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FINAL TOTAL RESOLUTION [RES397] · 6-CARD PROOF

Player 0 + 6 (6) vs. Banker 6 (Draws 10 (0)): 6-Card Resolution #397

In walkthrough RES397, Player opens with 10+K (0) and draws fifth-card 6 (6) for a modulo-10 total of 6, while Banker opens with 3+3 (6) and draws sixth-card 10 (0) for 6 (6-card T outcome).

RES397 Player Path
P:0->6
RES397 Banker Path
B:6->6
RES397 Deal Length
6 Cards
RES397 Showdown
T (6v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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Big Road B B P P B B P P P B B B B P P B P P P B
Big Eye Boy = = = = = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠
Small Road = = = ≠ ≠ = ≠ = ≠ = ≠ ≠ = ≠ ≠
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = = ≠

Scoreboard sequence paired with 6-card resolution RES397 (P0+6->6 vs B6->6).

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Big Eye Boy Mark #3

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Small Road Mark #3

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

RES397 Four-Card Opening Deal
Player 10+K=0 vs Banker 3+3=6

Verified non-natural start via handTotal([10,K])=0 and handTotal([3,3])=6.

RES397 Fifth-Card Modulo Proof
(0 + 6) mod 10 = 6 via 6

Player draws fifth-card 6 (value 6), transforming two-card 0 into three-card 6.

RES397 Banker Tableau Lookup
BANKER_TABLEAU[6][6] = true

Banker 6 draws sixth-card 10 (0) so (6+0) mod 10 = 6.

RES397 Card Count & Winner
6 Cards -> T (6 vs 6)

Computed directly from resolveHand() with zero discretionary dealer options.

RES397 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not T vs B.

MODULO-10 ARITHMETIC · RES397

Step-by-Step Card Arithmetic for RES397: P(10+K)+6 vs B(3+3)

Under audit [RES397], Player opens on two-card 0 (10+K) opposite Banker 6 (3+3), triggering a mandatory fifth-card pull of 6 (value 6) that settles via mod-10 arithmetic from 6 into 6.

[RES397-B] Triggered by 6 (6) in [RES397] (6-point two-value trigger (6..7)), Banker 6 receives 10 (0) and computes (6+0) mod 10 = 6.

Complete 6-Card Resolution Trace for RES397
RES397 StageRES397 CardsRES397 Modulo MathRES397 Status
[RES397:Init]P(10+K)=0 vs B(3+3)=6playerShouldDraw(0)=true4-Card Deal
[RES397:5th]Player +6 (6)(0+6) mod 10 = 65th Card Sideways
[RES397:6th]Banker +10 (0)(6+0) mod 10 = 66-Card Final
[RES397:Settle]P=6 vs B=6Winner: TBig Road +T
  • [RES397-1] Confirm [RES397] opening P=0 (10+K) and B=6 (3+3) lack Natural 8/9.
  • [RES397-2] Add [RES397] fifth-card 6 (6) to P=0 for (0+6) mod 10 = 6.
  • [RES397-3] Run [RES397] BANKER_TABLEAU[6][6]=true to settle 6 vs 6 (T).
SETTLEMENT & SCOREBOARD · RES397

Showdown Settlement & Scoreboard Logging for RES397 (6 vs 6)

[RES397-C1] Comparing [RES397] final totals (6c), Player 6 vs Banker 6 awards [RES397] to Tie (T), which pushes main [RES397] Player/Banker wagers while settling [RES397] Tie bets at 8:1 or 9:1 and appends T to BBPPBBPPPB.

[RES397-D6] Side-bet & road check for [RES397] (P0+6->6 vs B6->6, 6c): [RES397] leaves [RES397] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=6) and leaves [RES397] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES397] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES397, Banker 6 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[6][6] = true.
MythBecause RES397 resolves as T, the next derived-road mark must match T's colour.
TruthDerived roads record Red (=) when Big Road structure repeats and Blue (≠) when it breaks—never Banker or Player.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
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