In this talk we shall show our recent results in understanding the spinparity 0+ ground state (0 g.s.) dominance of many-body systems. We propose
a simple approach to predict the spin I g.s. probabilities which does not
require the diagonalization of a Hamiltonian with random interactions. Some
findings related to the 0 g.s. dominance will also be discussed.Comment: 11 pages and 4 figure