Cumulative number of KN and KN+GRB counterpart detections obtained as a function of the redshift for ET for both ET-triangle and 2L. The thick lines indicate the 1200 s exposure strategy and the thin lines the 600 s exposure. The detections were obtained following up all the events with a sky localisation smaller than 100 deg² for ET alone (top panels), 20 deg² for ET+LVKI (middle panels) and 5 deg² for ET+1CE (bottom panels). The left panels show the results obtained for the uniform NS mass distribution, while the right panels show the ones obtained for the NS Gaussian distribution. All plots refer to the BLh EOS.