Cumulative distribution of 2MASS point sources of different H-band magnitudes in a 15′ radius around our detected binary candidates, represented by the red line for 2M1510, the green line for 2M1547, and the blue line for 2M2202. The dashed lines indicate the secondary component H′-band magnitude for each respective binary and the corresponding cumulative number of point sources that are brighter in the field. The field around 2M2202 is somewhat less dense than that around the other two, and the estimated chance of any of our binary candidates being a background source is on the order of ∼10⁻⁵ or smaller.