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I think we need to ask how villain is close to 200bb if he just sat down. Clearly he must have either taken away a lot in very few hands without showdown or he has shown us at least something that we can use to apply a read here.
Without any sort of read, however, and considering a dead-money c/c his most likely holding for 2p would probably be KT. At these stakes it's quite common for the average unknown to consider even KTo a premium holding. T8, K8 are certainly possible though considerably less likely. His most likely holding for a set is 88, less so TT because you might expect a raise out of it and KK is certainly going to be raising and against it you'd likely be AI PF. If he holds a set he wants this pot over with to avoid being flushed on. If he holds an underpair like QQ or JJ (maybe even 99) he might just think he can take it away from you by repping a set. He may have a OESD or a FD and be looking to get his money in on that or just take it away here. It is also possible that he has TPGK or TPWK (KJ, K9 probably suited) and thinks you're on an underpair like QQ or JJ and just wants to take the pot right now.
As a range I consider anything that could connect to the board or be/become a draw, favoring suited cards to represent that he's less likely to be on a draw at microstakes. My range is more than likely a bit narrow but I can't see even a microdonk making much stranger choices:
Board: Kc Tc 8d
Dead:
equity win tie pots won pots tied
Hand 0: 71.704% 71.52% 00.19% 90624 239.00 { AcAs }
Hand 1: 28.296% 28.11% 00.19% 35618 239.00 { QQ-88, AQs-A8s, K8s+, QJs, Q9s, J9s, T8s, AQo-A8o, K8o+ }
Even without this range I am inclined to just shove over and pay off the odd 2p or set. I'm hurt by a 2p or set holding but I crush the rest of his range and like my chances against a draw. I'm not sure what to vote on though as I think basically everything except the draws are equally likely. I'll just guess TPWK.
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