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"i think what this thread needs is some math to make us all feel good about our instinct that this is very close."

let me repeat what i said: he's not behind to many hands here. he's not behind to many hands that would play the flop that way. it's not very close at all.

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To me this hand is more about logic than math. When a decent player to a expert caps a A97r flop out of position, his minimum here IMO is AK, and most of the time he will have one pair beat. If the villain is aware of this, he will not be raising this turn with a hand like AK. So On the flop BK has basically flipped his cards face up and told this guy he can beat one pair, if the villain is decent enough to understand this message, then BK should not 3 bet the turn IMO.