Random walk

[kpdecosta]

A drunk comes out of a saloon. At each second, he moves a step towards his right side with probability p or towards his left side with probability q. Give the probability distribution of his positions after a minute and after 75 seconds.

How to solve this problem after one minute what will be his position and after 75 seconds

 

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[blamocur]

At each second, he moves a step towards his right side with probability p or towards his left side with probability q.

Is [imath]p+q = 1[/imath] ?

 

[Steven G]

This random walk would be a sequence of p's and q's.
Let's suppose we want to know the distribution after 3 seconds.
The only possibilities are ppp, qpp, pqp, ppq, pqq, qpq, qqp or qqq. What values can the random variable X take on?
Does this help?