We summarize the results of numerical calculations of HD+ in a 7.1 fs (intensity full width at half maximum) 790 nm laser pulse. The molecule is assumed to be aligned with the linearly polarized laser field and includes two electronic and one nuclear degrees of freedom. We report total dissociation and ionization probabilities from the lowest 10 vibrational states for a range of intensities from 1013 to 7× 1014 W cm2. The conditions for the observability of carrier-envelope phase (CEP) effects for a mixed initial state and for intensity averaging over the laser focal volume are discussed in detail.