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FINAL TOTAL RESOLUTION [RES071] · 6-CARD PROOF

Player 4 + A (1) vs. Banker 1 (Draws 6 (6)): 6-Card Resolution #71

In walkthrough RES071, Player opens with 2+2 (4) and draws fifth-card A (1) for a modulo-10 total of 5, while Banker opens with 7+4 (1) and draws sixth-card 6 (6) for 7 (6-card B outcome).

RES071 Player Path
P:4->5
RES071 Banker Path
B:1->7
RES071 Deal Length
6 Cards
RES071 Showdown
B (5v7)
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 P P P B B B B P P B P B B
Big Eye Boy = = ≠ = = ≠ = ≠ = = ≠ ≠ = ≠ ≠ = ≠
Small Road ≠ ≠ = ≠ = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ =

Scoreboard sequence paired with 6-card resolution RES071 (P4+1->5 vs B1->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

RES071 Four-Card Opening Deal
Player 2+2=4 vs Banker 7+4=1

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

RES071 Fifth-Card Modulo Proof
(4 + 1) mod 10 = 5 via A

Player draws fifth-card A (value 1), transforming two-card 4 into three-card 5.

RES071 Banker Tableau Lookup
BANKER_TABLEAU[1][1] = true

Banker 1 draws sixth-card 6 (6) so (1+6) mod 10 = 7.

RES071 Card Count & Winner
6 Cards -> B (5 vs 7)

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

RES071 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 · RES071

Step-by-Step Card Arithmetic for RES071: P(2+2)+A vs B(7+4)

[RES071] Walkthrough #71 begins with Player holding 2+2 (4) against Banker 7+4 (1); since neither side holds 8 or 9, Player draws fifth-card A (1) so 4+1=5 applies base-10 modular addition to 5.

[RES071-B] Six-card branch [RES071] activates as A (1) hits Banker 1's 1-point automatic draw row; drawing 6 (6) sends 1+6=7 to 7.

Complete 6-Card Resolution Trace for RES071
RES071 StageRES071 CardsRES071 Modulo MathRES071 Status
[RES071:Init]P(2+2)=4 vs B(7+4)=1playerShouldDraw(4)=true4-Card Deal
[RES071:5th]Player +A (1)(4+1) mod 10 = 55th Card Sideways
[RES071:6th]Banker +6 (6)(1+6) mod 10 = 76-Card Final
[RES071:Settle]P=5 vs B=7Winner: BBig Road +B
  • [RES071-1] Confirm [RES071] opening P=4 (2+2) and B=1 (7+4) lack Natural 8/9.
  • [RES071-2] Add [RES071] fifth-card A (1) to P=4 for (4+1) mod 10 = 5.
  • [RES071-3] Run [RES071] BANKER_TABLEAU[1][1]=true to settle 5 vs 7 (B).
SETTLEMENT & SCOREBOARD · RES071

Showdown Settlement & Scoreboard Logging for RES071 (5 vs 7)

[RES071-C10] Comparing [RES071] final totals (6c), Player 5 vs Banker 7 awards [RES071] to Banker (B), which pays 0.95:1 on 5%-commission [RES071] layouts (or 0.5:1 on 6 at No-Commission [RES071] tables) and appends B to BBPPBPBPPP.

[RES071-D10] Side-bet & road check for [RES071] (P4+1->5 vs B1->7, 6c): [RES071] triggers [RES071] Dragon 7 (winning 3-card Banker 7, 40:1) and leaves [RES071] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES071] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES071, Banker 1 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[1][1] = true.
MythBecause RES071 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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