Final answer:
The Hellenistic philosophy that suggests the universe was created by random combinations of atoms and that the gods do not interfere with human affairs is Epicureanism.
Step-by-step explanation:
The ideas that the universe was created by random combinations of atoms, and would perish the same way, and that the gods play no active role in human affairs, are hallmarks of the Hellenistic philosophy known as Epicureanism. Founded by Epicurus in the 4th century BCE, Epicureanism teaches that pleasure, particularly mental pleasure derived from a simple life, knowledge, and the absence of pain, is the greatest good. However, these teachings also include deeper materialist beliefs, asserting that everything in the universe is composed of atoms moving in the void, and that the gods, if they exist, are unconcerned with humans, thus humans should rely on their senses and reason to navigate the world.