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Originally Posted by tabueno
is it possible to beat higher stakes over a decent sample, and to not beat lower stakes for over 200k hands?
Yes. You can calculate the chance of it, given some sample parameters, although there will always be some guessing involved.
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If it's possible, can we conclude that 5/10 is harder than 10/20 and 25/50 at least for X?
Not based on this evidence alone, no. Basically for any period of hands, no matter how long, you can estimate how likely particular outcomes are. If you want to imagine having a "true" win rate at each stake, there is a probability that you will run above your true win rate at the lower stake, and below your true win rate at the higher stake, and thus make more at the lower stake in bb/100, even though your true win rate at the higher stake is lower.
There might also be logical reasons you make more at a higher stake, depending on what the stakes are and how far apart they are. You might simply focus more on a higher stake game because the money matters more. Or you might only play the higher of your stake levels when the games are good, and grind the lower stakes games the rest of the time.