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FINAL TOTAL RESOLUTION [RES237] · 6-CARD PROOF

Player 2 + 9 (9) vs. Banker 3 (Draws 2 (2)): 6-Card Resolution #237

In walkthrough RES237, Player opens with 10+2 (2) and draws fifth-card 9 (9) for a modulo-10 total of 1, while Banker opens with 9+4 (3) and draws sixth-card 2 (2) for 5 (6-card B outcome).

RES237 Player Path
P:2->1
RES237 Banker Path
B:3->5
RES237 Deal Length
6 Cards
RES237 Showdown
B (1v5)
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 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 RES237 (P2+9->1 vs B3->5).

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

RES237 Four-Card Opening Deal
Player 10+2=2 vs Banker 9+4=3

Verified non-natural start via handTotal([10,2])=2 and handTotal([9,4])=3.

RES237 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.

RES237 Banker Tableau Lookup
BANKER_TABLEAU[3][9] = true

Banker 3 draws sixth-card 2 (2) so (3+2) mod 10 = 5.

RES237 Card Count & Winner
6 Cards -> B (1 vs 5)

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

RES237 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 · RES237

Step-by-Step Card Arithmetic for RES237: P(10+2)+9 vs B(9+4)

Hand record [RES237] tracks Player 2 (10+2) facing Banker 3 (9+4); with zero naturals on the felt, the fifth card 9 (worth 9) arrives and 11 calculates the mod-10 residue to 1.

[RES237-B] Evaluating bankerShouldDraw(3, 9)=true (3-point single-shade row (0..7, 9)) in [RES237], sixth-card 2 (2) advances Banker 3 via 3+2=5 to 5.

Complete 6-Card Resolution Trace for RES237
RES237 StageRES237 CardsRES237 Modulo MathRES237 Status
[RES237:Init]P(10+2)=2 vs B(9+4)=3playerShouldDraw(2)=true4-Card Deal
[RES237:5th]Player +9 (9)(2+9) mod 10 = 15th Card Sideways
[RES237:6th]Banker +2 (2)(3+2) mod 10 = 56-Card Final
[RES237:Settle]P=1 vs B=5Winner: BBig Road +B
  • [RES237-1] Confirm [RES237] opening P=2 (10+2) and B=3 (9+4) lack Natural 8/9.
  • [RES237-2] Add [RES237] fifth-card 9 (9) to P=2 for (2+9) mod 10 = 1.
  • [RES237-3] Run [RES237] BANKER_TABLEAU[3][9]=true to settle 1 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES237

Showdown Settlement & Scoreboard Logging for RES237 (1 vs 5)

[RES237-C4] Comparing [RES237] final totals (6c), Player 1 vs Banker 5 awards [RES237] to Banker (B), which pays 0.95:1 on 5%-commission [RES237] layouts (or 0.5:1 on 6 at No-Commission [RES237] tables) and appends B to BBPPBBPPPB.

[RES237-D9] Side-bet & road check for [RES237] (P2+9->1 vs B3->5, 6c): [RES237] leaves [RES237] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=5) and leaves [RES237] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES237] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES237, Banker 3 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[3][9] = true.
MythBecause RES237 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
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android