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ok, i see. so we're doing this with the expectation that Qx (in this thread's hand) or 99 overpair (in the spade draw hand) will often call our PSB OTF. seems reasonable for 99 there, not so much a weak Qx in the OP's hand, unless it contains some decent diamond.
but then we don't mind a fold OTF from Qx, cuz we're pushing such a marginal edge to begin with, we can scoop it right there without incurring much of a loss in the long run if Qx sometimes calls and then folds to our turn shove. is that the right analysis?
Its just a normal semi bluff, we don't have a made hand yet and are rarely getting paid if we make one. We are never getting paid if we hit a diamond and we can make a weak Qx fold pretty easily. It's like betting/raising the ace of a monotone flop on the flop because calling kills our implieds when we hit and gives us zero FE when we miss.
We're slightly ahead but if we play this hand weakly we probably fold on the turn when we miss and win nada when we hit.
Not bothering to think too deep on this but in my head I see it like; Say we're 60% otf,
30% of the time we make our hand OTT and average win an additional 20% of pot
30% of the time we miss and fold since its not that likely we get odds to draw vs a turn bet and again we have no implieds to make up for it
So because of this the other alternative of playing our hand fast is a lot more preferable. We're slightly ahead but if we scoop the money dead in the pot we've already made about the same amount as if we got it in in the long run and on top of that we often bluff the hand ott and even if we do get put in its not the end of the world.
Moreover we would play our made hands like this and this spot is common enough that even at 1/2 we need to be pretty balanced i think.