LIP cigarette paper is usually a standard cigarette paper on which zones with starch or another material with reduced air permeability have been printed equidistantly. The porosity of the LIP zones (reduced porosity zones) is designed so that the cigarettes will “stop” (minimum 75% test) smouldering when both conditions, that is, not puffed and in contact with a substrate, are satisfied. Currently, for technical reasons, the manufacturing of LIP products generates bands on the cigarettes that fall completely at random positions. We decided to study the impact of the band positioning (random and controlled) taking into account the moment when the smoker drops his cigarette. In order to assess the impact of the band position, we have developed an approach based on simulations using specific laws of probability to take into account the moment when the smoker drops his cigarette, the position of the LIP band, and the capacity of the LIP band in stopping the combustion. The burning time after dropping was used to determine if the control of the band position could be beneficial in improving the safety from burning cigarettes.