BvB Single Raised Pot Deep Dive: 9♥ 5♦ 3♣ Rainbow at 100bb Cash
A complete solver-backed breakdown of BvB single raised pots on one of the most common low-board textures. Learn why SB checks 73% on 9-5-3 rainbow, when to probe as BB, and how SPR 16.17 changes every decision compared to 3-bet pots.
1 Introduction & Preflop Ranges
Blind-vs-blind single raised pots are the widest, most complex spots in cash poker. SB opens to 3bb with a near-universal range, BB flats everything that isn't a 3-bet, and both players arrive at the flop with 800+ combo ranges. Understanding how the solver navigates 9♥ 5♦ 3♣ rainbow in this dynamic is essential for any serious cash game player.
This is the companion piece to our BvB 3-Bet Pot Deep Dive on the same board. Where the 3BP version featured SPR 4.71 and committed ranges, the SRP creates SPR 16.17 — a completely different strategic landscape where pot control dominates and no hand is ever committed on the flop.
Every solver frequency in this analysis comes directly from Solver+ GTO solutions. To drill these spots against a GTO opponent, use Postflop+. For the preflop ranges that lead to this dynamic, study them in GTO Ranges+.
The Scenario
SB opens to 3bb (300 chips). BB calls. The pot is 6bb with 97bb remaining behind — SPR 16.17. SB's opening range from the small blind is the widest preflop range in cash poker: nearly every hand with any playability. BB's calling range removes the 3-bet portion (premiums and select bluffs) but retains a massive number of low/mid suited and offsuit hands that connect extremely well with low boards.
Preflop Range Grids
Below are the solver's exact preflop ranges side by side. Suited hands are above the diagonal, offsuit hands below. Numbers represent weights (100 = full frequency, 75 = three-quarter mix, 50 = half, etc.). A dash means the hand is not in range.
SB (OOP) — Opening Range
~800+ combos. Nearly everything opened.
BB (IP) — Flatting Range
~700+ combos. Capped below JJ (most 3-bet).
Range Comparison — Entering Flop
SB limp/complete vs BB check. Opacity reflects solver weight.
OOP Unique (SB excess)
Common (overlap)
IP Unique (BB excess)
544.5 combos
128.8 unique
415.7 combos
shared
544.5 combos
128.8 unique
Range Asymmetry Summary
| Dimension | SB (OOP Raiser) | BB (IP Caller) |
|---|---|---|
| Strongest hands | AA, KK, QQ, JJ, TT | 99 (0.75), 88 (0.5), 77 (0.5) |
| Range shape | Linear — all hand strengths | Wide but capped — no premiums |
| Board connection to 953 | All sets, all top pairs, all straights | Even more low suited hands, two-pair combos |
| Nut advantage | Overpairs TT+ that BB lacks | More two-pair combos (95s, 53s, 93s) |
| Range width | ~800+ combos | ~700+ combos |
Key Difference from the 3BP Version
Both ranges are massively wider than in a 3-bet pot. BB retains two-pair combos (95s, 53s, 93s at full weight) that were 3-bet bluffs in the 3BP spot. SB has overpairs but also enormous amounts of air. This width is why the flop strategy looks completely different — SB cannot range-bet because both players have genuine board connection.
2 Board Analysis: 9♥ 5♦ 3♣
Type B — "Small or Check". This is a low disconnected rainbow board with no two-card straight possible, only gutshot draws (42, 64, 76). The board does not support polarized big bets from SB because:
- SB's range has too much air relative to value (the widest opening range in poker)
- BB's range has many strong two-pair/set hands that punish big bets
- Equity denial is the primary motivation, not nut advantage exploitation
SB's equity advantage is moderate but not dominant. SB has overpairs (AA-TT) that BB mostly lacks, giving SB a nut advantage at the top. But BB's range connects better with the board's low cards — BB has more two-pair combos (95s, 53s, 93s at full weight) and similar set frequencies. Neither player dominates. This is why SB c-bets at only 27% — far below the 60-70% on high boards like AKx or KQx.
Turn overcards frequently change the dynamic. Any card J or higher shifts the board character significantly, often unlocking aggression for the player who checked the flop.
3 Pot Geometry & Multi-Street Planning
First-Principles Calculation
| Step | Calculation | Result |
|---|---|---|
| SB opens | 3bb (300 chips) | |
| BB calls | 3bb (300 chips) | |
| Pot at flop | 300 + 300 | 600 chips (6bb) |
| Remaining stacks | 10,000 - 300 | 9,700 chips (97bb) |
| SPR | 9,700 / 600 | 16.17 |
What SPR 16.17 Means
This is a deep SPR — more than 3x deeper than the 3BP spot (SPR 4.71). The strategic implications are profound:
| Hand Strength | Commitment at SPR 16 | Contrast with SPR 4.7 (3BP) |
|---|---|---|
| Sets (99, 55, 33) | Not committed on the flop. Can fold to enough aggression over 3 streets. Should slow-play frequently. | Committed — get it in over 2 streets |
| Top pair (A9s, K9s) | Pot-control hand. Never wants to play for stacks on the flop. | Thick value — can play for stacks |
| Overpairs (AA-TT) | NOT committed. AA checks 77% on the flop! 2-3 streets of value max. | Fully committed — bet/raise/stack |
| Two pair (95s, 53s) | Strong value but still not committed over 3 big streets. | Near-nut hand — stack immediately |
| Middle pairs (88-66) | Showdown value only. Check-call one street, fold to second barrel. | Marginal — fold to significant action |
| Draws (76s, 87s) | Excellent multi-street bluff candidates. 3 streets to complete + fold equity. | Limited streets — need immediate equity |
| Air (AKo, AQo) | Give up quickly. No equity, no fold equity at deep SPR. | Can still bluff 1-2 streets |
The Deep SPR Principle
At SPR 16, no hand is auto-committed. Even sets should consider game tree position before playing for stacks. The solver's 73% checking frequency reflects this — at shallow SPR (3BP), the raiser bets 60%+ because hands are committed. At deep SPR, pot control dominates.
Solver Bet Nodes
| Node | Chips | % of 600 Pot | Sizing |
|---|---|---|---|
| b540 | 540 | 90% | SB large c-bet |
| b210 | 210 | 35% | SB small c-bet |
| b480 | 480 | 80% | BB large probe |
| b150 | 150 | 25% | BB small probe |
Pot Progression by Path
Five dominant flop paths create five distinct turn dynamics. Each path leads to a fundamentally different SPR and strategic landscape on later streets.
| Path | Flop Action | Turn Pot | Turn SPR |
|---|---|---|---|
| A | SB bets 90% (540), BB calls | ~16.80bb | ~5.45 |
| B | SB bets 35% (210), BB calls | ~10.20bb | ~9.30 |
| C | SB checks, BB checks | 6.00bb | 16.17 |
| D | SB checks, BB probes 80% (480), SB calls | ~15.60bb | ~5.91 |
| E | SB checks, BB probes 25% (150), SB calls | ~9.00bb | ~10.61 |
4 SB's Flop Strategy (OOP Raiser)
SB c-bets only 26.8% total on 9♥5♦3♣ — one of the lowest c-bet frequencies of any SRP board. This is dramatically different from BTN vs BB SRP where the in-position player c-bets 60-70%. The deep SPR and BB's strong board connection force SB into a checking-heavy approach.
