Trajectory-based games of chance are described that are, in certain embodiments, implemented on a video gaming machine. In one embodiment of a trajectory-based game of chance, a trajectory of a game object is generated in a 3-D gaming environment. A wager is made on an aspect of the game object's trajectory in the gaming environment such as a termination location for the trajectory of the game object. The aspect of the game object's trajectory occurs according to a known probability. Hence, an award for the trajectory-based game of chance is proportional to the probability of the aspect of the game object's trajectory occurring.