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FINAL TOTAL RESOLUTION [RES152] · 6-CARD PROOF

Player 1 + 5 (5) vs. Banker 2 (Draws A (1)): 6-Card Resolution #152

In walkthrough RES152, Player opens with 7+4 (1) and draws fifth-card 5 (5) for a modulo-10 total of 6, while Banker opens with 8+4 (2) and draws sixth-card A (1) for 3 (6-card P outcome).

RES152 Player Path
P:1->6
RES152 Banker Path
B:2->3
RES152 Deal Length
6 Cards
RES152 Showdown
P (6v3)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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Big Road P P B B P B P B B B P P P P B B P B P P
Big Eye Boy = = ≠ = = ≠ = ≠ = = ≠ ≠ = ≠ ≠ = ≠
Small Road ≠ ≠ = ≠ = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ =

Scoreboard sequence paired with 6-card resolution RES152 (P1+5->6 vs B2->3).

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

RES152 Four-Card Opening Deal
Player 7+4=1 vs Banker 8+4=2

Verified non-natural start via handTotal([7,4])=1 and handTotal([8,4])=2.

RES152 Fifth-Card Modulo Proof
(1 + 5) mod 10 = 6 via 5

Player draws fifth-card 5 (value 5), transforming two-card 1 into three-card 6.

RES152 Banker Tableau Lookup
BANKER_TABLEAU[2][5] = true

Banker 2 draws sixth-card A (1) so (2+1) mod 10 = 3.

RES152 Card Count & Winner
6 Cards -> P (6 vs 3)

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

RES152 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 · RES152

Step-by-Step Card Arithmetic for RES152: P(7+4)+5 vs B(8+4)

Floor verification [RES152] inspects Player 7+4 (1) versus Banker 8+4 (2); once fifth-card 5 (5) is exposed sideways, 1+5=6 drops the tens digit to three-card 6.

[RES152-B] Next in [RES152], Banker consults 2-point mandatory draw band: facing fifth-card 5 (5), Banker 2 draws A (1) so 2+1=3 -> 3.

Complete 6-Card Resolution Trace for RES152
RES152 StageRES152 CardsRES152 Modulo MathRES152 Status
[RES152:Init]P(7+4)=1 vs B(8+4)=2playerShouldDraw(1)=true4-Card Deal
[RES152:5th]Player +5 (5)(1+5) mod 10 = 65th Card Sideways
[RES152:6th]Banker +A (1)(2+1) mod 10 = 36-Card Final
[RES152:Settle]P=6 vs B=3Winner: PBig Road +P
  • [RES152-1] Confirm [RES152] opening P=1 (7+4) and B=2 (8+4) lack Natural 8/9.
  • [RES152-2] Add [RES152] fifth-card 5 (5) to P=1 for (1+5) mod 10 = 6.
  • [RES152-3] Run [RES152] BANKER_TABLEAU[2][5]=true to settle 6 vs 3 (P).
SETTLEMENT & SCOREBOARD · RES152

Showdown Settlement & Scoreboard Logging for RES152 (6 vs 3)

[RES152-C8] Comparing [RES152] final totals (6c), Player 6 vs Banker 3 awards [RES152] to Player (P), which pays 1:1 even money on [RES152] Player boxes with zero commission deducted and appends P to PPBBPBPBBB.

[RES152-D11] Side-bet & road check for [RES152] (P1+5->6 vs B2->3, 6c): [RES152] leaves [RES152] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=3) and leaves [RES152] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES152] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES152, Banker 2 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 5 (value 5) via BANKER_TABLEAU[2][5] = true.
MythBecause RES152 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

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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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