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FINAL TOTAL RESOLUTION [RES223] · 6-CARD PROOF

Player 0 + 7 (7) vs. Banker 3 (Draws 6 (6)): 6-Card Resolution #223

In walkthrough RES223, Player opens with 10+K (0) and draws fifth-card 7 (7) for a modulo-10 total of 7, while Banker opens with 9+4 (3) and draws sixth-card 6 (6) for 9 (6-card B outcome).

RES223 Player Path
P:0->7
RES223 Banker Path
B:3->9
RES223 Deal Length
6 Cards
RES223 Showdown
B (7v9)
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 RES223 (P0+7->7 vs B3->9).

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

RES223 Four-Card Opening Deal
Player 10+K=0 vs Banker 9+4=3

Verified non-natural start via handTotal([10,K])=0 and handTotal([9,4])=3.

RES223 Fifth-Card Modulo Proof
(0 + 7) mod 10 = 7 via 7

Player draws fifth-card 7 (value 7), transforming two-card 0 into three-card 7.

RES223 Banker Tableau Lookup
BANKER_TABLEAU[3][7] = true

Banker 3 draws sixth-card 6 (6) so (3+6) mod 10 = 9.

RES223 Card Count & Winner
6 Cards -> B (7 vs 9)

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

RES223 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 · RES223

Step-by-Step Card Arithmetic for RES223: P(10+K)+7 vs B(9+4)

Hand record [RES223] tracks Player 0 (10+K) facing Banker 3 (9+4); with zero naturals on the felt, the fifth card 7 (worth 7) arrives and 7 calculates the mod-10 residue to 7.

[RES223-B] Under 3-point single-shade row (0..7, 9) for [RES223], exposed 7 (7) obligates Banker 3 to draw 6 (6), converting 3+6=9 into 9.

Complete 6-Card Resolution Trace for RES223
RES223 StageRES223 CardsRES223 Modulo MathRES223 Status
[RES223:Init]P(10+K)=0 vs B(9+4)=3playerShouldDraw(0)=true4-Card Deal
[RES223:5th]Player +7 (7)(0+7) mod 10 = 75th Card Sideways
[RES223:6th]Banker +6 (6)(3+6) mod 10 = 96-Card Final
[RES223:Settle]P=7 vs B=9Winner: BBig Road +B
  • [RES223-1] Confirm [RES223] opening P=0 (10+K) and B=3 (9+4) lack Natural 8/9.
  • [RES223-2] Add [RES223] fifth-card 7 (7) to P=0 for (0+7) mod 10 = 7.
  • [RES223-3] Run [RES223] BANKER_TABLEAU[3][7]=true to settle 7 vs 9 (B).
SETTLEMENT & SCOREBOARD · RES223

Showdown Settlement & Scoreboard Logging for RES223 (7 vs 9)

[RES223-C0] Comparing [RES223] final totals (6c), Player 7 vs Banker 9 awards [RES223] to Banker (B), which pays 0.95:1 on 5%-commission [RES223] layouts (or 0.5:1 on 6 at No-Commission [RES223] tables) and appends B to BBPPBPBBPB.

[RES223-D0] Side-bet & road check for [RES223] (P0+7->7 vs B3->9, 6c): [RES223] leaves [RES223] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=9) and leaves [RES223] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES223] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES223, Banker 3 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 7 (value 7) via BANKER_TABLEAU[3][7] = true.
MythBecause RES223 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
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