Comparison between expected fractions of clusters with RH (black lines) and observed f_RH (red regions) in the three (redshift, mass) bins outlined in Fig. 6. Low-mass bin values are reported in the left panel, and high-mass bin values are plotted in the right panel. For each bin, the reported observed minimum and maximum value of f_RH is f_RH(MC) with U = no RH case and f_RH(MC) with U = RH case, respectively (see Table 1).