For a simple one dimensional unbiased random walk, how does the probability depend on the number of turning points? For instance, if you have a drunk and an infinite line of lampposts and you are given that the total number of steps is $N = 100$ and the number of turning points is $T = 5$ (points where the drunk changes direction), how will this modify the simple binomial distribution?
2026-04-01 22:20:46.1775082046
How does the probability depend on the number of turning points?
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