Polar: strong value hands + semi-bluffs with draws.
After bet + call: pot = 1,680 chips (16.8bb), remaining stacks = 9,160 (91.6bb), SPR ~5.45. Committed to multi-street play.
| Hand | Bet 90% | Bet 35% | Check | Why |
|---|---|---|---|---|
| 33 (bottom set) | 56% | 10% | 34% | Bottom set bets big for protection against overcards. |
| 98s | 49% | 16% | 36% | Top pair with 8 kicker — no draw, must protect. |
| TT | 48% | 5% | 47% | Overpair protecting against 4 overcards (J-A). |
| Q9s | 46% | 15% | 40% | Top pair good kicker — vulnerable to overcards. |
| 99 (top set) | 39% | 22% | 39% | Top set mixes all 3 actions — not vulnerable. |
| 76s | 36% | 14% | 50% | Semi-bluff: double gutshot (needs 4 or 8, 8 outs). |
| 87s | 34% | 15% | 51% | Semi-bluff: gutshot (needs 6, 4 outs). |
| K9s | 32% | 14% | 54% | Top pair — mostly checks at deep SPR. |
Thin value and equity denial — not a distinct range.
The small bet is a minor action (9.2% overall) used mostly by hands that also use the other two actions. After bet + call: pot = 1,020 chips (10.2bb), SPR ~9.30.
| Hand | Bet 90% | Bet 35% | Check | Why |
|---|---|---|---|---|
| 99 (top set) | 39% | 22% | 39% | Top set mixing sizes — keep BB's range wide. |
| T9s | — | 22% | — | Top pair decent kicker. Thin value. |
| 54s | — | 19% | — | Pair of 5s — equity denial at low cost. |
| 65s | — | 15% | — | Pair of 5s — same equity denial logic. |
| AQs | — | 12% | — | Thin bluff — two overcards, denying equity. |
| 38% | 11% | 51% | Overpair — mostly checks (pot control). |
The dominant action — pot control, trapping, and giving up.
SPR stays at 16.17. SB's checking range includes some of the strongest hands in the game — AA checks 77%, KK checks 59%. These hands trap for later streets.
| Hand | Bet 90% | Bet 35% | Check | Why |
|---|---|---|---|---|
| AA | 14% | 10% | 77% | Pot control — AA mostly checks at deep SPR! |
| KK | 29% | 12% | 59% | Overpair — mostly checks, trapping. |
| JJ | 36% | 9% | 55% | Overpair — slight check preference. |
| A9s | 28% | 9% | 63% | TPTK — mostly checks. No urgency at deep SPR. |
| AKs | 4% | 12% | 85% | Air — two overcards, nearly pure check. |
| AKo | 5% | 9% | 86% | Air — same as AKs. Gives up or delays. |
Why SB Checks 73% — The Deep SPR Effect
On the same board in a 3-bet pot (SPR 4.71), BB c-bets with 58.6% of range. Here at SPR 16.17, SB c-bets only 26.8%. The difference is entirely structural: at deep SPR, overpairs are not committed, sets can slow-play for three streets, and BB's range includes two-pair combos (95s, 53s, 93s) that raise aggressively. Every big bet faces real resistance — BB has sets that call or raise, two-pair that raises, draws with 8 outs (76s double gutshot), and top pair that never folds. Against this much defense, SB's thin value and weak holdings must check.
5 BB's Probe Strategy After SB Checks
When SB checks (73.2% of the time), BB faces a decision with position. The solver probes 47.4% total — much more aggressive than in the 3BP spot, reflecting the symmetry of BvB ranges. BB has legitimate value hands (two-pair, sets, strong top pair) that the 3BP BB doesn't have.
Polarized: two-pair, sets, strong top pair, and draws.
After probe + call: pot = 1,560 chips (15.6bb), remaining stacks = 9,220 (92.2bb), SPR ~5.91. Heading into a 2-3 street game.
| Hand | Bet 80% | Bet 25% | Check | Why |
|---|---|---|---|---|
| 95s | 99% | — | 0% | Pure value — nut two pair, always big. |
| 53s | 96% | — | 0% | Pure value — two pair. |
| 33 | 92% | — | 0% | Pure value — bottom set. |
| 55 | 86% | — | 0% | Pure value — middle set. |
| 93s | 85% | — | 0% | Value — weaker two pair. |
| A9s | 74% | 24% | 2% | Value — TPTK, near-pure bet. |
| 99 | 67% | 32% | 0% | Value — top set mixes big/small. |
| 76s | 66% | — | 10% | Semi-bluff — double gutshot (8 outs). |
| 87s | 66% | — | 17% | Semi-bluff — gutshot (needs 6, 4 outs). |
| 98s | 43% | — | 25% | Value — top pair (9s with 8 kicker). |
| 65s | 42% | — | 32% | Thin value — pair of 5s, equity denial. |
Equity denial: weak pairs, A-high with backdoor equity, thin value.
After probe + call: pot = 900 chips (9bb), SPR ~10.61. Wide ranges with thin advantages.
| Hand | Bet 80% | Bet 25% | Check | Why |
|---|---|---|---|---|
| A4s | — | 62% | 36% | Equity denial — A-high + gutshot (needs 2). |
| T3s | — | 61% | 26% | Equity denial — pair of 3s. |
| J3s | — | 61% | 29% | Equity denial — pair of 3s. |
| 99 | 67% | 32% | 0% | Thin value — top set mixing sizes. |
| A9s | 74% | 24% | 2% | Value — TPTK, some small bets. |
| 54s | — | 29% | 62% | Thin value — pair of 5s, mostly checks. |
Showdown value hands and weak holdings that can't profitably bet.
SPR remains at 16.17 after check-check. Both ranges are at maximum width heading into the turn — neither player has shown any aggression. SB's delayed c-bet on the turn becomes the primary strategic lever.
| Hand | Bet 80% | Bet 25% | Check | Why |
|---|---|---|---|---|
| 88 | — | — | ~95% | Underpair with showdown value — no reason to bet. |
| 77 | — | — | ~90% | Same logic — pot control with underpair. |
| 54s | — | 29% | 62% | Pair of 5s — mostly checks, some equity denial. |
| KTo | — | — | ~85% | Overcards with some showdown value. |
| Q8s | — | — | ~80% | Weak holding — no pair, no draw. |
| J5s | — | — | ~75% | Pair of 5s — thin, prefers checking back. |
BB's Two-Pair Advantage — The SRP Difference
In the 3BP version, BB didn't have 95s, 53s, or 93s — those hands were used as 3-bet bluffs. Here in the SRP, BB retains all three two-pair combos at full weight. This means BB's probing range has genuine nut hands that the 3BP BB lacked. When BB probes big, SB must respect that the range includes near-nut hands — not just overpairs and bluffs. This is why SB check-raises 19.7% against the big probe (vs 8.2% in the 3BP spot): SB needs to trap with strong hands because BB's range is too strong to let run freely.
