(Left) Samples generated for b and p using rejection sampling (black and gray points) for the case (p_u, p_l) = (0, 1). Gray points denote the unphysical regime for the (b, p) pairs (see text), with the dashed blue line indicating the limit at which this happens (b = 1 + p). Blue dots with letters indicate the vertices of the geometry of the problem outlined in the text (Right) Samples generated with the algorithm outlined in this Research Note.