Professor Edoardo PatelliHAMAD NASSER HAMAD BIN-GHANEM2022-05-282022-05-28https://drepo.sdl.edu.sa/handle/20.500.14154/37644Science has significantly and noticeably developed around the world in various fields. One of the most important of these fields and considered the basis for many sciences is mathematics. The development of this science contributed to the creation of several fields such as simula- tion and statistics. These two areas greatly contributed to the development of obtaining results with great accuracy that is almost realistic. In this research, solutions to the problems raised by the NAFEMS organisation were found. The first challenge involves finding the probabilities that tensile stress exceeds the yield stress value. The probability value in the first challenge is estimated at 3.8 %, which is considered a weak value, but it must be handled with caution to ensure the integrity of the structure.The second challenge is to find the odds that the stress around is more than the stress of submission to the ship.The value of the probability in the second challenge is estimated at 1.14 %, and this percentage is considered small, but in extraor- dinary circumstances, care must be taken and maximum measures are taken to ensure that this percentage is reduced. This reduction contributes to the ship’s arrival to safety. The solution for the two challenges was found by the theoretical method, and then the solution was reproduce by the random method. The validity of the solution was checked by comparing the theoretical and random solution. In conclusion, the accuracy of probability results depends largely on control- ling the variables related to them. This accuracy increases with the increase in the number of variables in most cases. In addition, many recommendations were mentioned that can be used in the development of this research to obtain the highest quality of resultsen