Want to see these exact solver frequencies broken down hand by hand? Open this spot in Solver+ and explore the full decision tree. To drill BB probe strategy until it's automatic, train against a GTO opponent in Postflop+.
6 Responses to Aggression + SB's Check-Raise Strategy
When one player bets and the other must respond, the solver reveals sharply different defensive profiles depending on the sizing. This section covers BB's response to SB's c-bets, and SB's check-raise strategy when BB probes after a check. The most actionable finding: BB raises 22% vs the small c-bet — nearly 1 in 4 hands — and SB check-raises 26.7% vs BB's small probe. Both numbers dwarf what most players do at the table.
BB Facing SB's Big Bet (90% Pot = 540 chips)
The big bet applies real pressure. BB folds 40% and raises only 5% — a very inelastic response.
| Hand | Raise % | Call % | Category |
|---|---|---|---|
| 95s | 97% | 3% | Pure raise — nut two pair |
| 53s | 95% | 5% | Pure raise — two pair |
| 93s | 47% | 53% | Mixed — weaker two pair |
| 33 | 45% | 55% | Mixed — bottom set (trapping with calls) |
| 55 | 30% | 70% | Mostly call — middle set slow plays |
| A9s | 14% | 86% | Mostly call — TPTK doesn't raise big bets |
| 99 | 0% | 100% | Pure call — top set slow plays vs big bet |
Fold range: 44 (99%), 22 (99%), K8o (99%), Q8o (99%), 84s (99%) — underpairs below 66, unconnected overcards, and air all fold.
BB Facing SB's Small Bet (35% Pot = 210 chips)
The cheap price unlocks BB's aggression. BB raises 22% — nearly 1 in 4 hands. This is the critical finding of this node.
| Hand | Raise % | Call % | Category |
|---|---|---|---|
| 53s | 100% | 0% | Pure raise |
| 33 | 99% | 1% | Pure raise |
| 95s | 99% | 1% | Pure raise |
| 55 | 97% | 3% | Pure raise |
| 93s | 94% | 7% | Near-pure raise |
| 76s | 82% | 18% | Raise — double gutshot (8 outs) |
| 87s | 78% | 22% | Raise — gutshot + overcard |
| 99 | 72% | 28% | Raise — top set for value |
| A9s | 70% | 30% | Raise — TPTK for value |
| K9s | 64% | 36% | Raise — top pair good kicker |
| 98s | 56% | 44% | Raise — top pair with 8 kicker |
BB's 22% Raise — The Most Exploitable Gap
The solver raises 22% vs SB's small c-bet — sets, two-pair, top pair good kicker, AND strong draws. Most players raise only ~8% in this spot. This 14-point gap means SB can c-bet small more freely in practice because the actual punishment for doing so rarely materializes.
Ranges Entering Turn — Path F (Big XR 2160)
SB check-raise 2160 vs BB 80% probe → BB call.
OOP Unique (SB excess)
Common (overlap)
IP Unique (BB excess)
27.9 combos
16.7 unique
11.2 combos
shared
27.9 combos
16.7 unique
Ranges Entering Turn — Path F (Small XR 1200)
SB check-raise 1200 vs BB 80% probe → BB call.
OOP Unique (SB excess)
Common (overlap)
IP Unique (BB excess)
16.4 combos
7.5 unique
8.9 combos
shared
16.4 combos
7.5 unique
SB Facing BB's Big Probe (80% Pot = 480 chips)
SB checked strong hands on purpose — now they spring the trap. SB check-raises 19.7%, nearly 1 in 5 hands.
| Hand | XR % | Call % | Fold % | Category |
|---|---|---|---|---|
| TT | 100% | 0% | 0% | Pure XR — overpair crushes probe range |
| JJ | 100% | 0% | 0% | Pure XR |
| 100% | 0% | 0% | Pure XR | |
| A9s | 100% | 0% | 0% | Pure XR — TPTK springs the trap |
| 55 (mid set) | 87% | 13% | 0% | Heavy XR — sets raise for value |
| KK | 80% | 20% | 0% | Mostly XR, some calls to balance |
| 33 (bot set) | 77% | 23% | 0% | Heavy XR |
| 87s | 66% | 34% | 1% | Semi-bluff — gutshot (4 outs) |
| 76s | 64% | 36% | 0% | Semi-bluff — double gutshot (8 outs) |
| 98s | 64% | 36% | 0% | Semi-bluff — top pair, raises for protection |
| 99 (top set) | 38% | 62% | 0% | Mostly CALL — top set slow plays even here |
| AA | 17% | 83% | 0% | Mostly call — AA traps all streets |
| AKo | 2% | 11% | 87% | Fold — overcards can't continue |
Ranges Entering Turn — Path G (Big XR 675)
SB check-raise 675 vs BB 25% probe → BB call.
OOP Unique (SB excess)
Common (overlap)
IP Unique (BB excess)
65.8 combos
32.8 unique
33 combos
shared
65.8 combos
32.8 unique
Ranges Entering Turn — Path G (Small XR 375)
SB check-raise 375 vs BB 25% probe → BB call.
OOP Unique (SB excess)
Common (overlap)
IP Unique (BB excess)
8.2 combos
3.4 unique
4.8 combos
shared
8.2 combos
3.4 unique
SB Facing BB's Small Probe (25% Pot = 150 chips)
The most aggressive check-raise node on the entire board. SB check-raises 26.7% — more than 1 in 4 times.
| Hand | XR % | Call % | Fold % | Category |
|---|---|---|---|---|
| TT | 100% | 0% | 0% | Pure XR |
| 33 (bot set) | 100% | 0% | 0% | Pure XR |
| A9s | 99% | 1% | 0% | Pure XR — TPTK |
| 55 (mid set) | 98% | 2% | 0% | Pure XR |
| JJ | 97% | 3% | 0% | Pure XR |
| 99 (top set) | 96% | 4% | 0% | Now RAISES — no need to slow play vs small |
| 90% | 10% | 0% | Heavy XR | |
| 87s | 84% | 16% | 0% | Semi-bluff — gutshot + overcard |
| K9s | 81% | 19% | 0% | Value — top pair good kicker |
| 76s | 81% | 19% | 0% | Semi-bluff — double gutshot |
| Q9s | 79% | 21% | 0% | Value — top pair |
| 98s | 77% | 23% | 0% | Value — top pair |
| KK | 68% | 32% | 0% | Heavy XR, some calls |
| AA | 41% | 59% | 0% | Mixed — AA still mostly calls |
| 88 | 0% | 100% | 0% | Pure call — underpair with showdown value |
| AKo | 2% | 97% | 1% | Call — AK gets cheap price vs small |
99 Calls vs Big Probe but Raises vs Small Probe
This is a subtle but important sizing tell. Against BB's big probe, 99 (top set) calls 62% and check-raises only 38% — the big probe already builds the pot, so top set can slow play into a massive turn pot. Against BB's small probe, 99 raises 96% — the small bet doesn't build the pot fast enough, so top set must raise to start getting stacks in. If you hold top set and the opponent probes small, raise almost always.
