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If you look for a pattern every time there's a gap in the patterns you already see, then you'll soon see patterns everywhere.
There are only 22,100 ways to take 3 cards out of a deck of 52. (There's only 19,600 once you account for your specific cards in any given hand.)
That's ultimately a tiny number compared to how many hands you play a day/week/etc.
Understand that if there was not these runs of "improbable" things happening, then that would be a sign that it's not random. Randomness means that the good and the bad clump and blend in all ways.
I mean... after a certain number of hands, you expect to see a royal... the lack of a royal becomes conspicuous after a while... after many more hands, you'd expect to see 2 royals in back to back hands. Which is highly improbable up to a point, then becomes highly probable.
So you see... you and I might not experience that many hands in many lifetimes, but a huge online poker site does.
All of this is to say: Randomness means that anything with a non-zero chance of happening... happens sometimes.
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