In a recent letter, Xiao et al.  interpreted experimental results on the failure of nanotube bundles using Weibull Statistics. The prediction of the force versus strain curve was a smooth curve, only partially able to capture the observed discrete behavior of the bundle. In particular, abrupt jumps in the force, at nearly constant strains, were clearly observed experimentally, each of them corresponding to the failure of a sub-bundle. Accordingly, we have developed a simple modification of the Weibull Statistics able to treat the observed catastrophic failure of the bundle, considering a linear or nonlinear elastic constitutive law.