There are 26 steps in a staircase. You have a 51% chance to step onto the next step, and a 49% chance to step back down to the step prior. Assuming you are already on the first step, how many steps are you most likely to take to before stepping onto the 26th step?
2026-04-13 18:00:34.1776103234
How many steps would it take to get to the top of this staircase?
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A similar version of this question is already answered at Expected number of steps in a random walk with a boundary. I understand that here the "coin" is biased but the underlying theory is the same.