PDFs obtained by summing the colormaps of Fig. 11. Here, each bin correspond to the sum of a whole colormap. In the upper panel, we show the PDF for the binary fraction summing all the distribution of periods simulated. In the lower left panel, the one for summing all possible binary fractions and σ_{log P}. In the lower right panel, the one for σ_{log P} summing all possible binary fractions and .