{ "schema_version": "1.3", "rebuild": "v2", "provenance_class": "model_spot", "table_size": 6, "id": "aa-no-diamond-4bet-check", "format": "multi_option", "free": true, "updated_at": "2026-08-08T00:00:00Z", "source": { "session_id": "4-betPots", "verdict_audio": "quiz/audio/aa-no-diamond-4bet-check.m4a", "lesson_slug": null, "verdict_sentences": [ 862, 866 ], "verdict_events": [ "e0842", "e0843", "e0847" ], "verdict_t": [ 4557.1, 4589.87 ], "solver_node": { "tool": "PioViewer 2.0.7.21 (backend PioSOLVER-edge 2.0.8) — title bar and status bar, frame t=4586", "file": "Unnamed — the tree was built live in the tree builder (t=4463-4520) and never saved; the title bar reads \"Unnamed - PioViewer 2.0.7.21\". Only the postflop betting structure came from a file: config \"2.25BBto12BBto27BBwithForcedC-betinFourbetPot\" loaded with \"Change only betting structure when loading configuration\" CHECKED (verified frame t=4512), so that config supplied the bet tree ONLY — not the pot, the stacks or any preflop line. Its 2.25/12/27 name is a label on the betting-structure file and matches nothing on this felt.", "node": "r:0:c — IP decision after OOP checks the flop", "node_readout": "IP Decision: r:0:c | Board T♦ 7♦ 6♦ | Pot: 0 0 235 (235) Starting Stacks: 367", "video_t": [ 4416, 4600 ], "video_t_node_readout": 4586, "video_t_treebuilder": 4512, "video_t_verdict": [ 4555.7, 4593.1 ], "board": [ "Td", "7d", "6d" ], "pot_chips": 235, "stacks_chips": 367, "chips_per_bb": 5.0, "chips_per_bb_basis": "NOT an in-tool scale (the tree is unitless; the exploitability line's \"bb size = 100\" at t=4512 is the unedited default and would make this pot 2.35bb). The 5.0 comes from the SOURCE HAND the tree reproduces: the replayer log posts \"the small blind 2.50 / the big blind 5.00\" (frame t=4418), corroborated by PT4's paired $-vs-BB columns (-$80.00 ↔ -16.00 BB, -$105.00 ↔ -21.00 BB, $195.88 ↔ 39.18 BB; frame t=4416). It is used only to read the source hand in bb — no tree chip figure is converted for display.", "source_hand": { "hand": "#4438259579, \"$5 NL FAST (6 max)\" — PokerTracker 4 Playback window, t=4416-4441 (operator name in the title bar omitted per policy; frames read-only, never aired)", "video_t": [ 4416, 4441 ], "read": "dealt 3-HANDED. Log (t=4418-4423): P3 posts the small blind 2.50, Hero-of-the-hand posts the big blind 5.00, P2 raises to 12.50, P3 folds, Hero raises to 55.00, P2 raises to 117.50, Hero calls 62.50, Flop: [7d 6d Td]. P2 holds the dealer disc (t=4422) = BTN with QQ; the hand's hero is the BB with JJ. Felt at the flop: Pot $237.50, BB $367.50 behind, BTN $371.50 behind; then check, BTN jams 371.50, BB calls 367.50 all-in. PT grid row: Pot (BB) 194 (final pot 972.50 / 5 = 194.5), Won -$485.00 = 117.50 + 367.50, All-In Equity 43.03.", "role": "geometry donor ONLY. Tyler built the tree to study THIS spot sixty seconds after reviewing it — \"then you select like a 1076 board and then we've got What was it? 367 and like 2..\" (s850-851, t=4488-4501) — typing 235/367 as his from-memory copy of the hand's 237.50/367.50. The quiz hero holds model cards (AA) in the 4-bettor's seat; nothing from this hand's holdings, its post-decision action or its result is displayed or narrated." }, "spr": 1.562, "ip_bet_sizes_chips": [ "70 = 29.8% pot (entered as 30% in the tree builder)", "235 = 100% pot", "367 = 156.2% pot, all-in" ], "ip_frequencies_pct": { "bet_29_8": 21.06, "bet_100": 0.28, "bet_156_2": 0.66, "check": 78.0 }, "ip_combos_at_node": 48.8, "ip_check_combos": 38.2, "ip_ev_chips": 115.88, "oop_root": "node r:0 — OOP CHECK 100.00% (68.0 combos), OOP EV 119.12 chips; IP EV 115.88 + OOP EV 119.12 = 235.00 (frames t=4584/t=4586)", "ip_range": "Tyler's saved blended 4-bet range vs the big blind, pasted into the IP box (t=4473-4487). Weighted, not uniform: AA/KK/AK at full weight, the nine offsuit broadways (AKo AQo AJo ATo KQo KJo KTo QJo QTo) plus assorted suited hands and pairs at fractional weight; 48.8 