SB's Check-Raise Frequencies — The Hidden Aggression
SB check-raises 19.7% vs big probes and 26.7% vs small probes. Most players check-raise only 5-8% in these spots — a gap of 12-19 percentage points. The XR range is led by overpairs (TT-QQ at 100% XR vs big probes), TPTK (A9s at 100%), and sets. When you are SB on 9-5-3 rainbow and BB probes after your check, you should be check-raising with any top pair or better, all draws, and even some hands like 65s as bluffs. Only underpairs (88, 77) and overcards (AK, AQ) just call.
To study these check-raise frequencies in detail and find the exact thresholds for your range, explore this spot in Solver+. For drilling check-raise decisions until they're automatic, train against a GTO opponent in Postflop+.
7 Decision Tree
Here is the complete decision tree for 9♥ 5♦ 3♣ rainbow in a BvB single raised pot. Every path from SB's first action through BB's response is mapped with solver frequencies. Use this as a reference when you encounter this board — find your path and know exactly what the solver recommends.
Reading the Tree — Where the Money Lives
The highest-EV path for SB is checking and letting BB probe, then check-raising with the trapped strong hands. SB's check-raise frequencies (19.7-26.7%) generate enormous value from the hands that deliberately checked the flop. For BB, the highest-EV deviation is raising more vs the small c-bet — most players fold or call when they should be raising 22% of the time. These two nodes represent the biggest gaps between solver play and typical play on this board.
Map every branch of this decision tree to your own game using Solver+ for the exact frequencies and Postflop+ to practice each path until the correct response is automatic.
8 Turn Strategy
The turn is where the flop paths diverge into dramatically different strategic landscapes. Each of the five dominant flop continuations produces a unique pot size, SPR, and range composition. SB's turn aggression swings from 3% to 70% depending on the turn card — the largest card-dependent frequency swings in the entire game tree. The overarching principle: overcards (J, Q, K) are barrel cards; low cards and pairing cards are shutdown cards.
Study each path below to understand how your flop decision echoes through the turn. For the exact solver frequencies on any specific turn card, load this spot in Solver+ and step through the tree.
Ranges Entering Turn — Path A
SB bet 90% → BB call. Ranges filtered by flop action.
OOP Unique (SB excess)
Common (overlap)
IP Unique (BB excess)
118.3 combos
58.6 unique
59.7 combos
shared
118.3 combos
58.6 unique
Path A: SB Bet 90% Flop, BB Called — SB Acts on Turn
After committing 540 chips on the flop, both ranges are strong. SB's turn barrel frequency is extremely card-dependent — overcards that improve overpairs are heavy barrels, while low cards and pairing cards are near-pure checks.
SB's Turn Action Frequencies by Card
| Turn Card | Check | Bet ~95% Pot | Category |
|---|---|---|---|
| J♣ overcard | 30% | 70% | Highest barrel — JJ improves, many draws |
| Q♣ overcard | 39% | 55% | QQ improves, strong barrel card |
| K♦ overcard | 49% | 44% | KK + new top pair Kx hands barrel |
| 2♥ brick | 63% | 29% | Standard brick — moderate barrel |
| A♥ overcard | 71% | 23% | SB slows — Ace helps BB's Ax |
| 9♠ pairs top | 87% | 10% | Pairing card helps BB's 9x more |
| 7♥ straight | 83% | 6% | Completes 76/87 draws for BB |
| 6♠ straight | 86% | 10% | Same dynamic — BB's draws complete |
| 5♣ pairs mid | 95% | 4% | Near-pure check — 5 helps BB |
| 4♦ gutshot | 95% | 3% | Lowest barrel — 4 helps BB's 42/64 |
The 23x Swing
J♣ (70% barrel) vs 4♦ (3% barrel) is a 23x difference in aggression. Overcards improve SB's overpairs and create new top pairs — these are the only barrel cards. Low cards, pairing cards, and straight-completing cards all shut SB down because they improve BB's calling range more than SB's betting range.
BB's Response to SB's Turn Barrel
| Turn Card | SB Barrel % | BB Fold | BB Call | BB Raise/AI |
|---|---|---|---|---|
| J♣ (95% pot) | 70% | 49% | 43% | 9% (all-in) |
| Q♣ (95% pot) | 55% | ~50% | ~42% | ~8% |
| K♦ (95% pot) | 44% | ~55% | ~40% | ~5% |
| 2♥ brick (95% pot) | 29% | 66% | 33% | 2% |
The brick barrel is the most fold-effective (66% fold) despite being the least frequent — SB only fires 29% on 2♥ but gets two-thirds of BB's range to fold when they do.
When SB Checks Turn (Path A)
BB probes 59% on bricks (mostly small — 48% at 25% pot) and 59% on the J turn (mostly large — 32% at 80% pot + 15% overbet). BB checks back only 41% on most cards. BB does NOT give up when SB checks the turn — BB continues barreling the majority of the time.
Ranges Entering Turn — Path B
SB bet 35% → BB call. Wider ranges than Path A.
OOP Unique (SB excess)
Common (overlap)
IP Unique (BB excess)
71.3 combos
25 unique
46.2 combos
shared
71.3 combos
25 unique
Path B: SB Bet 35% Flop, BB Called — SB Acts on Turn
After the small flop c-bet, both ranges are wide. SB now has access to four sizing options including a 150% pot overbet on specific turn cards. The overbet appears almost exclusively on J♣ and Q♣ — the same overcards that drive aggression in Path A.
SB's Turn Action Frequencies by Card
| Turn Card | Check | Bet ~40%p | Bet ~95%p | Bet ~150%p |
|---|---|---|---|---|
| J♣ overcard | 39% | 20% | 31% | 11% |
| Q♣ overcard | 45% | 17% | 24% | 14% |
| K♦ overcard | 52% | 17% | 26% | 5% |
| 9♠ pairs top | 54% | 16% | 24% | 7% |
| A♥ overcard | 64% | 12% | 22% | 2% |
| 2♥ brick | 58% | 23% | 16% | 3% |
| 4♦ gutshot | 58% | 31% | 11% | 1% |
| 7♥ straight | 61% | 29% | 7% | 3% |
| 5♣ pairs mid | 63% | 23% | 12% | 2% |
| 6♠ straight | 64% | 27% | 7% | 2% |
The 150% Overbet Tells a Story
J♣ and Q♣ are the only turn cards where SB uses the 150% pot overbet at meaningful frequency (11-14%). These overcards improve SB's overpairs and create hands strong enough to build a pot for stacks. On low/connecting cards, SB sizes DOWN — using 40% pot as the primary sizing because the board helps BB's range. The sizing choice alone signals hand strength.
Ranges Entering Turn — Path C
Both players checked flop. SB uncapped, BB capped.
OOP Unique (SB excess)
Common (overlap)
IP Unique (BB excess)
309.5 combos
84.9 unique
224.6 combos
shared
309.5 combos
84.9 unique
Path C: Both Check Flop — SB Acts on Turn (Delayed C-Bet)
After check-check on the flop, the pot is still just 6bb with 97bb behind — the deepest SPR of any turn node. Both ranges are at maximum width. SB's delayed c-bet frequency is 31-46% depending on the card, with A♥ and K♦ as the strongest probe cards because SB has more AA/KK/AK that checked the flop for pot control.
