Ah,Ts,5d postflop strategy (A高面(3bet底池), 3-bet pot)
On Ah,Ts,5d (A高面(3bet底池)), Cutoff (in position) c-bets 15.5% of the time when Big Blind (out of position) checks, while Big Blind checks 0.0%. Flop range equity: Big Blind 74.9% vs Cutoff 25.1% (our deterministic seeded Monte Carlo, 180,599 samples, 95% CI ±0.20pp). All frequencies below are TexasSolver offline outputs; exploitability 0.173%.
Range-level action frequencies
| Range / action | Check | Bet 74 (~33% pot) | Bet 169 (~75% pot) | Bet 890 (~396% pot) |
|---|---|---|---|---|
| Big Blind · OOP | 0.0% | 42.1% | 57.9% | 0.0% |
| Cutoff · IP (vs check) | 84.5% | 11.6% | 3.3% | 0.6% |
Board reading
A-T-5 in a 3-bet pot: BB's AK/AQ make top pair top kicker, but CO's calling range keeps ATs/AQs too. With SPR far below single-raised pots, top-pair hands play near-committed — note where the all-in lines appear.
Cross-check from our own engine
| Range | Flop range equity | Theoretical combos | On-board combos | Board-blocker loss |
|---|---|---|---|---|
| Big Blind · OOP | 74.9% ±0.20pp | 82 | 63 | 19（23.2%） |
| Cutoff · IP | 25.1% ±0.20pp | 74 | 64 | 10（13.5%） |
Method: seeded Monte Carlo (180,599 samples, 95% CI ±0.20pp); combo counts are live holdings after removing board blockers.
Solver frequency by hand class
Big Blind (OOP) frequency by class
| Hand class | Combos | Check | Bet 74 (~33% pot) | Bet 169 (~75% pot) | Bet 890 (~396% pot) |
|---|---|---|---|---|---|
| A2s | 3 | 0.0% | 52.4% | 47.6% | 0.0% |
| A3s | 3 | 0.0% | 52.4% | 47.5% | 0.0% |
| A4s | 3 | 0.0% | 52.8% | 47.2% | 0.0% |
| A5s | 2 | 0.0% | 48.6% | 51.4% | 0.0% |
| AA | 3 | 0.0% | 56.7% | 43.3% | 0.0% |
| AKo | 9 | 0.0% | 26.6% | 73.4% | 0.0% |
| AKs | 3 | 0.0% | 21.5% | 78.5% | 0.0% |
| AQo | 9 | 0.0% | 20.3% | 79.7% | 0.0% |
| AQs | 3 | 0.0% | 39.3% | 60.8% | 0.0% |
| JJ | 6 | 0.0% | 44.0% | 56.0% | 0.0% |
| KK | 6 | 0.0% | 59.7% | 40.3% | 0.0% |
| KQs | 4 | 0.0% | 56.6% | 43.4% | 0.0% |
| 6 | 0.0% | 46.1% | 53.9% | 0.0% | |
| TT | 3 | 0.0% | 60.9% | 39.1% | 0.0% |
Cutoff (IP, vs check) frequency by class
| Hand class | Combos | Check | Bet 74 (~33% pot) | Bet 169 (~75% pot) | Bet 890 (~396% pot) |
|---|---|---|---|---|---|
| 77 | 6 | 96.4% | 2.7% | 0.8% | 0.1% |
| 88 | 6 | 96.2% | 2.9% | 0.9% | 0.1% |
| 99 | 6 | 95.6% | 3.9% | 0.4% | 0.1% |
| 87s | 4 | 80.9% | 16.9% | 1.7% | 0.4% |
| 98s | 4 | 80.3% | 17.6% | 1.6% | 0.5% |
| AJs | 3 | 66.7% | 23.8% | 9.6% | 0.0% |
| AKs | 3 | 56.5% | 35.8% | 6.0% | 1.7% |
| AQs | 3 | 72.4% | 20.5% | 7.1% | 0.0% |
| ATs | 2 | 44.4% | 42.6% | 12.9% | 0.0% |
| JJ | 6 | 98.2% | 1.4% | 0.4% | 0.1% |
| JTs | 3 | 86.9% | 7.0% | 4.8% | 1.3% |
| KJs | 4 | 93.3% | 3.8% | 2.9% | 0.1% |
| KQs | 4 | 89.2% | 7.6% | 3.2% | 0.0% |
| QJs | 4 | 97.6% | 1.4% | 0.9% | 0.1% |
| T9s | 3 | 83.7% | 9.0% | 5.8% | 1.5% |
| TT | 3 | 45.7% | 38.4% | 9.0% | 6.9% |
Methodology
Solver: TexasSolver (console); 400 iterations, accuracy target 0.2, exploitability 0.173% (closer to 0 is closer to Nash equilibrium). Solving is done locally and offline — only data outputs ship, and the AGPL component is isolated from production code (not linked, no binary distribution). Range equity is computed independently by our own deterministic engine as a cross-check.
FAQ
What is Cutoff's c-bet frequency on Ah,Ts,5d?
15.5% (TexasSolver output at the node where Big Blind checks); correspondingly Big Blind checks 0.0% there.
How are these numbers computed? Are they GTO?
Action frequencies come from a local offline TexasSolver run (400 iterations, exploitability 0.173% — closer to 0 is closer to equilibrium); the range equities 74.9%/25.1% are independently cross-checked by our own deterministic engine. A solve is an approximate equilibrium, not a unique answer.
Related
Educational use; not betting advice.
Cite this page: Pailiku, “Ah,Ts,5d postflop strategy (A高面(3bet底池), 3-bet pot)”, pailiku.com/strategy/postflop/bb3bet-vs-co-ahts5d (2026).