Automated diagnostic analysis apparatus for analyzing patient specimens may include a probe to aspirate and dispense a bio-liquid. A probe tip on the probe may require replacement after contact with each bio-liquid. The automated diagnostic analysis apparatus may include a probe tip eject device and a waste chute for controlled removal and disposal of the probe tip to mitigate splattering or splashing of any residual bio-liquid in the probe tip as it is removed from the probe. A sloped ramp in the probe tip eject device may engage and remove the probe tip as it rotates through the probe tip eject device. The waste chute may include guides to transfer a removed probe tip directly into a waste bin without any surface contact by the probe tip. Methods of removing and disposing of a probe tip in an automated diagnostic analysis apparatus are described, as are other aspects.