Distribution of the MBHB properties. From left to right: Observed orbital period (P_obs), redshift (z_BHB), total mass (M_BHB), eccentricity (e_BHB), and mass ratio (q_BHB). The grey distributions correspond to the full P_obs ≤ 5 yr MBHB population inside the lightcone. The red distributions correspond to the P_obs ≤ 5 yr MBHBs detectable in the g-LSST band. The solid lines represent the corresponding cumulative distributions.