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That's all very well
I'm sure your formulas are correct but is this really what we want to know: the probability of two Blackjacks ocurring simultaneously? I think we want to know the probability of a Dealer's Blackjack IN CASE we already have one. The difference between single deck and 8 decks will then appear to be much more significant.
In single deck, on 1000 Blackjacks about 37 will be pushed whereas with 8 decks, it would be 46.
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