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We present a new Bayesian approach to constrain the intrinsic parameters(stellar mass, age) of the eclipsing binary system CEP0227 in the LMC. Wecomputed evolutionary models covering a broad range in chemical compositionsand in stellar mass. Independent sets of models were constructed either byneglecting or by including a moderate convective core overshooting (beta=0.2)during central H-burning phases. Models were also constructed either byneglecting or by assuming a canonical (eta=0.4,0.8) or an enhanced (eta=4) massloss rate. The solutions were computed in three different planes:luminosity-temperature, mass-radius and gravity-temperature. By using the BayesFactor, we found that the most probable solutions were obtained in thegravity-temperature plane with a Gaussian mass prior distribution. Theevolutionary models constructed by assuming a moderate convective coreovershooting (beta=0.2) and a canonical mass loss rate (eta=0.4) give stellarmasses for the primary Cepheid M=4.14^{+0.04}_{-0.05} M_sun and for thesecondary M=4.15^{+0.04}_{-0.05} M_sun that agree at the 1% level withdynamical measurements. Moreover, we found ages for the two components and forthe combined system t=151^{+4}_{-3} Myr that agree at the 5% level. Thesolutions based on evolutionary models that neglect the mass loss attainsimilar parameters, while those ones based on models that either account for anenhanced mass loss or neglect convective core overshooting have lower BayesFactors and larger confidence intervals. The dependence on the mass loss ratemight be the consequence of the crude approximation we use to mimic thisphenomenon. By using the isochrone of the most probable solution and a Gaussianprior on the LMC distance, we found a distance modulus 18.53^{+0.02}_{-0.02}mag and a reddening value E(B-V)= 0.142^{+0.005}_{-0.010} mag that agree wellwith literature estimates.

On the evolutionary and pulsation mass of Classical Cepheids: III. the case of the eclipsing binary Cepheid CEP0227 in the Large Magellanic Cloud