Impact of the correlation of satellite numbers on the aperture statistics of mixed lens pairs. Satellite numbers are either fully correlated (r^ab = 1, blue lines), uncorrelated (r^ab = 0, black lines) or anti-correlated (r^ab = −1, red lines). Solid lines indicate the total aperture statistics, dashed lines the 1-halo, dotted lines the 2-halo, and dash-dotted lines the 3-halo term.