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Jack comments on Drawing Two Aces - Less Wrong
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Follow-up puzzle: what if the second question would, instead of asking to pick an ace at random, have asked "is at least one of the cards you're holding the Ace of Spades?" After establishing that you have at least one ace, that is. One could make the same two arguments as for the original question.
Maybe I misread but this looks just like scenario 1 to me.