  We study the link between Phelps-Aigner-Cain-type statistical discrimination
and familiar notions of statistical informativeness. Our central insight is
that Blackwell's Theorem, suitably relabeled, characterizes statistical
discrimination in terms of statistical informativeness. This delivers one-half
of Chambers and Echenique's (2021) characterization of statistical
discrimination as a corollary, and suggests a different interpretation of it:
that discrimination is inevitable. In addition, Blackwell's Theorem delivers a
number of finer-grained insights into the nature of statistical discrimination.
We argue that the discrimination-informativeness link is quite general,
illustrating with an informativeness characterization of a different type of
discrimination.
