  We study the probability distribution P(\Lambda) of the cosmological constant
\Lambda in a specific set of KKLT type models of supersymmetric IIB vacua. We
show that, as we sweep through the quantized flux values in this flux
compactification, P(\Lambda) behaves divergent at \Lambda =0^- and the median
magnitude of \Lambda drops exponentially as the number of complex structure
moduli h^{2,1} increases. Also, owing to the hierarchical and approximate
no-scale structure, the probability of having a positive Hessian (mass squared
matrix) approaches unity as h^{2,1} increases.
