If you have a thousand decks of cards all mixed together, how many different ways can you form a royal straight flush in spades? A billion decks? Would you agree that these would be a much larger number of possible ways than could occur from a single deck?
Just like to point out that with a thousand decks of cards you've got a much larger "sequence space" from which only a fraction will yield a useful combination of cards (in the context of a poker game). In other words, increasing the number of decks doesn't make it any more probable that you'll get a royal flush.
Edited by Genomicus, : No reason given.
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