  Measurements by the Belle Collaboration of the cross section for inclusive
J/psi production in e^+e^- annihilation have been a serious challenge to
current heavy-quarkonium theory. Especially, the measured cross sections for
exclusive J/psi+eta_c and inclusive J/psi+cc-bar+X differ from nonrelativistic
QCD predictions by an order of magnitude. In order to check if other available
alternative theory can resolve such a large discrepancy, we calculate the cross
section for inclusive J/psi+cc-bar+X based on the color-evaporation model. As a
phenomenological model, the color-evaporation model is still employed to
predict cross sections for inclusive quarkonium production in various
processes. Our results show that the color-evaporation-model prediction is even
smaller than the nonrelativistic QCD prediction by an order of magnitude. The
resultant color-evaporation-model prediction for J/psi+cc-bar+X fraction in the
inclusive J/psi production cross section is 0.049, while the empirical value
measured by the Belle Collaboration is 0.82.
