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FINAL TOTAL RESOLUTION [RES061] · 6-CARD PROOF

Player 0 + 10 (0) vs. Banker 1 (Draws A (1)): 6-Card Resolution #61

In walkthrough RES061, Player opens with 10+K (0) and draws fifth-card 10 (0) for a modulo-10 total of 0, while Banker opens with 7+4 (1) and draws sixth-card A (1) for 2 (6-card B outcome).

RES061 Player Path
P:0->0
RES061 Banker Path
B:1->2
RES061 Deal Length
6 Cards
RES061 Showdown
B (0v2)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES061 (P0+0->0 vs B1->2).

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Small Road Mark #3

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Cockroach Pig Mark #3

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

RES061 Four-Card Opening Deal
Player 10+K=0 vs Banker 7+4=1

Verified non-natural start via handTotal([10,K])=0 and handTotal([7,4])=1.

RES061 Fifth-Card Modulo Proof
(0 + 0) mod 10 = 0 via 10

Player draws fifth-card 10 (value 0), transforming two-card 0 into three-card 0.

RES061 Banker Tableau Lookup
BANKER_TABLEAU[1][0] = true

Banker 1 draws sixth-card A (1) so (1+1) mod 10 = 2.

RES061 Card Count & Winner
6 Cards -> B (0 vs 2)

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

RES061 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 · RES061

Step-by-Step Card Arithmetic for RES061: P(10+K)+10 vs B(7+4)

Under audit [RES061], Player opens on two-card 0 (10+K) opposite Banker 1 (7+4), triggering a mandatory fifth-card pull of 10 (value 0) that settles via mod-10 arithmetic from 0 into 0.

[RES061-B] Next in [RES061], Banker consults 1-point automatic draw row: facing fifth-card 10 (0), Banker 1 draws A (1) so 1+1=2 -> 2.

Complete 6-Card Resolution Trace for RES061
RES061 StageRES061 CardsRES061 Modulo MathRES061 Status
[RES061:Init]P(10+K)=0 vs B(7+4)=1playerShouldDraw(0)=true4-Card Deal
[RES061:5th]Player +10 (0)(0+0) mod 10 = 05th Card Sideways
[RES061:6th]Banker +A (1)(1+1) mod 10 = 26-Card Final
[RES061:Settle]P=0 vs B=2Winner: BBig Road +B
  • [RES061-1] Confirm [RES061] opening P=0 (10+K) and B=1 (7+4) lack Natural 8/9.
  • [RES061-2] Add [RES061] fifth-card 10 (0) to P=0 for (0+0) mod 10 = 0.
  • [RES061-3] Run [RES061] BANKER_TABLEAU[1][0]=true to settle 0 vs 2 (B).
SETTLEMENT & SCOREBOARD · RES061

Showdown Settlement & Scoreboard Logging for RES061 (0 vs 2)

[RES061-C4] Comparing [RES061] final totals (6c), Player 0 vs Banker 2 awards [RES061] to Banker (B), which pays 0.95:1 on 5%-commission [RES061] layouts (or 0.5:1 on 6 at No-Commission [RES061] tables) and appends B to BBPPBBPPPB.

[RES061-D11] Side-bet & road check for [RES061] (P0+0->0 vs B1->2, 6c): [RES061] leaves [RES061] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=2) and leaves [RES061] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES061] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES061, Banker 1 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[1][0] = true.
MythBecause RES061 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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