Poker Stars, $0.10/$0.25 No Limit Hold'em Cash, 6 Players
SB: $53.90 (215.6 bb)
Hero (BB): $25 (100 bb)
UTG: $35.39 (141.6 bb)
MP: $28.52 (114.1 bb)
CO: $71.89 (287.6 bb)
BTN: $45.02 (180.1 bb)
Preflop: Hero is BB with Q♣: Q♥:
3 folds, BTN raises to $0.50, SB folds, Hero raises to $2, BTN calls $1.50
Flop: ($4.10) Q♦: 6♦: 7♦: (2 players)
Hero bets $3, BTN calls $3
Turn: ($10.10) A♣: (2 players)
Hero bets $8, BTN raises to $40.02 and is all-in, Hero calls $12 and is all-in
Villains preflop 3bet calling range: 99-22,AQo-ATo,KQo-KJo,AQs-A2s,KQs-K8s,QJs-Q9s,JTs-J8s,T9s-T8s,98s-97s,87s,76s
OTF: There are multiple chances that Villain would raise some Flushes and sets OTF and some chance that he would slow play. Can’t know for sure, so I’ll explore optimistic and pessimistic range constructions OTT.
OTT: I’m given 24% equity OTT to call for BE result. I’ll assume that I need 30% to make profit. (because of rake)
Hands that I beat: 77, 66, AQs, AQo
Hands that beat me, but I have some equity: Diamond flushes
Hands that completely crush me: 0
OTT raise evaluation: It is likely that Villain might not play AQ this way, so I need to consider weighting it down heavily in pessimistic scenario, but upwards in optimistic scenario. The same with 66 and 77.
Scenario #1: Villain raises all made flushes and sets OTF, but call with AQ, therefore leaving room for AQ only shoves OTT.
Board: Q♦7♦6♦ A♣
Equity Win Tie
MP2 11.36% 11.36% 0.00% { AQs, AQo }
BB 88.64% 88.64% 0.00% { QhQc }
Scenario #2: Villain only raises flushes OTF, but calls AQ and 66, 77.
Board: Q♦7♦6♦ A♣
Equity Win Tie
MP2 5.30% 5.30% 0.00% { 77-66, AQs, AQo }
BB 94.70% 94.70% 0.00% { QhQc }
Scenario #3: Villain raises all value hands OTT: AQ, 77, 66 and flushes
Board: Q♦7♦6♦ A♣
Equity Win Tie
MP2 53.96% 53.96% 0.00% { 77-66, AQs, AdJd, KdJd, AdTd, KdTd, JdTd, Ad9d, Kd9d, Jd9d, Td9d, Ad8d, Kd8d, Jd8d, Td8d, 9d8d, Ad7d, 9d7d, 8d7d, Ad6d, Ad5d, Ad4d, Ad3d, Ad2d, AQo }
BB 46.04% 46.04% 0.00% { QhQc }
I need 30% equity and call is +EV.
Scenario #4: Villain raises all set OTF as protection, but decides to trap with flushes and can’t jam AQ OTT, because wants to keep bluffs (+AK) alive vs Hero
Board: Q♦7♦6♦ A♣
Equity Win Tie
MP2 78.28% 78.28% 0.00% { AdJd, KdJd, AdTd, KdTd, JdTd, Ad9d, Kd9d, Jd9d, Td9d, Ad8d, Kd8d, Jd8d, Td8d, 9d8d, Ad7d, 9d7d, 8d7d, Ad6d, Ad5d, Ad4d, Ad3d, Ad2d }
BB 21.72% 21.72% 0.00% { QhQc }
This scenario gives us around 20% equity to improve with 1 card to come. If we make a mistake calling in this scenario it is not that dramatic. This can be a sweet spot from where I can assume my worst outcome and then add hands into Villain’s range.
Cool scales
Let’s see what happens if I add sets and AQ . By combinatorics we know that we have 6 set combos and 3 AQ combos. So here we have a table of 9 possible outcomes:
Scales are smart:
Conclusion: We need Villain to only have 2 combinations of sets or 2pair, which is quite realistic. There is also a possibility that Villain would fast play non nut flushes (for value + protection reasons vs single AdXx).
Note: Our worst hand in scenario like this should be sets. Next best hand - AQ doesn’t have re-draw opportunities and draw only for 4 outs max.