combos total at this node (strip readout t=4586: 0.3 + 0.1 + 10.2 + 38.2).", "oop_range": "a flat/calling range pasted into the OOP box: pairs and SUITED hands only, and exactly these 17 cells, all full-weight (green CHECK cells on the r:0 grid, frame t=4584; list corrected 2026-08-08 after the fidelity gate caught the earlier one): AA, JJ, TT, 99, 88, 77, 66, AQs, AJs, ATs, KQs, KJs, KTs, QJs, QTs, JTs, T9s. Card removal on Td7d6d: pairs 6+6+3+6+6+3+3 = 33, suited 4+4+3+4+4+3+4+3+3+3 = 35, total 68 = the panel's 68.0 combos EXACTLY — which pins every other cell at zero weight, not mid-repaint: AKs (Tyler on tape, s844: \"I'll take out the ace kings\"), KK, QQ, 98s, 87s, 76s and 55/44/33/22 are all blank. The offsuit triangle is empty — that is the load-bearing part.", "hero_combo": "A♠A♥ at r:0:c — pure CHECK (CHECK row highlighted in the six-combo panel); branch EVs CHECK 126.91 / BET-29.8% 126.57 / BET-100% 94.30 / BET-156.2% 90.93 chips. The other no-diamond combos A♠A♣ and A♥A♣ read identically; the three diamond combos (A♠A♦ A♥A♦ A♦A♣) show a partial bet bar at CHECK 249.08 / BET-29.8% 249.11 / BET-100% 234.86 / BET-156.2% 229.66. Six-combo panel, frame t=4586.", "preflop_line_note": "the preflop line on the felt (open 2.5 / 3-bet 11 / 4-bet 23.5 bb, pot 47.5, behind 74.3/73.5) is the SOURCE HAND's real line, read off the playback log at the posted 2.50/5.00 blinds — raises to 12.50 / 55.00 / 117.50, call 62.50, flop pot $237.50 (frames t=4418-4423). The tree node itself is postflop-only and carries no preflop action. The previous fixture's 2.5/11/24 \"SPR-matching reconstruction\" (pot 48.5, stacks 76) is retired: the real 4-bet was 23.5bb and the real pot 47.5bb.", "bb_rendering": { "pot_bb": 47.5, "stack_bb_hero_seat": 74.3, "stack_bb_bb_seat": 73.5, "spr_rendered": 1.547, "spr_node": 1.562, "basis": "the felt renders the SOURCE HAND's pixel-read numbers at its on-screen blinds line (2.50/5.00 → 5 units/bb): pot $237.50 = 47.5bb; behind $371.50 (4-bettor seat) / $367.50 (BB seat) = 74.3 / 73.5 bb; effective SPR 367.50/237.50 = 1.547. It is NOT a conversion of the tree's chips: the tree's 235/367 are Tyler's from-memory copy of 237.50/367.50 (drift -1.05% on the pot, -0.14% on stacks; tree SPR 1.562 vs felt 1.547). Solver outputs displayed on this card (the 100% check for A♠A♥, the 29.8%≈30% size) are computed on that rounded reproduction; the drift is disclosed here and in cosmetic_invention." }, "do_not_display": [ "the 13x13 AA cell EVs 160.90 / 165.19 / 188.37 / 188.53 — that is the class average over all six AA combos, not this hand's EV (hero's combo is 126.91 check / 126.57 bet).", "CHECK 78.00% as if it were aces' frequency — it is the whole IP range's check frequency at this node; A♠A♥ checks 100%.", "Tyler's spoken \"supposed to bet like 29% of the time\" (sentence 857) — he is reading the SIZE label BET 70 (29.8%); the range's total bet frequency here is 22.0% (0.66 + 0.28 + 21.06, strip readout t=4586).", "the population c-bet magnitudes he gives in the same window (sentences 875/877) — rule 7, gated from free content.", "the tree's raw 235/367 as felt quantities — they are unitless solver chips; the felt carries the source hand's bb figures instead." ] } }, "context": "SOLVER SPOT · 4-BET POT · SPR 1.5", "hero": { "pos": "BTN", "cards": [ "As", "Ah" ], "stack_bb": 74.3, "avatar": "lono_ghoul", "button": true }, "seats": [ { "pos": "SB", "avatar": "ghoul_82", "folded": true }, { "pos": "BB", "avatar": "ghoul_1218", "stack_bb": 73.5, "villain": true }, { "pos": "UTG", "avatar": "ghoul_4843", "folded": true }, { "pos": "HJ", "avatar": "ghoul_2344", "folded": true }, { "pos": "CO", "avatar": "ghoul_342", "folded": true } ], "streets": [ { "name": "preflop", "actions": [ { "pos": "UTG", "act": "fold" }, { "pos": "HJ", "act": "fold" }, { "pos": "CO", "act": "fold" }, { "pos": "hero", "act": "open", "to_bb": 2.5 }, { "pos": "SB", "act": "fold" }, { "pos": "BB", "act": "3bet", "to_bb": 11 }, { "pos": "hero", "act": "4bet", "to_bb": 23.5 }, { "pos": "BB", "act": "call" } ], "pot_bb": 47.5 }, { "name": "flop", "board": [ "Td", "7d", "6d" ], "actions": [ { "pos": "BB", "act": "check" } ] } ], "prompt": "A♠A♥ · NO DIAMOND · FLOP IS ALL DIAMONDS — BET OR CHECK?", "pot_bb": 47.5, "options": [ { "id": "bet", "label": "BET 30% POT" }, { "id": "check", "label": "CHECK" } ], "correct": "check", "option_feedback": { "bet": "Auto-c-betting an all-diamond flop while holding no diamond, into a flatting range made of pairs and suited hands — the texture that hits him and misses you.", "check": "Correct — you hold no diamond and his flatting range is suited-heavy. The solver checks A♠A♥ here 100% of the time." }, "verdict_text": "These monotone boards heavily favor the out-of-position player, because he plays all the suited cards and the in-position player doesn't. Aces without a diamond is actually just a check.", "principle": "4-bet ranges carry the offsuit broadways while the flatting range is pairs and suited hands only — so a monotone board flips the advantage to the caller.", "concept": "monotone-flips-range-advantage", "concepts_secondary": [], "topic": "4bet-pots", "difficulty": 5, "pct_provenance": { "100": { "role": "frequency", "referent": "IP strategy for the single combo A♠A♥ at node r:0:c — pure CHECK (CHECK row highlighted in the six-combo panel; CHECK 126.91 vs BET-29.8% 126.57 vs BET-100% 94.30 vs all-in 90.93 chips). NOT the AA class, which mixes: the 13x13 AA cell bets because the three diamond combos bet part of the time.", "source": "frame t=4586, six-combo AA panel at r:0:c; corroborated by SER sentence 866 / event e0847 (\"aces without a diamond is actually just a check in this scenario\")" }, "30": { "role": "sizing", "referent": "the flop IP bet size in this tree — entered as 30% of pot in the tree builder (\"Flop IP — Bet sizes: 30,100\", t=4512) and shown at the node as BET 70, i.e. 29.8% of the 235-chip tree pot, used by the IP range 21.06% of the time (10.2 of 48.8 combos, t=4586). On the felt's real-hand pot it is the same size: 30% of 47.5bb = 14.25bb. It is the only non-all-in, non-pot-sized branch the solver actually uses here, so it is the bet the CHECK is being measured against.", "source": "frames t=4512 (tree building parameters) and t=4586 (action tree + \"Frequency across runouts\" panel)" } }, "size_claims": { "30% pot": { "street": "flop", "actor": "hero", "pct_of_pot": 29.8, "displayed_in": "options[0].label \"BET 30% POT\"", "basis": "node branch BET 70 into the 235-chip tree pot (29.8%); configured as 30 in the tree builder's Flop IP bet sizes; equals 14.25bb into the felt's 47.5bb pot (30.0%)" } }, "cosmetic_invention": [ "hero combo A♠A♥ — the NO-DIAMOND part is load-bearing and true (Tyler's verdict is combo-specific and only the three no-diamond aces pure-check at this node); which of {A♠A♥, A♠A♣, A♥A♣} is cosmetic. Any A♦ combo would invert the answer to a ~50/50 mix.", "the 6-max ring: the source hand was dealt 3-HANDED at a 6-max fast-fold table, so the UTG/HJ/CO seats, their folds and every ghoul avatar are staging. The BTN-opens / SB-folds / BB-3-bets order, the 0.5bb dead small blind and every number on the felt are the hand's real skeleton, read off the replayer pixels.", "hero seat = BTN — SOURCED from the hand (the 4-bettor holds the dealer disc, frame t=4422); the tree itself names only \"IP\" (\"a four-bet range for the position player\", sentence 845), and the OOP seat's BB label is sourced from sentence 846 (\"against big blind\").", "disclosed drift, not invention: the felt shows the source hand's numbers (pot 47.5bb, behind 74.3/73.5, sizings 2.5/11/23.5 at the posted 2.50/5.00 blinds), while the solver outputs on this card are computed on Tyler's from-memory reproduction of that geometry (tree 235/367 vs hand 237.50/367.50, ~1% drift; SPR 1.562 vs 1.547). See source.solver_node.bb_rendering." ], "decision": { "pot_settled_bb": 47.5, "bets": {} } }