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1. Grundlagen: Symmetrie und Zufall in Zufallsverteilungen In Computerspielen prägen mathematische Strukturen das Erlebnis – besonders wenn Zufall und System zusammenwirken. Die geometrische Verteilung modelliert Wartezeiten bis zum ersten Erfolg: Mit Parameter p ergibt sich der Erwartungswert E(X) = 1/p und die Varianz Var(X) = (1−p)/p². Dieses strukturierte Zufallsschema zeigt, dass sogar scheinbar unvorhersehbare Ereignisse […]