Probabilistic seismic hazard assessments (PSHA) represent one of the most practice-oriented products seismology can offer to society. As seismic load information, results of PSHA build the basis for earthquake-resistant building codes and safety proofs. They
form the decisive input for seismic risk assessments and are, with this, of importance for the insurance industry. Thereby, PSHAs contribute directly to the reduction of earthquake risk, since the earthquake-resistant design of buildings represents the only
sustainable protection against this kind of natural hazards. This contribution provides in a compressed form a view into the methodical basis of PSHA. In the focus are here mathematical models, which enable the generation of PSHA with quantified uncertainties on the basis of geophysical and geological data. Typical results of a PSHA are presented in form of seismic hazard curves, seismic hazard maps and response spectra for the national code DIN19700 for safety proofs of hydraulic constructions like, e.g., dams of water reservoirs (Gr?nthal, 2008; Gr?nthal et al., 2009b).