It's like any other game of independent trials. Over time, the odds play out exactly as probability would have them.
The problem is this: a single player cannot, in most cases, experience enough hands to approach a statistically relevant set of trials. This old man has seen a disproportionate amount of high hands given the amount of trials he's likely to have witnessed.
If you were to look across every poker hand being played across all time you'd see the same "luck" (i.e. frequency of hands per hands played) applied uniformly across those trials. Our limited perspective gives us the concept of our own personal sense of luck (THAT guy got 4 royals in 2 years - I can't even catch a low straight flush!). The odds are eternal.
So, in that case, if there is a being that is omniscient and cognizant about every poker hand - that's the poker god.
And and it definitely doesn't care about your pocket 9s
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