But if you define random to mean something like "caused by unexplained or mysterious forces" or "non-deterministic", then how can anything in the universe be truly random? Even atmospheric noise is created by a sequence of deterministic events, right?
A dice roll is too (brain fires synapse, I move my hand forward and release the dice, dice interact with air in certain way, dice hit table and F=ma predicts their movements, etc...). Maybe since we don't have the facilities yet to watch a person throw some dice and predict what the outcome will be, this process is non-deterministic simply because we lack the technology to sketch it out. But with sufficient technology to scan the situation and chart the end result of the dice roll based on the initial conditions, doesn't the process become completely deterministic, and not random?
But maybe I'm just stretching the definition of random to mean something that it was never meant to mean.