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FINAL TOTAL RESOLUTION [RES127] · 6-CARD PROOF

Player 0 + A (1) vs. Banker 2 (Draws A (1)): 6-Card Resolution #127

In walkthrough RES127, Player opens with 10+K (0) and draws fifth-card A (1) for a modulo-10 total of 1, while Banker opens with 10+2 (2) and draws sixth-card A (1) for 3 (6-card B outcome).

RES127 Player Path
P:0->1
RES127 Banker Path
B:2->3
RES127 Deal Length
6 Cards
RES127 Showdown
B (1v3)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES127 (P0+1->1 vs B2->3).

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

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

Small Road Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 3.
  2. Column 3 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

RES127 Four-Card Opening Deal
Player 10+K=0 vs Banker 10+2=2

Verified non-natural start via handTotal([10,K])=0 and handTotal([10,2])=2.

RES127 Fifth-Card Modulo Proof
(0 + 1) mod 10 = 1 via A

Player draws fifth-card A (value 1), transforming two-card 0 into three-card 1.

RES127 Banker Tableau Lookup
BANKER_TABLEAU[2][1] = true

Banker 2 draws sixth-card A (1) so (2+1) mod 10 = 3.

RES127 Card Count & Winner
6 Cards -> B (1 vs 3)

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

RES127 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

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

MODULO-10 ARITHMETIC · RES127

Step-by-Step Card Arithmetic for RES127: P(10+K)+A vs B(10+2)

[RES127] Walkthrough #127 begins with Player holding 10+K (0) against Banker 10+2 (2); since neither side holds 8 or 9, Player draws fifth-card A (1) so 0+1=1 applies base-10 modular addition to 1.

[RES127-B] Because BANKER_TABLEAU[2][1]=true (2-point mandatory draw band) in [RES127], Banker 2 takes sixth-card A (1) and 2+1=3 settles at 3.

Complete 6-Card Resolution Trace for RES127
RES127 StageRES127 CardsRES127 Modulo MathRES127 Status
[RES127:Init]P(10+K)=0 vs B(10+2)=2playerShouldDraw(0)=true4-Card Deal
[RES127:5th]Player +A (1)(0+1) mod 10 = 15th Card Sideways
[RES127:6th]Banker +A (1)(2+1) mod 10 = 36-Card Final
[RES127:Settle]P=1 vs B=3Winner: BBig Road +B
  • [RES127-1] Confirm [RES127] opening P=0 (10+K) and B=2 (10+2) lack Natural 8/9.
  • [RES127-2] Add [RES127] fifth-card A (1) to P=0 for (0+1) mod 10 = 1.
  • [RES127-3] Run [RES127] BANKER_TABLEAU[2][1]=true to settle 1 vs 3 (B).
SETTLEMENT & SCOREBOARD · RES127

Showdown Settlement & Scoreboard Logging for RES127 (1 vs 3)

[RES127-C4] Comparing [RES127] final totals (6c), Player 1 vs Banker 3 awards [RES127] to Banker (B), which pays 0.95:1 on 5%-commission [RES127] layouts (or 0.5:1 on 6 at No-Commission [RES127] tables) and appends B to BBPPBPBBPB.

[RES127-D7] Side-bet & road check for [RES127] (P0+1->1 vs B2->3, 6c): [RES127] leaves [RES127] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=3) and leaves [RES127] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES127] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES127, Banker 2 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[2][1] = true.
MythBecause RES127 resolves as B, the next derived-road mark must match B'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
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