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FINAL TOTAL RESOLUTION [RES236] · 6-CARD PROOF

Player 1 + 9 (9) vs. Banker 3 (Draws 8 (8)): 6-Card Resolution #236

In walkthrough RES236, Player opens with 7+4 (1) and draws fifth-card 9 (9) for a modulo-10 total of 0, while Banker opens with 10+3 (3) and draws sixth-card 8 (8) for 1 (6-card B outcome).

RES236 Player Path
P:1->0
RES236 Banker Path
B:3->1
RES236 Deal Length
6 Cards
RES236 Showdown
B (0v1)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES236 (P1+9->0 vs B3->1).

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 3. Column 2 stopped at Row 2, one row above → blue (≠).

  1. Column 4 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 stopped at Row 2, one row above → blue (≠).

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

RES236 Four-Card Opening Deal
Player 7+4=1 vs Banker 10+3=3

Verified non-natural start via handTotal([7,4])=1 and handTotal([10,3])=3.

RES236 Fifth-Card Modulo Proof
(1 + 9) mod 10 = 0 via 9

Player draws fifth-card 9 (value 9), transforming two-card 1 into three-card 0.

RES236 Banker Tableau Lookup
BANKER_TABLEAU[3][9] = true

Banker 3 draws sixth-card 8 (8) so (3+8) mod 10 = 1.

RES236 Card Count & Winner
6 Cards -> B (0 vs 1)

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

RES236 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 · RES236

Step-by-Step Card Arithmetic for RES236: P(7+4)+9 vs B(10+3)

Floor verification [RES236] inspects Player 7+4 (1) versus Banker 10+3 (3); once fifth-card 9 (9) is exposed sideways, 1+9=10 drops the tens digit to three-card 0.

[RES236-B] Under 3-point single-shade row (0..7, 9) for [RES236], exposed 9 (9) obligates Banker 3 to draw 8 (8), converting 3+8=11 into 1.

Complete 6-Card Resolution Trace for RES236
RES236 StageRES236 CardsRES236 Modulo MathRES236 Status
[RES236:Init]P(7+4)=1 vs B(10+3)=3playerShouldDraw(1)=true4-Card Deal
[RES236:5th]Player +9 (9)(1+9) mod 10 = 05th Card Sideways
[RES236:6th]Banker +8 (8)(3+8) mod 10 = 16-Card Final
[RES236:Settle]P=0 vs B=1Winner: BBig Road +B
  • [RES236-1] Confirm [RES236] opening P=1 (7+4) and B=3 (10+3) lack Natural 8/9.
  • [RES236-2] Add [RES236] fifth-card 9 (9) to P=1 for (1+9) mod 10 = 0.
  • [RES236-3] Run [RES236] BANKER_TABLEAU[3][9]=true to settle 0 vs 1 (B).
SETTLEMENT & SCOREBOARD · RES236

Showdown Settlement & Scoreboard Logging for RES236 (0 vs 1)

[RES236-C10] Comparing [RES236] final totals (6c), Player 0 vs Banker 1 awards [RES236] to Banker (B), which pays 0.95:1 on 5%-commission [RES236] layouts (or 0.5:1 on 6 at No-Commission [RES236] tables) and appends B to PPBBPBBBPP.

[RES236-D0] Side-bet & road check for [RES236] (P1+9->0 vs B3->1, 6c): [RES236] leaves [RES236] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=1) and leaves [RES236] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES236] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES236, Banker 3 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[3][9] = true.
MythBecause RES236 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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