This report presents analyses of the probability of hydro-meteorological hazard occurrence, which were carried out within the RAIN project. Those probabilities and their projected changes during the 21st century are an input to subsequent risk analyses which assist the identification of optimal adaptation measures. The spatial distributions of the probabilities in the present climate were mapped and projections of changes according to the RCP 4.5 and RCP 8.5 climate scenarios were developed. The investigations by the European Severe Storms Laboratory, the Freie Universität Berlin, the Finnish Meteorological Institute and Delft University of Technology focused on thunderstorm-related phenomena, windstorms and heavy precipitation, winter weather and forest fires, and coastal and river floods, respectively.