A drunkard walks out of a bar at midnight. He is in 3-dimensional space of an infinite size. The probability of his stepping 1 step forward, backward, left, right, up or down is equal. Calculate the probability (to two decimal places) of his (eventually) returning to the bar.
Details and Assumptions:
Assume the bar is a point particle at the origin.
We require the probability that he will, at any point in time, return to the bar.