Inference from the Bayesian (left) and Monte Carlo (right) approaches on the values of the cosmological parameters H₀ and Ω_m in a flat-ΛCDM model, assuming a total relative uncertainty of 5% for both cosmological probes (with fixed z_d = 0.54, z_s = 1.49, and z_SNIa = 0.54). The marginalised posterior distributions for the TDC and the SN Ia luminosity distance methods are shown in blue and green, respectively. The combined distributions are shown in black. The 16th, 50th, and 84th percentiles of the combined marginalised distributions are highlighted with vertical dashed lines, and the corresponding values are reported. The fiducial values are in red. The contour levels on the planes represent the 1, 2, and 3σ confidence regions.