The cross sections for single-electron capture, including transfer ionization, and for double-electron capture, have been measured for Ar~++ H& for q =6, 7, 8, 9, and 11 with projectile energies from q eV to q keV. Theoretically, the cross sections for Ar + and Ar'+ impact were calculated using a molecularorbital expansion method in the energy region from 240 eV to 80 keV, and are in good agreement with experiment. The single-electron-capture cross sections were found to be more than one order of magnitude larger than those for double capture in both experiment and theory. The single-electron-capture cross sections were also compared to the Langevin cross section, a scaling law developed by Muller and Salzborn [Phys. Lett. 62A, 391 (1977)],and the absorbing sphere model. PACS number(s): 34.70. +e