We study the probability distribution P(\Lambda) of the cosmological constant\Lambda in a specific set of KKLT type models of supersymmetric IIB vacua. Weshow that, as we sweep through the quantized flux values in this fluxcompactification, P(\Lambda) behaves divergent at \Lambda =0^- and the medianmagnitude of \Lambda drops exponentially as the number of complex structuremoduli h^{2,1} increases. Also, owing to the hierarchical and approximateno-scale structure, the probability of having a positive Hessian (mass squaredmatrix) approaches unity as h^{2,1} increases.
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