Based on the conclusion that the contribution of correlated decay of two vacancies in atoms is small，the de-excitation process of Mg1+(1s-1) hollow magnesium ions with single K-vacancy and Mg2+(1s-2) double K-vacancy were treated by applying the radiative-single Auger - double Auger cascade model（RACDA）. The final-charge-state distribution(FCSD) of these hollow ions were calculated，and compared with that obtained with the radiative-single Auger cascade model（RAC）. The probability of tetravalent ion production via the de-excitation of Mg1+(1s-1) obtained by RACDA model is considerable，but tetravalent ion is not produced in the by RAC model. The probability of hexavalent ion production via the de-excitation of Mg2+(1s-2) obtained by RACDA model is very large，but hexavalent ion is not produced in the RAC model.