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The odds are the same for each one.

The cards have no 'memory' of the hands that have been played before, nor of how many hands have been played.

Each time a hand is dealt, the odds are 1:X that a certain outcome will result

For a Royal Flush they are 1 in 649,740 - which will alter if more cards are drawn.

The odds of drawing to a royal flush are 1:42000.

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