in insurance, there are several concepts of the term “risk”. First of all, this concept means randomness that may happen being out of control, but does not have to happen. Probability event or a set of events in case of occurrence of which the insurance is carried out. Insurer’s responsibility may also be understood under the concept of “risk”: insurance facility is at risk, i.e. on its responsibility. Further “risk” may mean an insurance facility: for example, a ship. Finally, “risk” may be understood as a certain type or even subject of insurer’s responsibility. It is determined on the basis of statistical data, empirically and on the basis of probability theory. Reliability of risk assessments is verified by constructing various economic and mathematical models (actuarial calculations). It is important to determine the amount of an insurance fund.