This paper deals with the probabilistic study and analysis of stresses produced due to the blood flow in a stenosed and a non stenosed artery using FEM. The probabilistic analysis was done using the random variables and their mean values (varying +/- 10%) to compute the sensitivity factors. Normal distribution was assumed for all the random variables. Similar procedure was employed for the stenosed artery and the solutions are produced in the form of easily understandable graphs and diagrams which can be used for diagnostic purposes.