  In a previous paper we found that in the context of the string theory
``discretuum'' proposed by Bousso and Polchinski, the cosmological constant
probability distribution varies wildly. However, the successful anthropic
predictions of the cosmological constant depend crucially on the assumption of
a flat prior distribution. We conjectured that the staggered character of our
Bousso-Polchinski distribution will arise in any landscape model which
generates a dense spectrum of low-energy constants from a wide distribution of
states in the parameter space of the fundamental theory. Here we calculate the
volume distribution for $\Lambda$ in the simpler Arkani-Hamed-Dimopolous-Kachru
landscape model, and indeed this conjecture is borne out.
