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FINAL TOTAL RESOLUTION [RES159] · 6-CARD PROOF

Player 2 + 6 (6) vs. Banker 2 (Draws 4 (4)): 6-Card Resolution #159

In walkthrough RES159, Player opens with 10+2 (2) and draws fifth-card 6 (6) for a modulo-10 total of 8, while Banker opens with 10+2 (2) and draws sixth-card 4 (4) for 6 (6-card P outcome).

RES159 Player Path
P:2->8
RES159 Banker Path
B:2->6
RES159 Deal Length
6 Cards
RES159 Showdown
P (8v6)
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 B B B P P P B B B B P
Big Eye Boy = = ≠ = ≠ ≠ ≠ ≠ = ≠ = = = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = = ≠ ≠
Cockroach Pig ≠ = = = ≠ = ≠ = ≠ ≠ ≠ = = ≠

Scoreboard sequence paired with 6-card resolution RES159 (P2+6->8 vs B2->6).

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

RES159 Four-Card Opening Deal
Player 10+2=2 vs Banker 10+2=2

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

RES159 Fifth-Card Modulo Proof
(2 + 6) mod 10 = 8 via 6

Player draws fifth-card 6 (value 6), transforming two-card 2 into three-card 8.

RES159 Banker Tableau Lookup
BANKER_TABLEAU[2][6] = true

Banker 2 draws sixth-card 4 (4) so (2+4) mod 10 = 6.

RES159 Card Count & Winner
6 Cards -> P (8 vs 6)

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

RES159 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not P vs B.

MODULO-10 ARITHMETIC · RES159

Step-by-Step Card Arithmetic for RES159: P(10+2)+6 vs B(10+2)

Under audit [RES159], Player opens on two-card 2 (10+2) opposite Banker 2 (10+2), triggering a mandatory fifth-card pull of 6 (value 6) that settles via mod-10 arithmetic from 8 into 8.

[RES159-B] Evaluating bankerShouldDraw(2, 6)=true (2-point mandatory draw band) in [RES159], sixth-card 4 (4) advances Banker 2 via 2+4=6 to 6.

Complete 6-Card Resolution Trace for RES159
RES159 StageRES159 CardsRES159 Modulo MathRES159 Status
[RES159:Init]P(10+2)=2 vs B(10+2)=2playerShouldDraw(2)=true4-Card Deal
[RES159:5th]Player +6 (6)(2+6) mod 10 = 85th Card Sideways
[RES159:6th]Banker +4 (4)(2+4) mod 10 = 66-Card Final
[RES159:Settle]P=8 vs B=6Winner: PBig Road +P
  • [RES159-1] Confirm [RES159] opening P=2 (10+2) and B=2 (10+2) lack Natural 8/9.
  • [RES159-2] Add [RES159] fifth-card 6 (6) to P=2 for (2+6) mod 10 = 8.
  • [RES159-3] Run [RES159] BANKER_TABLEAU[2][6]=true to settle 8 vs 6 (P).
SETTLEMENT & SCOREBOARD · RES159

Showdown Settlement & Scoreboard Logging for RES159 (8 vs 6)

[RES159-C10] Comparing [RES159] final totals (6c), Player 8 vs Banker 6 awards [RES159] to Player (P), which pays 1:1 even money on [RES159] Player boxes with zero commission deducted and appends P to BBPPBPBBPB.

[RES159-D9] Side-bet & road check for [RES159] (P2+6->8 vs B2->6, 6c): [RES159] leaves [RES159] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=6) and triggers [RES159] Panda 8 (winning 3-card Player 8, 25:1); on [RES159] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES159, Banker 2 evaluates Player's three-card total (8) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[2][6] = true.
MythBecause RES159 resolves as P, the next derived-road mark must match P'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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