[Ringmaster]

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Note that we don't want to find a range of hands that have this equity on average, we want a list of hands that each have at least this minimum equity.

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ringmaster, can you explain this point some more please?

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The point is we know our hand before we have to decide whether to shove or not, and we only want to shove the times when it's +EV to do so. We don't need to put ourselves on a range before we move in. We shouldn't be shoving any hand which is -EV to shove in isolation (metagame reasons aside).

We could include 32o in Hero's range and still the range as a whole would be profitable to shove. But why would we want to? Shoving 32o is a -EV play by itself, so we're needlessly costing ourselves money by shoving with it. Since we'll know the times we hold 32o, we can avoid making a -EV play by folding it instead.

We simply want a list of all hands which are +EV to move in with given the situation.