Effect of Δmag on TESS sensitivity in binary TOIs. All spectral types are included in each Δmag bin. The top row shows the sensitivity assuming that the planet orbits the primary while the bottom row assumes that the secondary is the host. The Δmag range above each panel in the top row also describes the corresponding panel in the bottom row. At small Δmag, TESS would be equally likely to detect any given planet regardless of which star it transits. However, as Δmag increases, TESS loses its ability to detect planets transiting the fainter star. The data behind this figure is available in 10 .csv files in the .tar.gz package associated with Figure 7. A python script is also available to reproduce the panels in the figure.