A review of traditional Probabilistic Risk Assessment (PRA) methods used in the nuclear industry is presented. The shortcomings of the current PRA methods are pointed out. A method of performing a PRA is proposed and is computerized. The role of artificial intelligence in developing and performing the proposed PRA approach is discussed. The proposed PRA approach is verified by comparing the results to previously performed PRAs. The comparisons have supported the adequacy and completeness or the results of the proposed model. A discussion of how the proposed method can be used is an expert system to verify plant status following loss of plant hardware is also presented.