SB's Delayed C-Bet Frequencies by Card
| Turn Card | Check | Bet 40%p | Bet 95%p | Bet 150%p | Total Bet |
|---|---|---|---|---|---|
| A♥ overcard | 54% | 24% | 18% | 4% | 46% |
| K♦ overcard | 56% | 19% | 20% | 5% | 44% |
| 7♥ straight | 59% | 28% | 6% | 7% | 41% |
| 9♠ pairs top | 60% | 14% | 10% | 16% | 40% |
| Q♣ overcard | 63% | 14% | 14% | 9% | 37% |
| 2♥ brick | 63% | 19% | 13% | 5% | 37% |
| 4♦ gutshot | 64% | 26% | 7% | 3% | 36% |
| 5♣ pairs mid | 65% | 25% | 6% | 4% | 35% |
| J♣ overcard | 67% | 16% | 8% | 9% | 33% |
| 6♠ straight | 69% | 22% | 5% | 4% | 31% |
Delayed C-Bet Card Priority Inverts
Unlike Path A where J♣ was the strongest barrel card, the delayed c-bet favors A♥ (46%) and K♦ (44%) — SB's AA/KK/AK that checked the flop for pot control now fire. J♣ is actually the weakest overcard for delayed c-betting (33%) because SB's JJ hands mostly bet the flop. The 9♠ card stands out: 16% at 150% pot overbet — the highest overbet frequency of any card. SB's trapped sets and overpairs want to build the pot quickly when the board pairs.
BB's Response to Delayed C-Bet (2♥ Brick Turn)
| SB Bet Size | BB Fold | BB Call | BB Raise |
|---|---|---|---|
| 40% pot (2.4bb) | 22% | 55% | 24% |
| 95% pot (5.7bb) | 41% | 46% | 13% |
| 150% pot (9.0bb) | 52% | 42% | 6% |
BB raises 24% vs the small delayed c-bet — mirroring the flop small-bet raise dynamic. The overbet gets half of BB's range to fold.
When SB Checks Turn (Path C)
BB probes 57% (20% small, 25% medium, 12% large). BB does NOT check back passively after a check-check flop — more than half the time BB fires on the turn. SB must account for this when deciding to check the turn with trapping hands.
Ranges Entering Turn — Path D
SB check → BB bet 80% → SB call.
OOP Unique (SB excess)
Common (overlap)
IP Unique (BB excess)
136.4 combos
87.5 unique
48.9 combos
shared
136.4 combos
87.5 unique
Path D: SB Check → BB Probes 80% → SB Calls — Turn
After check-calling BB's big flop probe, SB has a trap-heavy range (overpairs, sets that didn't check-raise). On the turn, SB is extremely passive — checking 73-99% on all cards. The only meaningful leads come on pairing cards where the trap range improves.
SB's Turn Action Frequencies by Card
| Turn Card | Check | Bet ~30%p | Bet ~65%p | Category |
|---|---|---|---|---|
| 9♠ pairs top | 73% | 27% | 0% | Strongest lead — SB's 99 trips |
| 5♣ pairs mid | 76% | 24% | 0% | SB leads with improved sets/trips |
| 2♥ brick | 83% | 12% | 5% | SB very passive on blanks |
| 7♥ straight | 84% | 16% | 0% | Small leads with connected hands |
| 4♦ gutshot | 87% | 10% | 3% | Small leads only |
| 6♠ straight | 88% | 10% | 2% | Similar — less aggressive |
| A♥ overcard | 97% | 3% | 0% | Pure check — Ace scares both |
| Q♣ overcard | 97% | 2% | 0% | Pure check |
| J♣ overcard | 98% | 2% | 0% | Pure check |
| K♦ overcard | 99% | 1% | 0% | Pure check — SB never leads |
SB is Pure Check-Call/Check-Raise Territory
On overcards (A, K, Q, J), SB checks 97-99% — these cards don't help the trap range. The only meaningful leads come on pairing cards (9♠ at 27%, 5♣ at 24%) where SB's sets and overpairs improve to trips or full houses. This is the purest check-call/check-raise turn node in the entire tree.
BB's Turn Continuation (After SB Checks)
| Turn Card | BB Check | BB Bet ~25%p | BB Bet ~80%p | BB Overbet ~135%p | Total Barrel |
|---|---|---|---|---|---|
| J♣ overcard | 50% | 3% | 38% | 9% | 50% |
| Q♣ overcard | 52% | 2% | 36% | 10% | 48% |
| 7♥ straight | 53% | 7% | 36% | 4% | 47% |
| 2♥ brick | 56% | 3% | 25% | 17% | 44% |
| A♥ overcard | 57% | 2% | 25% | 16% | 43% |
| K♦ overcard | 58% | 3% | 30% | 9% | 42% |
| 9♠ pairs top | 64% | 7% | 9% | 21% | 36% |
BB barrels 36-50% on the turn. The 9♠ is unique: lowest total barrel (36%) but highest overbet frequency (21%). BB's trips and sets want to pile in when the top card pairs, but the rest of BB's range shuts down because SB's trapping 99 improved.
Ranges Entering Turn — Path E
SB check → BB bet 25% → SB call.
OOP Unique (SB excess)
Common (overlap)
IP Unique (BB excess)
96.6 combos
48.2 unique
48.4 combos
shared
96.6 combos
48.2 unique
Path E: SB Check → BB Probes 25% → SB Calls — Turn
After the small flop probe and SB's call, both ranges remain wide. SB is near-pure check on the turn (84-99% on most cards), with only the A♥ generating meaningful probing (31% — AA and AK improve). This path produces BB's MOST aggressive turn continuation.
SB's Turn Action Frequencies by Card
| Turn Card | SB Check | SB Bet ~35%p | SB Bet ~80%p |
|---|---|---|---|
| A♥ overcard | 68% | 31% | 1% |
| J♣ overcard | 84% | 14% | 2% |
| Q♣ overcard | 89% | 9% | 2% |
| K♦ overcard | 92% | 6% | 2% |
| 2♥ brick | 98% | 2% | — |
| 7♥ straight | 98% | 1% | — |
| 9♠ pairs top | 98% | 2% | — |
| 5♣ pairs mid | 98% | 1% | — |
| 6♠ straight | 99% | 1% | — |
| 4♦ gutshot | 99% | 1% | — |
BB's Turn Continuation (After SB Checks)
| Turn Card | BB Check | BB Bet ~25%p | BB Bet ~80%p | BB Overbet ~135%p | Total Barrel |
|---|---|---|---|---|---|
| 6♠ straight | 28% | 22% | 45% | 6% | 72% |
| 4♦ gutshot | 28% | 6% | 48% | 18% | 72% |
| 7♥ straight | 32% | 23% | 32% | 14% | 68% |
| 9♠ pairs top | 41% | 2% | 48% | 9% | 59% |
| 2♥ brick | 44% | 5% | 37% | 14% | 56% |
| 5♣ pairs mid | 47% | 5% | 38% | 10% | 53% |
| J♣ overcard | 52% | 2% | 20% | 25% | 48% |
| Q♣ overcard | 55% | 2% | 21% | 23% | 45% |
| K♦ overcard | 57% | 3% | 16% | 24% | 43% |
| A♥ overcard | 66% | 2% | 5% | 27% | 34% |
Path E is BB's MOST Aggressive Turn Line
BB barrels 34-72% after the small probe — dramatically more than Path D (36-50%). Low/connecting cards trigger the highest frequencies: 6♠ and 4♦ at 72%, 7♥ at 68%. The small flop probe left both ranges wider, and BB uses the turn barrel to pressure SB's wide calling range. Compare Path D (big probe) vs Path E (small probe): on 7♥ the difference is +21 percentage points, on 9♠ it's +23pp.
