You are at the origin (0,0) of an x-y grid. You now randomly select a direction to move one unit, either up, down, left, or right, bringing you to (1,0), (0,1), (-1,0), or (0,-1). Repeat this an infinite number of times; for example, your random path may start (0,-1), (-1,-1), (-2,-1), (-2,0), (-2,1), (-3,1), etc.
Is your infinite path certain to contain the point (1,0)? In other words, are the odds 100% you will hit (1,0) eventually? If not, what are the odds?
2007-05-27
09:19:26
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3 answers
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asked by
Anonymous
in
Mathematics