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FINAL TOTAL RESOLUTION [RES200] · 6-CARD PROOF

Player 1 + 3 (3) vs. Banker 3 (Draws 4 (4)): 6-Card Resolution #200

In walkthrough RES200, Player opens with 7+4 (1) and draws fifth-card 3 (3) for a modulo-10 total of 4, while Banker opens with 10+3 (3) and draws sixth-card 4 (4) for 7 (6-card B outcome).

RES200 Player Path
P:1->4
RES200 Banker Path
B:3->7
RES200 Deal Length
6 Cards
RES200 Showdown
B (4v7)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES200 (P1+3->4 vs B3->7).

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

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

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

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

RES200 Four-Card Opening Deal
Player 7+4=1 vs Banker 10+3=3

Verified non-natural start via handTotal([7,4])=1 and handTotal([10,3])=3.

RES200 Fifth-Card Modulo Proof
(1 + 3) mod 10 = 4 via 3

Player draws fifth-card 3 (value 3), transforming two-card 1 into three-card 4.

RES200 Banker Tableau Lookup
BANKER_TABLEAU[3][3] = true

Banker 3 draws sixth-card 4 (4) so (3+4) mod 10 = 7.

RES200 Card Count & Winner
6 Cards -> B (4 vs 7)

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

RES200 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 · RES200

Step-by-Step Card Arithmetic for RES200: P(7+4)+3 vs B(10+3)

Within resolution [RES200], Player's opening 7+4 totals 1 against Banker's 10+3 (3); Punto Banco rules require drawing 3 (3), and 1+3=4 extracts the terminal digit to 4.

[RES200-B] Six-card branch [RES200] activates as 3 (3) hits Banker 3's 3-point single-shade row (0..7, 9); drawing 4 (4) sends 3+4=7 to 7.

Complete 6-Card Resolution Trace for RES200
RES200 StageRES200 CardsRES200 Modulo MathRES200 Status
[RES200:Init]P(7+4)=1 vs B(10+3)=3playerShouldDraw(1)=true4-Card Deal
[RES200:5th]Player +3 (3)(1+3) mod 10 = 45th Card Sideways
[RES200:6th]Banker +4 (4)(3+4) mod 10 = 76-Card Final
[RES200:Settle]P=4 vs B=7Winner: BBig Road +B
  • [RES200-1] Confirm [RES200] opening P=1 (7+4) and B=3 (10+3) lack Natural 8/9.
  • [RES200-2] Add [RES200] fifth-card 3 (3) to P=1 for (1+3) mod 10 = 4.
  • [RES200-3] Run [RES200] BANKER_TABLEAU[3][3]=true to settle 4 vs 7 (B).
SETTLEMENT & SCOREBOARD · RES200

Showdown Settlement & Scoreboard Logging for RES200 (4 vs 7)

[RES200-C6] Comparing [RES200] final totals (6c), Player 4 vs Banker 7 awards [RES200] to Banker (B), which pays 0.95:1 on 5%-commission [RES200] layouts (or 0.5:1 on 6 at No-Commission [RES200] tables) and appends B to PPBBPBPBBB.

[RES200-D1] Side-bet & road check for [RES200] (P1+3->4 vs B3->7, 6c): [RES200] triggers [RES200] Dragon 7 (winning 3-card Banker 7, 40:1) and leaves [RES200] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES200] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES200, Banker 3 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[3][3] = true.
MythBecause RES200 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