Every turn decision tree branches differently based on the flop path. To explore the exact hand-by-hand frequencies on any specific turn card, load this spot in Solver+ and step forward one street. Practice navigating each branch in Postflop+ until the correct response is automatic.
9 River Strategy
River play in BvB SRP is where hand classification matters most. With ranges at their narrowest and pot sizes varying from 6bb (full check-through) to 49.6bb (three streets of aggression), every river decision must be calibrated to the specific line that led here. Block betting is even more important than in 3-bet pots because ranges are wider and more showdown-value hands exist. The solver uses a consistent 35%/90% pot sizing framework across nearly all river nodes — a powerful simplification for study.
ABCDE Hand Classification — River Decision Framework
| Class | Description | Mandatory Play |
|---|---|---|
| A — Nuts | Sets, two-pair+ | Distribute across bet sizes |
| B — Thick Value | Strong overpairs, top pair strong kicker | Bet or trap (check-raise) |
| C — Thin Value | Weak top pair, middle pair | Block bet (OOP) or standard bet (IP) |
| D — SDV | Small pairs, weak pairs | Check |
| E — Air | Busted draws, overcards | Bluff from bottom of range upward |
SB's Block Bet Ladder (OOP, SPR 5+)
At SPR below 2 (after 3 streets of aggression), block bets don't exist — it's check or shove. This ladder applies to lines with moderate-to-high SPR.
| SB Hand | Equity Est. | Block Bet Size | Logic |
|---|---|---|---|
| Pair of 3s (A3s, 43s) | ~55% | 10% pot | Weakest thin value — beats only total air |
| Pair of 5s (65s, 54s) | ~58% | 15-20% pot | Slightly stronger — beats air + lowest pairs |
| 9x weak kicker (97s, 96s) | ~62% | 25% pot | Solid thin value — top pair weak kicker |
| T9s (top pair) | ~65% | 25-33% pot | Stronger thin value |
| Q9s (top pair good kicker) | ~68% | 33% pot | Transitioning toward standard bet territory |
| K9s (top pair strong kicker) | ~72% | 33-50% pot | Thick value |
| A9s (TPTK) | ~78% | 50% pot | Standard value bet — no longer a block bet |
| Sets (99, 55, 33) | ~90%+ | 66-100% pot | Class A — max value |
Path A River: SB C-Bet 90% Flop → BB Called
Ranges Entering River — Path A (x/x Turn)
SB bet 90% flop → BB call → both check turn → K♦ river.
OOP Unique (SB excess)
Common (overlap)
IP Unique (BB excess)
72.7 combos
34.6 unique
38.2 combos
shared
72.7 combos
34.6 unique
After SB's big c-bet → BB call → both check turn (2♥ brick). Pot ~16.80bb, stacks ~91.60bb. BB's turn check capped their range, so SB bets 37-53% on all rivers.
| River Card | Check | Bet ~40%p | Bet ~95%p | Bet ~150%p |
|---|---|---|---|---|
| K♦ overcard | 47% | 18% | 25% | 10% |
| A♥ overcard | 50% | 35% | 12% | 4% |
| T♣ overcard | 52% | 27% | 21% | — |
| 7♠ straight | 59% | 25% | 16% | 1% |
| 4♦ connects | 63% | 26% | 12% | — |
| 2♦ double brick | 63% | 18% | 11% | 7% |
K♦ is the strongest bet card (53% total, including 10% overbet) — SB's KK improved and can be represented credibly. A♥ generates high volume but spread across sizes (35% at 40% pot). Static cards (2♦, 4♦) are check-heavy at 63%.
Ranges Entering River — Path A (J♣ Barrel)
SB bet 90% flop → BB call → SB barrel J♣ turn → BB call → K♦ river.
OOP Unique (SB excess)
Common (overlap)
IP Unique (BB excess)
88 combos
54.6 unique
33.4 combos
shared
88 combos
54.6 unique
After SB c-bet 90% flop → BB call → SB barrels J♣ turn at 95% pot → BB calls. Pot ~49.6bb, stacks ~75.8bb (SPR ~1.5). This is a deeply committed line — both players have strong ranges.
| River | SB Check | SB Bet ~40%p | SB All-In |
|---|---|---|---|
| K♦ | 38% | 51% | 11% |
| A♥ | 49% | 50% | 1% |
| 4♦ | 53% | 28% | 19% |
| 7♠ | 54% | 32% | 14% |
| 2♦ | 51% | 24% | 25% |
| T♣ | 92% | 8% | — |
BB's Response When SB Checks River (After J♣ Turn Barrel)
| River | BB Check | BB Bet ~35%p | BB All-In |
|---|---|---|---|
| 7♠ | 37% | 26% | 37% |
| 4♦ | 40% | 23% | 36% |
| 2♦ | 47% | 18% | 36% |
| A♥ | 68% | 15% | 17% |
| K♦ | 68% | 13% | 19% |
| T♣ | 68% | 1% | 31% |
BB's response is explosive. On 7♠, 4♦, and 2♦, BB shoves 36-37% when checked to. BB's draws completed (76s/87s on 7♠) or BB's calling range (sets, strong pairs) finally extracts value. T♣ is SB's shutdown card (92% check) because it improves BB's TT and T9s — but BB then bets 32% including 31% all-in.
Ranges Entering River — Path B (x/x Turn)
SB bet 35% flop → BB call → x/x turn → K♦ river.
OOP Unique (SB excess)
Common (overlap)
IP Unique (BB excess)
36.7 combos
15.3 unique
21.4 combos
shared
36.7 combos
15.3 unique
Path B River: SB C-Bet 35% Flop → BB Called → Both Check Turn
After the small-bet → call → x/x turn line. Pot ~10.20bb, stacks ~94.90bb. Both ranges are wide and medium-strength — this is the most balanced river spot in the entire tree.
