The Monte Carlo method, used to investigate a wide variety of problems, is a stochastic technique based on the statistics of random events applied to large numbers. Monte Carlo methods use random numbers and probability statistics to explain a variety of phenomena. Although there are several types of Monte Carlo methods the simplest is the hit-and-miss integration method and is the one most often employed. Monte Carlo methods require only experience and this differentiates it from other stochastic methods because it requires no prior knowledge of the environment's dynamics, yet can still attain optimal behavior. This method is useful for obtaining solutions to problems that are too complicated to solve analytically. There are two types of Monte Carlo methods: the simple Monte Carlo method and the sophisticated Monte Carlo method. The first, simple Monte Carlo method, is a direct modeling of a random process...