Stud hi - KK in hole vs probable flushdraw

[jester710]

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Why not just make a more profitable play (check) and get the same information?

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Because you get no info on how he plays 7th that way. Is he the type to pay you off with a weaker 2 pair (or even one pair)? Will he checkraise his big hands or bet out with them? Will he c/r bluff here? If these situations keep coming up vs. this villain then knowing how he plays the river is extremely valuable info.