Question: (A random walk) on a windy night, a drunkard begins walking at the origin of a two-dimensional coordinate system. His steps are 1 unit in

(A random walk) on a windy night, a drunkard begins walking at the origin of a two-dimensional coordinate system. His steps are 1 unit in length and are are random in the following way: With probabilty 1/6 , he takes a step east; with probability 1/4, he takes a step north; with probability 1/4 he takes a step south; and with probabilty 1/3 he takes a step west. What is the probability that after 50 steps, he will be more than 20 units distant from the origin? Write a program to simulate this problem. (Preferrably JAVA).

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