For bank shots, the dashed line would be the top view of the optimal shot path plane if a rigid ball with no friction bounced off a no-hoop backboard with the angle of incidence equal to the reflection angle. High percentage regions show locations of high probability density. We assume that centre, power forward and small forward players possibly collect rebounding balls in the circle with a radius of 1, 0.9, and 0.8 m, respectively. We distinguish between ball rebound positions and player rebound positions: ball rebound positions have high probability density where the ball rebounds and the best player rebound positions are where players should be positioned to collect the maximum number of rebounding balls within the rebound circle. We draw rebound circles for centres in short-range shots, centres and power forwards in medium-range shots, and centres, power and small forwards in long-range shots in Fig. 1.