A method is provided for determining where a cue ball must cause an object billiard ball to strike a bumper of a billiards table in order to drive the object ball into a selected pocket of the billiards table of the type having two opposed end rails and two opposed side rails. A second method is provided for determining where a cue ball must strike a bumper of a billiards table in order to rebound and strike an object ball, driving the object ball into a selected pocket of the billiards table.