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FINAL TOTAL RESOLUTION [RES081] · 6-CARD PROOF

Player 2 + 3 (3) vs. Banker 1 (Draws 6 (6)): 6-Card Resolution #81

In walkthrough RES081, Player opens with 10+2 (2) and draws fifth-card 3 (3) 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).

RES081 Player Path
P:2->5
RES081 Banker Path
B:1->7
RES081 Deal Length
6 Cards
RES081 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 B P P B P P P B B B P B B
Big Eye Boy = = ≠ = ≠ ≠ = = ≠ ≠ = ≠ = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ =
Cockroach Pig ≠ = = ≠ ≠ = = ≠ ≠ = ≠ ≠ = =

Scoreboard sequence paired with 6-card resolution RES081 (P2+3->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

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

RES081 Four-Card Opening Deal
Player 10+2=2 vs Banker 7+4=1

Verified non-natural start via handTotal([10,2])=2 and handTotal([7,4])=1.

RES081 Fifth-Card Modulo Proof
(2 + 3) mod 10 = 5 via 3

Player draws fifth-card 3 (value 3), transforming two-card 2 into three-card 5.

RES081 Banker Tableau Lookup
BANKER_TABLEAU[1][3] = true

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

RES081 Card Count & Winner
6 Cards -> B (5 vs 7)

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

RES081 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 · RES081

Step-by-Step Card Arithmetic for RES081: P(10+2)+3 vs B(7+4)

Shoe deal [RES081] places 10+2 (2) on Player and 7+4 (1) on Banker; because 2 is below 6, Player draws 3 (3) and 5 truncates the decimal tens place to 5.

[RES081-B] Evaluating bankerShouldDraw(1, 3)=true (1-point automatic draw row) in [RES081], sixth-card 6 (6) advances Banker 1 via 1+6=7 to 7.

Complete 6-Card Resolution Trace for RES081
RES081 StageRES081 CardsRES081 Modulo MathRES081 Status
[RES081:Init]P(10+2)=2 vs B(7+4)=1playerShouldDraw(2)=true4-Card Deal
[RES081:5th]Player +3 (3)(2+3) mod 10 = 55th Card Sideways
[RES081:6th]Banker +6 (6)(1+6) mod 10 = 76-Card Final
[RES081:Settle]P=5 vs B=7Winner: BBig Road +B
  • [RES081-1] Confirm [RES081] opening P=2 (10+2) and B=1 (7+4) lack Natural 8/9.
  • [RES081-2] Add [RES081] fifth-card 3 (3) to P=2 for (2+3) mod 10 = 5.
  • [RES081-3] Run [RES081] BANKER_TABLEAU[1][3]=true to settle 5 vs 7 (B).
SETTLEMENT & SCOREBOARD · RES081

Showdown Settlement & Scoreboard Logging for RES081 (5 vs 7)

[RES081-C5] Comparing [RES081] final totals (6c), Player 5 vs Banker 7 awards [RES081] to Banker (B), which pays 0.95:1 on 5%-commission [RES081] layouts (or 0.5:1 on 6 at No-Commission [RES081] tables) and appends B to BBPPBPBBPP.

[RES081-D9] Side-bet & road check for [RES081] (P2+3->5 vs B1->7, 6c): [RES081] triggers [RES081] Dragon 7 (winning 3-card Banker 7, 40:1) and leaves [RES081] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES081] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES081, Banker 1 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[1][3] = true.
MythBecause RES081 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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