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> If you use MAB, then you dont know if the winner is really better or the result of random variation.

No, you know the outcome of MAB is the best.

If it's clearly the best, it converges quickly. If it's less clearly the best, it converges slowly. Either way though, you haven't lost any more conversions that necessary to find that out, or needed to put in non-mathematically fail safes.



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