A simplified procedure for the risk assessment of the consequences of a seismic attack on an r/c building is presented in which the seismic hazard is taken from the probabilistic definition given by the national code and the vulnerability of the structure is evaluated according to a multi-scenario view. Three damage scenarios characterized by the extension of the structural collapses are considered for the risk evaluation. For each scenario the expected consequences on the building and occupants, injured and casualties, are computed. The calculation of consequences is based on the evaluation of a damage indicator that takes into account the extension of collapses of structural and non-structural elements. A risk indicator expressed in terms of annual probability of expected losses is finally determined.