SB Acts on River
| River Card | SB Check | SB Bet ~40%p | SB Bet ~95%p | SB Bet ~150%p |
|---|---|---|---|---|
| A♥ overcard | 52% | 44% | 4% | — |
| K♦ overcard | 51% | 14% | 17% | 17% |
| 4♦ connects | 60% | 39% | — | 1% |
| T♣ overcard | 63% | 14% | 19% | 4% |
| 7♠ straight | 64% | 27% | 7% | 3% |
| 2♦ double brick | 72% | 18% | 9% | 2% |
BB Acts When SB Checks
| River Card | BB Check | BB Bet ~40%p | BB Bet ~90%p | BB Bet ~150%p |
|---|---|---|---|---|
| K♦ overcard | 45% | 28% | 27% | — |
| T♣ overcard | 47% | 26% | 26% | — |
| 2♦ double brick | 47% | 24% | 30% | — |
| A♥ overcard | 50% | 23% | 15% | 12% |
| 4♦ connects | 51% | 27% | 15% | 7% |
| 7♠ straight | 52% | 21% | 27% | — |
Both players bet ~40-55% on the river. BB uses 90% pot as primary sizing on most cards. This is the most balanced river spot — both ranges are wide and medium-strength, making it ideal for practicing the 35%/90% sizing split.
Path C River: Both Check Flop
Ranges Entering River — Path C (SB Probe → BB Call)
x/x flop → SB probe turn → BB call → K♦ river.
OOP Unique (SB excess)
Common (overlap)
IP Unique (BB excess)
121.3 combos
57 unique
64.3 combos
shared
121.3 combos
57 unique
After x/x flop → SB probes 40% turn (2♥ brick) → BB calls. Pot ~10.80bb, stacks ~95.60bb. SB continues 22-72% on the river — definitively NOT a "one-and-done" probe.
| River Card | Check | Bet ~40%p | Bet ~95%p | Bet ~150%p |
|---|---|---|---|---|
| 7♠ straight | 28% | 52% | 20% | — |
| T♣ overcard | 38% | 47% | 13% | 1% |
| 2♦ double brick | 34% | 51% | 14% | 1% |
| K♦ overcard | 50% | 33% | 15% | 2% |
| 4♦ connects | 67% | 12% | 21% | 1% |
| A♥ overcard | 78% | 15% | 4% | 3% |
7♠ is the best barrel river (72% bet, mostly 40% pot) — SB's 76s/87s made straights. T♣ and 2♦ are strong continuation cards (62-66%). A♥ is a near-pure check (78%) — the Ace helps BB's calling range full of Ax.
Ranges Entering River — Path C (x/x Turn)
x/x flop → x/x turn → K♦ river. Maximum range width.
OOP Unique (SB excess)
Common (overlap)
IP Unique (BB excess)
124.5 combos
52.3 unique
72.1 combos
shared
124.5 combos
52.3 unique
After check-check-check-check. Pot 6.00bb, stacks 97.00bb. Ranges are at maximum width — neither player has shown any aggression.
| River Card | Check | Bet ~40%p | Bet ~95%p | Bet ~150%p |
|---|---|---|---|---|
| A♥ overcard | 40% | 39% | 8% | 14% |
| J♣ overcard | 54% | 23% | 15% | 7% |
| 7♠ straight | 54% | 29% | 13% | 4% |
| K♦ overcard | 57% | 28% | 10% | 5% |
A♥ is the best bet card (60% total, including 14% overbet). SB's AA checked all three streets and finally fires, plus AK/AQ improved. Even after x/x/x/x, SB still bets 43-60% on the river.
BB Acts After SB Probes Turn → BB Calls → SB Checks River
After x/x flop → SB probed 40% turn (2♥) → BB called → SB checks river. Pot ~10.80bb, stacks ~95.60bb.
| River Card | BB Check | BB Bet ~35%p | BB Bet ~90%p | BB All-In |
|---|---|---|---|---|
| 2♦ double brick | 44% | 29% | 22% | 5% |
| A♥ overcard | 46% | 26% | 16% | 13% |
| K♦ overcard | 47% | 30% | 23% | — |
| 7♠ straight | 48% | 26% | 25% | — |
| 4♦ connects | 53% | 3% | 22% | 22% |
| T♣ overcard | 54% | 20% | 25% | — |
BB Acts After Full Check-Through (x/x/x/x → SB Checks River)
Pot 6.00bb, stacks 97.00bb. Maximum width ranges.
| River Card | BB Check | BB Bet ~35%p | BB Bet ~90%p | BB Bet ~150%p |
|---|---|---|---|---|
| 2♦ double brick | 41% | 28% | 28% | 3% |
| 7♠ straight | 45% | 17% | 33% | 5% |
| A♥ overcard | 46% | 32% | 22% | — |
| K♦ overcard | 46% | 30% | 24% | — |
| 4♦ connects | 47% | 33% | 13% | 7% |
| T♣ overcard | 54% | 19% | 27% | — |
BB bets 46-59% when checked to on the river across all lines. The primary sizing is 90% pot for value, 35% pot for thin value. This consistency is a strong simplification — learn the 35%/90% split and apply it universally.
Ranges Entering River — Path D (x/x Turn)
SB check → BB bet 80% → SB call → x/x turn → K♦ river.
OOP Unique (SB excess)
Common (overlap)
IP Unique (BB excess)
79 combos
47.8 unique
31.2 combos
shared
79 combos
47.8 unique
Path D River: SB Check → BB Probes 80% → SB Calls → Both Check Turn → River
After check → BB probe 80% → SB call → both check turn (2♥ brick). Pot ~15.60bb, stacks ~92.20bb. SB's range is strong (check-called the probe = trapping overpairs, sets). This is the most aggressive SB river spot — the trap pays off.
SB Acts on River
| River | SB Check | SB ~40%p | SB ~95%p | SB ~150%p |
|---|---|---|---|---|
| 7♠ straight | 29% | 13% | 54% | 4% |
| A♥ overcard | 37% | 54% | 6% | 4% |
| K♦ overcard | 42% | 40% | 9% | 9% |
| 2♦ double brick | 48% | 43% | 8% | 1% |
BB Acts When SB Checks
| River | BB Check | BB ~35%p | BB ~90%p | BB ~150%p |
|---|---|---|---|---|
| K♦ overcard | 67% | 11% | 22% | — |
| A♥ overcard | 69% | 17% | 8% | 7% |
| 7♠ straight | 70% | 14% | 17% | — |
| 2♦ double brick | 72% | 14% | 11% | 3% |
SB leads 52-71% on every river — the most aggressive SB river spot. 7♠ is explosive: 71% bet with 54% at 95% pot. SB's 76s/87s made straights and sets want to pile in. BB is passive when checked to (67-72% check) — BB's probe range was already thinned and respects SB's trap range.
Path E River: SB Check → BB Probes 25% → SB Calls
Ranges Entering River — Path E (BB Barrel Turn)
SB x → BB bet 25% → SB call → BB barrel turn → SB call → K♦ river.
OOP Unique (SB excess)
Common (overlap)
IP Unique (BB excess)
36.8 combos
23.1 unique
13.7 combos
shared
36.8 combos
23.1 unique
BB probed 25% flop → SB called → SB checks turn → BB barrels ~95% pot → SB calls. Board 9♥ 5♦ 3♣ 2♥. Pot 23.4bb, stacks 88.3bb (SPR 3.77). SB checks 83-100% on the river — a pure check-call/check-fold spot.
