unbreakable if the pad isn't intercepted.
replyI think there's some confusion in this thread. GGP talks about distributing the one time pad via the numbers station. GP (rightly) says that's a stupid idea.
replyThe numbers station should be transmitting a message encoded with a one time pad. The one time pad itself should be physically given in person to the spies who you want to communicate with.
Or, if one is uncertain whether to trust the courier between you and your spy - one can send two different one time pads by two different couriers. If the spy is trained to xor those pads together before using, an enemy must intercept both pads to be able to read your messages.
replyThere are many variants on this, including pads which you hope your enemy will intercept.