the old improbable probability problem

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Correction: "Once anyone has won the lottery the probability question is answered."
[/quibble]

I think you two might be talking past each other.I think that Genomicus thinks that we're talking about the probability of combining a billion decks of cards and still dealing only one single hand that is a royal flush.I think that we're talking about using each of those billion decks of cards to deal a billion hands and the probability that at least one of those billion hands being a royal flush.