  This paper studies majorization of high tensor powers of finitely supported
probability distributions. Viewing probability distributions as a resource with
majorization as a means of transformation corresponds to the resource theory of
pure bipartite quantum states under LOCC transformations vis-\`a-vis Nielsen's
Theorem. In [T. Fritz (2017)] a formula for the asymptotic exchange rate
between any two finitely supported probability distributions was conjectured.
The main result of the present paper is Theorem 3.11, which resolves this
conjecture.
