In 1881 the US playing card company manufactured 1,600 packs of cards per day. If I selected 500 cards from those decks at random, the result would be 1 in 2.1 x 10^1,325.
In other words, using your logic, it would be far more impossible for me to pick 500 cards at random than anything you have shown.
How can that be? Because you don't understand statistics - you are abusing the math.
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