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## Summary:

- There is a random variable (X) with a determined outcome (i.e., X = x0), p(x0) = 1. Consider x0 to have a “discrete uniform distribution” over the integer interval [1, s], where the sample space (s) = 1, such that p(x0) = 1. This is the initial state. What is the probability of x0 and the associated information entropy (H), as s increases exponentially?

I'd be grateful for any formulation that describes this statistical process