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FINAL TOTAL RESOLUTION [RES117] · 6-CARD PROOF

Player 2 + 9 (9) vs. Banker 1 (Draws 10 (0)): 6-Card Resolution #117

In walkthrough RES117, Player opens with 10+2 (2) and draws fifth-card 9 (9) for a modulo-10 total of 1, while Banker opens with 7+4 (1) and draws sixth-card 10 (0) for 1 (6-card T outcome).

RES117 Player Path
P:2->1
RES117 Banker Path
B:1->1
RES117 Deal Length
6 Cards
RES117 Showdown
T (1v1)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P B B P B P B B P P P B B B B P P
Big Eye Boy = = = = ≠ = = ≠ ≠ = ≠ ≠ = = ≠ ≠ =
Small Road = = ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = = ≠ =

Scoreboard sequence paired with 6-card resolution RES117 (P2+9->1 vs B1->1).

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

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

RES117 Four-Card Opening Deal
Player 10+2=2 vs Banker 7+4=1

Verified non-natural start via handTotal([10,2])=2 and handTotal([7,4])=1.

RES117 Fifth-Card Modulo Proof
(2 + 9) mod 10 = 1 via 9

Player draws fifth-card 9 (value 9), transforming two-card 2 into three-card 1.

RES117 Banker Tableau Lookup
BANKER_TABLEAU[1][9] = true

Banker 1 draws sixth-card 10 (0) so (1+0) mod 10 = 1.

RES117 Card Count & Winner
6 Cards -> T (1 vs 1)

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

RES117 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 · RES117

Step-by-Step Card Arithmetic for RES117: P(10+2)+9 vs B(7+4)

Under audit [RES117], Player opens on two-card 2 (10+2) opposite Banker 1 (7+4), triggering a mandatory fifth-card pull of 9 (value 9) that settles via mod-10 arithmetic from 11 into 1.

[RES117-B] Acting on 9=9 inside [RES117], Banker 1 follows 1-point automatic draw row and pulls 10 (0) for 1+0=1 -> 1.

Complete 6-Card Resolution Trace for RES117
RES117 StageRES117 CardsRES117 Modulo MathRES117 Status
[RES117:Init]P(10+2)=2 vs B(7+4)=1playerShouldDraw(2)=true4-Card Deal
[RES117:5th]Player +9 (9)(2+9) mod 10 = 15th Card Sideways
[RES117:6th]Banker +10 (0)(1+0) mod 10 = 16-Card Final
[RES117:Settle]P=1 vs B=1Winner: TBig Road +T
  • [RES117-1] Confirm [RES117] opening P=2 (10+2) and B=1 (7+4) lack Natural 8/9.
  • [RES117-2] Add [RES117] fifth-card 9 (9) to P=2 for (2+9) mod 10 = 1.
  • [RES117-3] Run [RES117] BANKER_TABLEAU[1][9]=true to settle 1 vs 1 (T).
SETTLEMENT & SCOREBOARD · RES117

Showdown Settlement & Scoreboard Logging for RES117 (1 vs 1)

[RES117-C9] Comparing [RES117] final totals (6c), Player 1 vs Banker 1 awards [RES117] to Tie (T), which pushes main [RES117] Player/Banker wagers while settling [RES117] Tie bets at 8:1 or 9:1 and appends T to BBPPBBPBPB.

[RES117-D8] Side-bet & road check for [RES117] (P2+9->1 vs B1->1, 6c): [RES117] leaves [RES117] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=1) and leaves [RES117] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES117] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES117, Banker 1 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[1][9] = true.
MythBecause RES117 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

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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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