From a scientific perspective this is - and please excuse my wording - a more or less useless question. Statistics is a very usefull description of large systems. Even when we assume classical mechanics calculating the precise state of systems like gases with upwards of a million degrees of freedom, is impossible even when - to paraphrase Liffschitz - just considering the global paper supply. Because whe considering large numbers of identical particles the states converge to statistical means.
Now there is the fact that fundamental particles have statistical properties with now underlying structure (as far as we know). There is a case to be made that statistical behaviour is somewhat fundamental to the universe.