(Joint work with Krishanu Maulik and Subhabrata Sen). We start with a white stick of unit length and for a uniformly chosen point, we color the left or right side black with certain probability functions of the distance of the chosen point from one end. We keep iterating this on the white part of the stick, and attempt at characterizing the distribution of the location of ’vanishing white point’ of the stick by the aforementioned function.