We have measured fully momentum analyzed Ar3+ recoil ions and two ejected electrons as well as He+ projectiles in coincidence with each other for 30 keV amu-1 He2+ + Ar collisions. Fully differential cross sections for electron transfer from the target to the projectile accompanied by the ejection of two additional target electrons were extracted. To a large extent the data can be reproduced by an independent electron model. However, we also observed a surprisingly strong correlation between the electron momenta and the projectile momentum transfer.