A direct solution of the time-dependent Schrodinger equation (TDSE) fo
r a two-electron model atom in a strong electromagnetic field is used
to extract probabilities for both single and double electron ionizatio
n. For three-photon ionization at a moderately strong intensity, the T
DSE calculations find single ionization at 62%, single ionization with
excitation at 10%, and double ionization at 3%. The sequential proces
s of escape from an already once ionized atom is found to make a subst
antial contribution to the double-ionization probability. Multiphoton-
ionization probabilities are also obtained from a solution of the time
-dependent unrestricted Hartree-Fock (TDUHF) equations for the same mo
del atom. Although in qualitative agreement with the TDSE results, the
TDUHF results show significantly less single ionization with excitati
on and have a different angular distribution for double ionization.