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FINAL TOTAL RESOLUTION [RES131] · 6-CARD PROOF

Player 4 + A (1) vs. Banker 2 (Draws 7 (7)): 6-Card Resolution #131

In walkthrough RES131, Player opens with 2+2 (4) and draws fifth-card A (1) for a modulo-10 total of 5, while Banker opens with 10+2 (2) and draws sixth-card 7 (7) for 9 (6-card B outcome).

RES131 Player Path
P:4->5
RES131 Banker Path
B:2->9
RES131 Deal Length
6 Cards
RES131 Showdown
B (5v9)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P P B B P B B P P B P P P B B B B
Big Eye Boy = ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ = = ≠
Small Road = = ≠ = = ≠ ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig ≠ = ≠ = = = = ≠ ≠ = ≠ =

Scoreboard sequence paired with 6-card resolution RES131 (P4+1->5 vs B2->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 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

Column 4 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠).

  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 3 beads. Different depth → blue (≠).

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

RES131 Four-Card Opening Deal
Player 2+2=4 vs Banker 10+2=2

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

RES131 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.

RES131 Banker Tableau Lookup
BANKER_TABLEAU[2][1] = true

Banker 2 draws sixth-card 7 (7) so (2+7) mod 10 = 9.

RES131 Card Count & Winner
6 Cards -> B (5 vs 9)

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

RES131 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 · RES131

Step-by-Step Card Arithmetic for RES131: P(2+2)+A vs B(10+2)

Under audit [RES131], Player opens on two-card 4 (2+2) opposite Banker 2 (10+2), triggering a mandatory fifth-card pull of A (value 1) that settles via mod-10 arithmetic from 5 into 5.

[RES131-B] Under 2-point mandatory draw band for [RES131], exposed A (1) obligates Banker 2 to draw 7 (7), converting 2+7=9 into 9.

Complete 6-Card Resolution Trace for RES131
RES131 StageRES131 CardsRES131 Modulo MathRES131 Status
[RES131:Init]P(2+2)=4 vs B(10+2)=2playerShouldDraw(4)=true4-Card Deal
[RES131:5th]Player +A (1)(4+1) mod 10 = 55th Card Sideways
[RES131:6th]Banker +7 (7)(2+7) mod 10 = 96-Card Final
[RES131:Settle]P=5 vs B=9Winner: BBig Road +B
  • [RES131-1] Confirm [RES131] opening P=4 (2+2) and B=2 (10+2) lack Natural 8/9.
  • [RES131-2] Add [RES131] fifth-card A (1) to P=4 for (4+1) mod 10 = 5.
  • [RES131-3] Run [RES131] BANKER_TABLEAU[2][1]=true to settle 5 vs 9 (B).
SETTLEMENT & SCOREBOARD · RES131

Showdown Settlement & Scoreboard Logging for RES131 (5 vs 9)

[RES131-C2] Comparing [RES131] final totals (6c), Player 5 vs Banker 9 awards [RES131] to Banker (B), which pays 0.95:1 on 5%-commission [RES131] layouts (or 0.5:1 on 6 at No-Commission [RES131] tables) and appends B to BBPPPBBPBB.

[RES131-D4] Side-bet & road check for [RES131] (P4+1->5 vs B2->9, 6c): [RES131] leaves [RES131] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=9) and leaves [RES131] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES131] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES131, Banker 2 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[2][1] = true.
MythBecause RES131 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

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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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