Re: A weird odds situation - a case for drawing to big overcards
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Also, it's not that we know AA/KK/AK don't exist, it's that we know for sure that exactly 1 card in each folded hand was not an ace or a king. We don't need to spend any time speculating what the other card was as it is a true "unknown."
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The error in your logic is that by saying that at least one of the cards is not an ace or king, the other card is no longer an unknown. It is in fact now more likely that the other card is an ace or king. I did some quick calculations that aren't complete but are probably close enough, and we can probably discount about one card from our unknowns when we have seven people that folded. That's just for the assumption that they don't fold AA KK and AK. Add in other hands such as AJ AQ and KQ, you can discount slightly more.
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