I think is possible for all possible combinations of a 52-card deck to occur during a game of Texas Hold'em, then the answer is no. The number of possible combinations of a 52-card deck is astronomically large, estimated to be around 2.6 x 10^64, which is many orders of magnitude larger than the number of atoms in the observable universe. It is therefore highly unlikely for all possible combinations to occur during any practical, finite number of games.
Is it possible for a standard deck decisions to occur?
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You are absolutely correct. The number of possible combinations of a 52-card deck is enormous, as you mentioned, estimated to be around 2.6 x 10^64. This number is so vast that it is practically impossible to see all possible combinations occur in a real-world scenario like a game of Texas Hold'em.
To put it into perspective, if you were to shuffle a deck of cards every second since the beginning of the universe (approximately 13.8 billion years ago), you would still not come close to going through all the possible combinations.
So, while it is theoretically possible to see all combinations in a hypothetical scenario with an infinite number of games, in practice, it is highly improbable to witness all possible combinations occur in the course of any realistic or finite number of games.
To put it into perspective, if you were to shuffle a deck of cards every second since the beginning of the universe (approximately 13.8 billion years ago), you would still not come close to going through all the possible combinations.
So, while it is theoretically possible to see all combinations in a hypothetical scenario with an infinite number of games, in practice, it is highly improbable to witness all possible combinations occur in the course of any realistic or finite number of games.
