{ "schema_version": "1.3", "rebuild": "v2", "provenance_class": "model_spot", "table_size": 6, "id": "nut-flush-paired-board-checkback", "format": "multi_option", "free": true, "updated_at": "2026-08-08T00:00:00Z", "source": { "session_id": "RiverBluffsTypesandValueHands", "verdict_audio": "quiz/audio/nut-flush-paired-board-checkback.m4a", "lesson_slug": null, "solver_node": { "tool": "GTO Wizard", "file": "Cash6m50zSimple_SimpleOOP — config panel reads \"Cash 100bb · 6max NL50 · Simplified GTO OOP · 3b: GTO\"", "node": "depth=100&preflop_actions=R2-F-R6.5-F-F-F-C&history_spot=14 — CO to act on the river after UTG checks. Branches printed at this node: Check | Bet 25 | Allin 63.2 (the fixture offers the two Tyler discusses; Bet 25 is used 0% by the sim).", "video_t": "2244-2280 s (node first on screen 2208 s; the villain-side view of the same solution, history_spot=15, is on screen 2213-2232 s)", "board": "ThTd6h3cJh", "pot_chips": 75.1, "stacks_chips": { "CO_hero": 63.2, "UTG": 63.2, "HJ": 100, "BTN": 100, "SB": 99.5, "BB": 99 }, "chips_per_bb": 1, "units_note": "The solution prints big blinds directly (\"75.1 BB\" in the overview bar), so chips_per_bb = 1 and no $↔bb conversion was performed. The NL50 stake in the config panel is recorded for provenance only and is never displayed.", "line": "UTG raise 2 · HJ fold · CO 3-bet 6.5 · BTN/SB/BB fold · UTG call | FLOP 14.5 T♥T♦6♥: UTG check · CO bet 6.75 · UTG call | TURN 28 3♣: UTG check · CO bet 23.55 · UTG call | RIVER 75.1 J♥: UTG check — CO to act, 63.2 behind each.", "hero_strategy": { "note": "CO whole-range river strategy at this node (Actions panel).", "allin_63.2": { "freq_pct": 40.8, "combos": 7.64 }, "bet_25": { "freq_pct": 0.0, "combos": 0 }, "check": { "freq_pct": 59.2, "combos": 11.09 } }, "hero_combo_ev": { "combo": "Ah5h", "unit": "bb", "allin_63.2": 55.49, "bet_25": 55.28, "check": 55.01, "note": "Hands panel at this node. The jam is the sim's preference for this exact combo by 0.48 bb. A♦5♦ prints -1.79 / -1.49 / 0 with a green (check) strategy bar; A♠5♠ carries no weight (no Hands-panel entry)." }, "grid_cell": { "cell": "A5s", "ev": 55.44, "note": "Strategy+EV grid: the A5s cell renders visually pure red (all-in) with 55.44 beneath it. 55.44 is the CELL aggregate across the A5s combos, not A♥5♥'s own EV (that is hero_combo_ev, 55.49 for the jam). The cell can look pure red even though A♦5♦ prefers check (-1.79 jam vs 0 check) because the check-preferring combos carry only trace weight: A♠5♠ has none at all, and the aggregate sitting just 0.05 bb under A♥5♥'s own jam EV bounds the non-A♥5♥ weight at roughly a thousandth of the cell." }, "villain_river_range": { "read_at": "history_spot=15 (UTG facing the 63.2 jam), video t=2220 s", "combos_total": 4.21, "call": { "freq_pct": 50.4, "combos": 2.12 }, "fold": { "freq_pct": 49.6, "combos": 2.09 }, "pot_shown_bb": 138.3, "pot_odds_pct": 31.4, "calling_cells": "Calls (solid green): TT 134.3 (quad tens), JJ 130.1 (jacks full), JTs 128.24 (tens full); AQs 81.87 — its weight is A♥Q♥, an ace-high heart flush BETTER than hero's (A-Q-J-T-6 over A-J-T-6-5), and the hero's own A♥ card-removes it; 76s 0.76 and 65s 0.39 are near-zero-EV slivers. 66 111.79, 33 108.86, 54s 80.46, T9s/T8s 46.57 print EVs with NO visible strategy bar (trace weight — sixes full is in the quiz text only as Tyler's practical read, not as a sim call). QQ/99/88/77 are EV-0 indifferent mixes." } } }, "context": "SOLVER SPOT · 6-MAX CASH · 100 BB DEEP · 3-BET POT", "hero": { "pos": "CO", "cards": [ "Ah", "5h" ], "stack_bb": 63.2, "avatar": "lono_ghoul" }, "seats": [ { "pos": "BTN", "avatar": "ghoul_940", "stack_bb": 100, "folded": true }, { "pos": "SB", "avatar": "ghoul_973", "stack_bb": 99.5, "folded": true }, { "pos": "BB", "avatar": "ghoul_2978", "stack_bb": 99, "folded": true }, { "pos": "UTG", "avatar": "ghoul_2135", "stack_bb": 