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FINAL TOTAL RESOLUTION [RES235] · 6-CARD PROOF

Player 0 + 9 (9) vs. Banker 3 (Draws 4 (4)): 6-Card Resolution #235

In walkthrough RES235, Player opens with 10+K (0) and draws fifth-card 9 (9) for a modulo-10 total of 9, while Banker opens with 9+4 (3) and draws sixth-card 4 (4) for 7 (6-card P outcome).

RES235 Player Path
P:0->9
RES235 Banker Path
B:3->7
RES235 Deal Length
6 Cards
RES235 Showdown
P (9v7)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES235 (P0+9->9 vs B3->7).

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

RES235 Four-Card Opening Deal
Player 10+K=0 vs Banker 9+4=3

Verified non-natural start via handTotal([10,K])=0 and handTotal([9,4])=3.

RES235 Fifth-Card Modulo Proof
(0 + 9) mod 10 = 9 via 9

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

RES235 Banker Tableau Lookup
BANKER_TABLEAU[3][9] = true

Banker 3 draws sixth-card 4 (4) so (3+4) mod 10 = 7.

RES235 Card Count & Winner
6 Cards -> P (9 vs 7)

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

RES235 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 · RES235

Step-by-Step Card Arithmetic for RES235: P(10+K)+9 vs B(9+4)

Shoe deal [RES235] places 10+K (0) on Player and 9+4 (3) on Banker; because 0 is below 6, Player draws 9 (9) and 9 truncates the decimal tens place to 9.

[RES235-B] Under 3-point single-shade row (0..7, 9) for [RES235], exposed 9 (9) obligates Banker 3 to draw 4 (4), converting 3+4=7 into 7.

Complete 6-Card Resolution Trace for RES235
RES235 StageRES235 CardsRES235 Modulo MathRES235 Status
[RES235:Init]P(10+K)=0 vs B(9+4)=3playerShouldDraw(0)=true4-Card Deal
[RES235:5th]Player +9 (9)(0+9) mod 10 = 95th Card Sideways
[RES235:6th]Banker +4 (4)(3+4) mod 10 = 76-Card Final
[RES235:Settle]P=9 vs B=7Winner: PBig Road +P
  • [RES235-1] Confirm [RES235] opening P=0 (10+K) and B=3 (9+4) lack Natural 8/9.
  • [RES235-2] Add [RES235] fifth-card 9 (9) to P=0 for (0+9) mod 10 = 9.
  • [RES235-3] Run [RES235] BANKER_TABLEAU[3][9]=true to settle 9 vs 7 (P).
SETTLEMENT & SCOREBOARD · RES235

Showdown Settlement & Scoreboard Logging for RES235 (9 vs 7)

[RES235-C5] Comparing [RES235] final totals (6c), Player 9 vs Banker 7 awards [RES235] to Player (P), which pays 1:1 even money on [RES235] Player boxes with zero commission deducted and appends P to BBPPBPPPBB.

[RES235-D4] Side-bet & road check for [RES235] (P0+9->9 vs B3->7, 6c): [RES235] leaves [RES235] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=7) and leaves [RES235] Panda 8 inactive (needs winning 3c Player 8, got P=9); on [RES235] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES235, Banker 3 evaluates Player's three-card total (9) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[3][9] = true.
MythBecause RES235 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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