Quote:
Originally Posted by Renton555
Any hand that beats AK/AA equals [K9s, 99, 66, 87s, QJs, possibly QJo] equals quite nutted, 14 to 26 combos, the majority of which are straights.
He can defend only the straights and he's already defending anywhere from the majority to the vast majority of his legit range vs a raise..
I agree with the previous poster that you are making too many assumptions about villains's play, but ultimately it may be a pointless debate as it does depend so much on what is assumed about villain.
However, just for the same of throwing some numbers out there, I get the following. This has been done quickly and it may be incorrect, but I get that:
We can give villain a value range of sets, 2 pair hands, 1 pair hands, straights that beat us and straights that split. Say that these are {66,99,tt}, {K9,KT,T9}, {AK,KQ}, {QJ},{78}. Obviously he will have a wider range, if we want to consider hands we have to scale back a tonne (KK,T6s,44), but for the sake of simple calcs those buckets can represent villain's range.
If we set the relative PF weighting by considering that all those hands get scaled back by 50% relative to the sets (as most people are more likely to call OOP with pairs than we these hands), but reducing {78} slightly more as he may not open with those unless they are suited in the first place, and say that the relative post flop scaling is the same for all except that {AK,KQ} gets scaled back by 60%, then I get a relative combo number as 41. Of that, 20% is {QJ} and 8% is {78}.
On the river, if we bluff then we risk 802 to win 820, so if villain thinks he's bluff catching then he needs to call about 51% of his bluff catching range. {QJ} gives him 20% and {78} gives 8%, so that leaves 23% of other hands, meaning that we win more than enough when he calls. And this is considering that villain thinks he is bluff catching, and with some of those hands he won't so will call more often. Add in the crazy Russian factor and it's a more clear shove imo.