We performed a kinematically complete experiment on double ionization accompanied by single capture in 30 keV/amu He 2+ + Ar collisions. The data were systematically analyzed using three different techniques, namely fully differential cross sections as a function of the electron emission angle of each electron, the correlation function and four-particle Dalitz plots. The data can to a large extent be explained within the independent electron model. However, the correlation function reveals small, but significant effects from correlations in the initial target state. These correlations strongly depend on the interaction between the nuclei of the collision partners. Furthermore, a surprisingly strong correlation between the electron momenta with the momentum transfer, reported earlier, was confirmed.