  In this article we take a probabilistic look at H\"older's inequality,
considering the ratio of terms in the classical H\"older inequality for random
vectors in $\mathbb{R}^n$. We prove a central limit theorem for this ratio,
which then allows us to reverse the inequality up to a multiplicative constant
with high probability. The models of randomness include the uniform
distribution on $\ell_p^n$ balls and spheres. We also provide a Berry-Esseen
type result and prove a large and a moderate deviation principle for the
suitably normalized H\"older ratio.
