Probably 1/(2^31 - 2). Random seeds will always be an integer from 0 - (2^31 - 2) as a string - rand.Next().ToString(), where rand.Next returns a number from 0 to 2^31 - 2.
Both the Bees seed and FTW are checked against the text of the seed, so they're out. That leaves only the Drunk world, which is checked right as the world begins generating. Thus, 1 / (2^31 - 2).
There's a chance that this is wrong, but I don't see any issues with it.