Direct imaging is likely the best way to characterize the atmospheres of Earth-sized exoplanets in the habitable zone of Sun-like stars. Previously, Stark et al. (2014, 2015 estimated the Earth twin yield of future direct imaging missions, such as LUVOIR and HabEx. We extend this analysis to other types of planets, which will act as false positives for Earth twins. We define an Earth twin as any exoplanet within half an e-folding of 1 AU in semi-major axis and 1 R ⊕ in planetary radius, orbiting a G-dwarf. Using Monte Carlo analyses, we quantify the biases and planetary false positive rates of Earth searches. That is, given a pale dot at the correct projected separation and brightness to be a candidate Earth, what are the odds that it is, in fact, an Earth twin? Our notional telescope has a diameter of 10 m, an inner working angle of 3λ/D, and an outer working angle of 10λ/D (62 mas and 206 mas at 1.0 µm). With no precursor knowledge and one visit per star, 77% of detected candidate Earths are actually un-Earths; their mean radius is 2.3 R ⊕ , a sub-Neptune. The odds improve if we image every planet at its optimal orbital phase, either by relying on precursor knowledge, or by performing multi-epoch direct imaging. In such a targeted search, 47% of detected Earth twin candidates are false positives, and they have a mean radius of 1.7 R ⊕ . The false positive rate is insensitive to stellar spectral type and the assumption of circular orbits. and HabEx are being motivated based on their ability to characterize Earth twins.Brown (2005) presented a "photometric and obscurational single-visit completeness" method to estimate the chance, for a particular star, that a companion exoplanet is detectable during one visit given that the planet exists. In their model, "photometric" refers to the condition that the planet/star contrast must exceed the inherent instrument floor in photon counting. "Obscurational" refers to how the planet and its star must be positioned in the sky plane, such that the planet is outside the inner obscuring disk of the coronagraph or starshade. This inner working angle (IWA) is defined technically as the angle at which transmission decreases by 50%. Coronagraphs may also have an outer working angle (OWA), beyond which starlight is no longer ade-