The course is divided in two parts. In the first part, concerning statistical methods and Monte Carlo techniques, the fundamentals of probability and statistics are given, the Monte Carlo method is introduced and its possible applications to various technical fields are illustrated. The objective of this part of the course is to give the students the required knowledge to solve a technical problem with a statistical approach.
In the second part of the course, focused on risk analysis, the methodologies adopted for the improvement workers' safety and prevent/mitigate the risks associated to major accidents are presented in relations to different technological applications. Deterministic and statistical techniques adopted for risk analysis are presented and some specific information and procedures for the evaluation and management of major hazards in process plants are given (Seveso Directive).
Lectures are complemented with exercise sessions where specific problems are analysed and worked out as applications of the theoretical presentations. The students are required to carry out independent activities on the subjects of the course and to present a written report on the work done.

At the end of the course the student should:
- know the fundaments of probability and statistiscs and of the Monte Carlo method;
- be able to apply the Monte Carlo method for the solution of problems in different fields of application, including risk analysis
- be able to provide the structure of the risk analysis in the industrial field, identifiying relevant hazards, defining the expected accidental sequences, estimating their probability, and assessing, by simplified tools, the related consequences.
- be able to suggest prevention and mitigation measures to reach an acceptable risk level.

Basic concepts of mathematics, chemistry and physics as obtained in the bachelor's degree program, concepts on process plants, thermal-hydraulics and fluid dynamics.