- #1
russellhq
- 7
- 0
I've been trying to find the solution to the following problem but it's evaded me thus far.
Take the classic one dimension random walk scenario. I start at point 0 and can either step forward +1 step or step backwards -1 step (equal probability). I can countinue like this for N steps.
If I walk N steps, what is the probability that at some point during my walk I will be n steps or more from my starting point (where n<=N)
For example:
I walk 100 steps, what is the probability that at some point during my walk I will be +20 steps or more from my starting point
Take the classic one dimension random walk scenario. I start at point 0 and can either step forward +1 step or step backwards -1 step (equal probability). I can countinue like this for N steps.
If I walk N steps, what is the probability that at some point during my walk I will be n steps or more from my starting point (where n<=N)
For example:
I walk 100 steps, what is the probability that at some point during my walk I will be +20 steps or more from my starting point