Probability density functions of the derived near-Sun CME magnetic fields for 10⁴ synthetic CMEs in two different cases: using the sample of all (eruptive and non-eruptive) active-region relative magnetic helicity budgets H_m (black histogram) and using only the subsample of eruptive active-region helicity budgets (blue histogram). The horizontal orange bar shows the range of various observational estimates for the magnetic field of the quiescent (i.e., noneruptive) solar corona. In all cases, the estimates correspond to a heliocentric distance of 10 R_⊙.