The present disclosure relates to an automated dice tossing apparatus comprising; a main body portion; an elongated toss-arm, having a proximal portion rotatably attached to said main body portion about a pivot axis, a vessel mounted to a distal portion of said toss-arm for holding at least one die; a pneumatic actuator configured to, upon actuation, move the toss-arm about the pivot axis with an ejection force such that at least one die held in the vessel is tossed away from said vessel towards a predefined target area; and control circuitry configured to randomly determine a magnitude of the ejection force within a predefined range in order to randomize a set of initial conditions for each actuation of the pneumatic actuator.