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Random walk has been widely used in many areas of physics, chemistry, biology , economics , and plays an important role . There are a lot of random walk model , such as a simple random walk , symmetric random walk , random walk with absorption wall , random walk on the grid points . However, the existing models are mostly infinite step , but does not consider the limit behavior . Based on a gambling game , build a plane with a finite number of steps the random walk model of bilateral absorption wall , through the use of generating functions and recurrence relations , from the particular to the general is given and proved that the departure of the particle from the starting point reach bilateral absorption wall and the finish line of a series of probability calculation formula .
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