Basically it says that for this binomial probability for the simple random walk, that the number of steps made in the upward direction, i.e. by $+1$ is $u = 0.5(n+j-i)$ why is that this value is always a non-negative even number?
2026-03-28 13:27:22.1774704442
Why is $n+j-i$ a even number?
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