A combination ribbon for bows or other decorative uses, which includes a central ribbon with a fiber optic cable therein, or at least one translucent cable jacket on one edge of the ribbon with a fiber optic cable therein, which cable has portions of its sheath removed to provide light patterns upon the shining of a light source therein. Also described are lottery tickets or game cards that are adapted use with the game devices along with methods of manufacturing the game cards. This feature improves performance for imaging systems having a limited channel count. In this case, it is preferable to include a half-wave retardation plate or a quarter-wave retardation plate that changes a polarization direction of each component light beam in a combined light beam from an emitting surface of the polarizing beam splitter. Furthermore, the first station includes a filament feed for forming a reinforcement layer in the first belt part. A resampling approach is also disclosed employing scrambled resampling of the original data with one class specified by the data and the other by the explicit distribution, and solving using binary classification.