Top: radial profile of the fraction of binaries (solid line) and single stars (dashed line) belonging to the 2P (the projected distance from the cluster’s center, R, is normalized by the half-light radius, R_hl). Bottom: radial profile of the ratio of the fraction of binaries to the fraction of single stars belonging to the 2P. The shaded regions represent the 25th and 75th percentiles of the 100 realizations of the 2D random projection.