Individual P(O_j|A₀, D)P₀(D) for various stellar types indicated in Fig. 5 using as observables J, H, K photometry only, displayed with a square-root colour scale. The prior on stellar density is chosen here to be uniform, e.g. containing only the cone effect: P₀(D) ∝ D². All stars are located at 4 kpc with an extinction A₀ = 3 mag, with the exception of the red dwarf, which is located at 0.1 kpc without extinction. The real position of the star is indicated by a white point. We see in this plot that the information is mostly carried by the red clump stars and that the Gaia parallax and/or photometry is needed to differentiate a red clump star from a red dwarf.