TOP: Distribution of the residuals $M_G^{pred}-M_G^{synth}$ for single and binary samples with corresponding Gaussian fits to the residuals. BOTTOM LEFT: Colour-magnitude diagram of the 100000 single (blue) sources and synthetic color-magnitude diagram with conditionally sampled color and magnitude values (orange). BOTTOM RIGHT: equivalent plot for the binaries with real binaries in (blue) and synthetic color-magnitude diagram with conditionally sampled color and magnitude values (orange).