  In the framework of the new version of the gedanken experiments proposed by
Sorce and Wald, we investigate the weak cosmic censorship conjecture (WCCC) for
an Einstein-Maxwell-Dilaton-Axion (EMDA) black hole. Our result shows that no
violations of WCCC can occur with the increase of the background solution
parameters for this near-extremal EMDA black hole when the second order
correction of the perturbations is taken into account. Namely, the
near-extremal EMDA black hole cannot be over-charged or over-spun.
