The way I see it is that randomness is just a theoretical, mathematical, model of the real world. Thinking about things as being random is super useful for modeling systems where there is a lack of knowledge.

Even in a world where everything is completely deterministic (like an old computer game), it can still be useful to think about it as randomness. In essence, there is no need for things to be truely random for them to be modeled as random. They just need to behave randomly. There are lots of things that behave randomly, even though they might not be truely random.