SB Acts on River (Near-Pure Check)
| River | SB Check | SB Bet ~35%p |
|---|---|---|
| 4♦ connects | 70% | 29% |
| A♥ overcard | 83% | 17% |
| 7♠ straight | 98% | 2% |
| 2♦ double brick | 98% | 2% |
| K♦ overcard | 100% | — |
| T♣ overcard | 100% | — |
BB Acts When SB Checks
| River | BB Check | BB Bet ~90%p | BB Bet ~150%p | BB All-In |
|---|---|---|---|---|
| T♣ overcard | 45% | 38% | 9% | 8% |
| K♦ overcard | 48% | 31% | 10% | 11% |
| 7♠ straight | 53% | 22% | 12% | 12% |
| A♥ overcard | 57% | 25% | 15% | 3% |
| 2♦ double brick | 57% | 15% | 17% | 12% |
| 4♦ connects | 68% | 3% | 21% | 8% |
BB bets 43-55% with heavy action. K♦ and T♣ trigger the most aggression (52-55% total). BB all-in frequency is 8-12% on most rivers — a significant jam component from sets, two-pair, and overpairs that want stacks in.
BB probed 25% flop → SB called → both check turn (2♥). Pot 9.0bb, stacks 95.5bb (SPR 10.61).
SB Acts on River
| River | SB Check | SB Bet ~40%p | SB Bet ~95%p | SB Bet ~150%p |
|---|---|---|---|---|
| 4♦ connects | 31% | 52% | 2% | 15% |
| A♥ overcard | 35% | 56% | 2% | 7% |
| K♦ overcard | 36% | 38% | 21% | 5% |
| T♣ overcard | 46% | 33% | 21% | 1% |
| 7♠ straight | 47% | 25% | 27% | 2% |
| 2♦ double brick | 65% | 26% | 6% | 3% |
BB Acts When SB Checks
| River | BB Check | BB Bet ~35%p | BB Bet ~90%p | BB Bet ~150%p |
|---|---|---|---|---|
| 4♦ connects | 52% | 13% | 33% | 2% |
| T♣ overcard | 52% | 20% | 27% | 1% |
| A♥ overcard | 53% | 22% | 22% | 4% |
| 2♦ double brick | 54% | 22% | 21% | 3% |
| K♦ overcard | 57% | 16% | 27% | — |
| 7♠ straight | 63% | 20% | 14% | 3% |
SB bets 35-69% — much more aggressive than the barrel scenario because SB's range wasn't filtered by calling a turn barrel. A♥ (65% bet) and 4♦ (69% bet) are the best probe cards. 2♦ is the shutdown card for SB (only 35% bet). BB bets 37-48% when checked to — fairly balanced.
Key River Principles for BvB SRP
Block betting is even more important than in 3-bet pots because ranges are wider and more showdown-value hands exist. Delayed c-bet lines (check-check flop → probe turn → barrel river) are the highest-EV exploit in this spot. The solver uses a consistent 35%/90% sizing framework on the river across all lines — learn this split and apply it everywhere. When in doubt about whether to bluff the river, prefer busted single-overcard draws over two-overcard hands, and never bluff hands that beat BB's check-back range.
To internalize these river frequencies, load each path in Solver+ and step through to the river. Then drill the most common river scenarios against a GTO opponent in Postflop+ — river play is where the biggest EV gaps live between solver strategy and real-world execution.
10 Quick Reference Cheat Sheet
Board Texture Classification
When you encounter similar boards at the table, classify them immediately using this framework to choose the right SRP strategy:
| Board | Category | SB C-Bet % | Key Difference from 9-5-3r |
|---|---|---|---|
| 9-5-3r (this study) | Two mid, spread, low connectivity | 27% | Baseline — moderate nut advantage, SB checks 73% |
| 9-5-2r | Two mid, spread | ~25% | Very similar — 2 reduces BB two-pair combos slightly |
| 7-4-2r | Two mid, spread | ~22% | Even lower — 7-high means SB has MORE overcards for turns |
| 8-5-3r | Two mid, spread | ~26% | Nearly identical — 8 instead of 9 shifts one overpair |
| T-6-3r | One high, spread | ~35% | Higher — T-high gives SB stronger nut advantage |
| K-7-2r | One high, low-interaction | ~45% | Much higher — K dominates both ranges, clear nut edge |
The pattern: as the high card drops, SB's c-bet frequency drops. 9-5-3r sits in the "check-heavy" zone where SB's overpairs don't dominate enough to bet aggressively.
SRP vs 3BP Comparison
The same board plays completely differently depending on pot type. Here is how the Single Raised Pot and 3-Bet Pot diverge on 9♥ 5♦ 3♣:
| Dimension | SRP (this study) | 3BP |
|---|---|---|
| Pot at flop | 6bb | 19.2bb |
| SPR | 16.17 | 4.71 |
| SB c-bet % | 27% (has initiative) | 1.7% (no initiative — SB is caller) |
| SB role | Raiser (initiative holder) | Caller (no initiative) |
| BB probe after check | 47% | 60% (two sizings: 25%/80%) |
| Nut advantage | SB (overpairs AA-TT) | BB (overpairs — SB 4-bet those pre) |
| Key dynamic | SB c-bets selectively, BB defends wide | BB c-bets with initiative, SB check-calls |
| Best exploit | Delayed c-bet on turn | SB under-check-raises flop |
| Board texture impact | Small-or-check (SB checks 73%) | BB uses two sizes for different ranges |
The SPR difference (16.17 vs 4.71) drives everything. At deep stacks, one-pair hands cannot commit — they must control the pot. At shallow stacks, overpairs can stack off comfortably.
Common Misconceptions
| Misconception | Reality |
|---|---|
| "SB should range-bet on dry boards" | Wrong. SB checks 73% on 9-5-3r. The deep SPR (16.17) means one-pair hands cannot profitably build the pot, and BB's range connects well with low/mid cards. |
| "BB should just call facing a small bet" | Wrong. BB raises 22% versus SB's small c-bet. Sets, two-pair, and strong draws attack the cheap sizing aggressively. |
| "After checking, just give up" | Wrong. SB check-raises 19-27% versus BB probes. The checking range is loaded with traps — TT-QQ pure check-raise, A9s pure check-raise, sets at 77-87%. |
| "AA should always bet the flop" | Wrong. AA checks 77% at SPR 16.17. It is not vulnerable to overcards, benefits from trapping BB's 47% probe, and wants pot control at deep stacks. |
| "MDF says I should always defend here" | MDF is a theoretical constraint, not a calling recommendation. Use pot odds and blocker analysis for actual river decisions in this deep-SPR spot. |
PRACTICE THESE SPOTS
The best way to internalize these SRP frequencies is deliberate practice. Postflop+ lets you train specific BvB SRP spots against a GTO bot and shows where your strategy diverges from optimal. Solver+ gives you access to the precomputed solutions behind this analysis — step through each line street by street. And GTO Ranges+ helps you nail the wide SB opening and BB flatting ranges that make everything downstream work.
Analysis based on GTO solver data for 100bb cash BvB single raised pots (flop 9♥ 5♦ 3♣). All frequencies are solver-derived. Run these spots yourself with Solver+.
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Alex Kim
GTO Analyst
Solver wizard and theory enthusiast. Runs deep analysis on solver outputs and translates them into practical heuristics.
