This document outlines evaluation criteria for deterministic and true random number generators and is an update to the mathematical-technical reference of both the AIS 20 (Funktionalitätsklassen und Evaluationsmethodologie für deterministische Zufallszahlengeneratoren) and the AIS 31 (Funktionalitätsklassen und Evaluationsmethodologie für physikalische Zufallszahlengeneratoren) which define the evaluation methodology for deterministic and true random number generators in the German Common Criteria certification scheme, respectively. The mathematical background is explained and the concepts are illustrated by numerous examples.