Hey Ramble!
I like these "puzzles" you posted, let's see the last one.
1,
The range you constructed for preflop call is 176 combos. You were right, you need to protect 75% of your range against 1/3 cbet. You put 46 combos (44-22, A4s-A2s, T9s, 98s, 87s, 54s) into your fold vs cbet range, which is 26,14% of our range. We slightly overfolding, but all in all you did a good job. However you forgot one important thing, which is card removal! If you put this flopinto Equilab and tick card removal option (there must be an option for this in other softwares), than you will see that we left with 149 combos in our preflop call range and 42 combos in our fold vs cbet range. This means that we only protect 107 combos, which is only 71,81% of our range!
2,
I constructed an average EP RFI range to make our life easier: 55+, A2s+, KJs+, QJs, JTs, T9s, 98s, ATo+, KQo. You were right, this flop hit UTG range well, so he can cbet with his entire range OTF.
You put A♦:T♦: , A♦:9♦: , A♦:8♦: and the same 3 combos from
to your bluff raise range, so let's see how they do against out opponent's flop cbet (in this case same as EP RFI) range!
We have the worst EV with A♥:8♥: :
Board: J♦5♥A♣
Equity Win Tie
SB 61.97% 58.83% 3.13% { Ah8h }
BB 38.03% 34.90% 3.13% { 55+, A2s+, KJs+, QJs, JTs, T9s, 98s, ATo+, KQo }
And the best with A♦:T♦: :
Board: J♦5♥A♣
Equity Win Tie
SB 67.24% 63.49% 3.75% { AdTd }
BB 32.76% 29.01% 3.75% { 55+, A2s+, KJs+, QJs, JTs, T9s, 98s, ATo+, KQo }
Do we really want to bluff raise with 62-68% equity?
3,
For me it is also interesting that you call with all of your 3rd pairs (TT-66), but you fold from your top pairs. (A4s-A2s). Against the EP range above A2s combos have 60% equity, but your best 3rd pair TT has only 34%. Seeing point 1, and 2, I would call with all my top pairs.
4,
Why you want to raise the same ammount of combos for value and for bluff? If we are playing against an average micro regular (against a fish's flop cbet I don't really want to bluff raise) IMO he will fold a lot for raises, even when flop hit a good chunk of his range like in this example. When he will fold a lot, you want to exploit him with increasing your bluff raise combos. To discuss this more, let me give you a "puzzle".
Hero (BTN): $12.71 (127.1 bb)
SB: $12.62 (126.2 bb)
BB: $11.91 (119.1 bb)
UTG: $10.59 (105.9 bb)
MP: $12.27 (122.7 bb)
CO: $10.17 (101.7 bb)
SB posts $0.05, BB posts $0.10
Pre Flop: (pot: $0.15) Hero has <<Range in Spoiler>>
UTG raises to $0.20, 2 folds, Hero calls $0.20, 2 folds
Flop: ($0.65, 3 players) A♣: J♦: 5♥:
UTG bets $0.22, Hero raises to $0.75
If EP cbets his entire range (let's say the range I gave above), what do you think, what will he fold and what will he continue with? (doesn't matter he continues with 3bet or just with call. Please split his range into 2 parts: fold and continue).
5,
At last, here's how I would construct my ranges in the situation you gave.
Flop: A♣:J♦:5♥:
Preflop call range (exact same you gave): JJ-22,AQs-A2s,KTs+,QTs+,JTs,T9s,98s,87s,76s,65s,54s,AQo,KQo 149 combos
We want to protect 149*0,75=112 combos
Value raise range (still the same): JhJs, JhJc, JsJc, 5d5s, 5d5c, 5s5c, AhJh, AsJs, Ad5d, As5s 10 combos
Bluff raise range: KdQd, KhQh, KcQc, KdTd, KhTh, KcTc, QdTd, QhTh, QcTc, Td9d, Th9h, Tc9c, 9d8d, 9h8h, 9c8c, 8d7d, 8h7h, 8c7c, 7d6d, 7h6h, 7c6c 21 combos
If we raise 31 combos, we left with 118, but we need only 81 to our calling range. (here is the 118 combo we have to choose from: TT-66, 44-22, AdQd, AhQh, AsQs, KsQs, KhJh, KsJs, KcJc, QhJh, QsJs, QcJc, AdTd, AhTh, AsTs, KsTs, QsTs, JhTh, JsTs, JcTc, Ad9d, Ah9h, As9s, Ts9s, Ad8d, Ah8h, As8s, 9s8s, Ad7d, Ah7h, As7s, 8s7s, Ad6d, Ah6h, As6s, 7s6s, 6d5d, 6s5s, 6c5c, Ad4d, Ah4h, As4s, 5d4d, 5s4s, 5c4c, Ad3d, Ah3h, As3s, Ad2d, Ah2h, As2s, KQo, AdQh, AdQs, AdQc, AhQd, AhQs, AhQc, AsQd, AsQh, AsQc)
Call range: 88,54s,AdQd,AhQh,AsQs,KsQs,KhJh,KsJs,KcJc,QhJh,QsJs,QcJc,AdTd,AhTh,AsTs,KsTs,QsTs,JhTh,JsTs,JcTc,Ad9d,Ah9h,As9s,Ad8d,Ah8h,As8s,Ad7d,Ah7h,As7s,Ad6d,Ah6h,As6s,Ad4d,Ah4h,As4s,Ad3d,Ah3h,As3s,Ad2d,Ah2h,As2s,KQo,AdQh,AdQs,AdQc,AhQd,AhQs,AhQc,AsQd,AsQh,AsQc 81 combos
54 and 65 of
has more equity than 77-88, but they are more vulnerable. It is your choice which you will choose to call range. I put from both into my call range.
You can ask, why I want to raise with GS+BDFD combos (Q♥: T♥: for example), when they have enough equity to call. Let's talk about tat after you did "the puzzle" from point 4, but you can guess. I hope you will find this useful