63.2, "villain": true }, { "pos": "HJ", "avatar": "ghoul_309", "stack_bb": 100, "folded": true } ], "streets": [ { "name": "preflop", "actions": [ { "pos": "UTG", "act": "open", "to_bb": 2 }, { "pos": "HJ", "act": "fold" }, { "pos": "hero", "act": "3bet", "to_bb": 6.5 }, { "pos": "BTN", "act": "fold" }, { "pos": "SB", "act": "fold" }, { "pos": "BB", "act": "fold" }, { "pos": "UTG", "act": "call" } ], "pot_bb": 14.5 }, { "name": "flop", "board": [ "Th", "Td", "6h" ], "actions": [ { "pos": "UTG", "act": "check" }, { "pos": "hero", "act": "bet", "to_bb": 6.75 }, { "pos": "UTG", "act": "call" } ], "pot_bb": 28 }, { "name": "turn", "board": [ "Th", "Td", "6h", "3c" ], "actions": [ { "pos": "UTG", "act": "check" }, { "pos": "hero", "act": "bet", "to_bb": 23.55 }, { "pos": "UTG", "act": "call" } ], "pot_bb": 75.1 }, { "name": "river", "board": [ "Th", "Td", "6h", "3c", "Jh" ], "actions": [ { "pos": "UTG", "act": "check" } ] } ], "prompt": "A♥5♥ · NUT FLUSH ON A PAIRED BOARD · HE CHECKS THE RIVER · THE SIM JAMS — AGAINST A REAL OPPONENT, DO YOU?", "pot_bb": 75.1, "options": [ { "id": "jam", "label": "JAM 63.2 BB" }, { "id": "check", "label": "CHECK BACK" } ], "correct": "check", "option_feedback": { "jam": "The sim does jam — A♥5♥ prefers all-in to a check-back by about half a big blind, and the whole CO range jams 40.8% at this node. Look where that profit comes from: the sim's opponent check-raised tens, jacks and sixes on earlier streets, so barely four combos even reach this river, and the calls that pay the jam off are zero-EV indifference calls it makes only periodically — sevens with a diamond. A real opponent never makes that call, and what actually calls you — jacks full, tens full, quad tens, and in practice Tyler adds sixes full — has the nut flush beat.", "check": "Correct — count the combos that can call, not your rank. His whole river range at this node is about four combos. The only flush that calls with real weight is a BETTER one — A♥Q♥ makes A-Q-J-T-6 over your A-J-T-6-5 — and your own A♥ removes it from the deck. What's left calling with real weight is boats and quads: jacks full, tens full, quad tens (plus sixes full on Tyler's practical read). What pays the jam off in the sim is a periodic zero-EV call with sevens; a real opponent never makes it, so there is no value target left to charge." }, "verdict_text": "It's actually a check-back on this node. It'd be really rare to see sevens call. We need to be in the top six combos to value that river.", "principle": "Count the combos that can still call, not your rank. When his whole river range is four combos and every call with weight is a boat or quads, the nut flush has no value target — the sim's jam only profits from zero-EV pay-offs a real opponent never gives.", "pct_provenance": { "40.8": { "role": "frequency", "referent": "CO's WHOLE-RANGE river strategy frequency at this node (Cash6m50zSimple_SimpleOOP, depth 100, R2-F-R6.5-F-F-F-C, history_spot=14, after UTG checks the J♥ river): Allin 63.2 = 40.8% / 7.64 combos, Check = 59.2% / 11.09 combos, Bet 25 = 0%. It is a range frequency — NOT A♥5♥'s own action, not equity, not an EV.", "source": "solver Actions panel, session RiverBluffsTypesandValueHands frames t=2244 s and t=2250 s" } }, "size_claims": {}, "cosmetic_invention": [ "Ghoul avatar art on all six seats (hero lono_ghoul, ghoul_* elsewhere). Pure decoration: the solution has no player identities and no read is implied by any seat.", "The six-handed felt render itself — the source is a solver action bar plus a stack row, not a table. Seat ring order is the standard 6-max ring; positions, stacks, sizings and board all come off the node." ], "concept": "no-value-target-checkback", "concepts_secondary": [], "topic": "river-value", "difficulty": 5, "decision": { "pot_settled_bb": 75.1, "bets": {} } }