What is the ratio of value bets to bluffs with this range of bluffs? I can’t do it myself on a poker calculator, because i have a smartphone, not a computer...
In the first example: 88 and 99, we must include Q9s and K9s in our bluff range (from 4-bets). Besides that, if we include 6 AKo combos and 4 AKs combos, we are accumulating 4.07%. AKs come from 2 combos: K9s and 2 combos: A9s. And the AKo come from the off suit combos that we unlock.
In this case, the fold equity range of V is balanced with 4.07%, this being:
88-66, A5s-A2s, 87s, 76s, 65s, 54s, 43s. And the top 3.77% belongs to its continuation range: TT + AQs + AKo.
So, starting from our starting hands: 88 and 99, our full range of bluffs, can be broken down into this structure: AKo, 99-88, AKs, A9s-A8s, K9s, Q9s, 98s, 98th (4.07%)
The fairness of this range, relative to the villain's calling range to our 4-bet, is 30.9%.
For the AJo and ATo bluffs, our values are: 6 combos: AA. And the bluffs could be 3 combos: JJ and 3 combos: QJo (could also be 3KJS or 3KTs), so we could add 4 combos of AKs to break down the range.
At a general level, the hero rank structure would be: QQ-JJ, AKs, KJs-KTs, AJo-ATo, QJo (4.52%)
For which, the villain must have a fold equity range: 99-66, A5s-A2s, 98s, 87s, 76s, 65s, 54s (4.52% belonging to his 3-bet bluff range)
The full range equity of 4-bet bluff vs the equalizing range V with the top 3.77% is: (33.40 / 63.6) negative for hero.
A6s-A9s bluffs can form the following bluff structure for hero:
99-66, AKs, A9s-A6s, K9s, Q9s, 98s (4.22%). Which impacts 4.22% of the villain's FE: 77-44, A5s-A2s, 87s, 76s, 65s, 54s. And the equity of the H range with respect to the upper 3.77% of V: 31.84%
For the K9s bluffs; KTs and KJs. Range H can have this form:
QQ-JJ, 99, AKs, A9s, KJs-K9s, QTs, ATo vs FE balanced with: 77-55, A5s-A2s, 87s, 76s, 65s, 54s, 43s. Hero's equity vs. the top 3.77%: 34.69%
For QTs and Q9s bluffs, the hero rank has the following form: 99-88, A9s-A8s, K9s, QTs-Q9s, 98s, KTo, QTo (4.54%) balanced with villain FE. The equity of rank H relative to the top 3.77%: 28.64%
For QJo the H rank can have a similar structure to this: QQ-JJ, A9s, KJs-KTs, QTs-Q9s, ATo, KJo and equity increases to 32.7% compared to the 3.77% superior of rank V.