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I was going to suggest barrelling on XaXbYaZc and maybe XaXbYaZb boards can be profitable. After filtering my (small) database I can see that my opponents are always calling the flop and giving up a lot on the turn.
Unfortunately i've usually had a hand in these spots so we might need some clarification here...
It seems more true if X = A,K,Q and Y isn't a low card.
Boards like 9 9 5 are going to fare far worse since lots of pocket pairs aren't folding, whereas a board like K K 9 looks a lot less favourable to 88-22. If a 2 rolls off then of course the 77 that peeled the flop shouldn't be scared, but at the same time, the 2 doesn't help you either so it's like: "why's he betting again"? I suppose also, a lot of your range is going to connect more with high card paired boards so there's less air he can put you on.
Thoughts?
EDIT: I weren't sure if the original post was meant to be instructive or not? Either way I thought maybe ppl can talk about other times when to 2 barrel.
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