Left: sensitivity of TESS to transits in the full sample of single-star TOIs. Center: The sensitivity for all binary stars in our sample, with all planets presumed to transit the brighter star. Right: as with the top-center panel, except that all planets are assumed to transit the fainter star. The sensitivity of TESS to small planets around binary hosts is substantially lower than for single-star hosts, especially when the planet transits the secondary star.