Observed and theoretical conditional probability P(CJ|SE). The blue curve approximates the posterior probability density to find 9 cold Jupiter systems in a sample of N_obs =31 super-Earthsystems (Zhu & Wu 2018). Our theoretical population contains 291 systems with super-Earths, 47 of which contain cold Jupiters. The corresponding conditional probability (red curve) is enhanced compared to the overall cold Jupiter occurrence (black dashed line). We further generate a KDE of P(CJ|SE) from 1000 random draws of N_obs synthetic super-Earth systems (dotted line). While we find lower probabilities than Zhu & Wu (2018), an anti-correlation P(CJ|SE) < P(CJ) is unlikely.