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FINAL TOTAL RESOLUTION [RES183] · 6-CARD PROOF

Player 2 + 10 (0) vs. Banker 3 (Draws A (1)): 6-Card Resolution #183

In walkthrough RES183, Player opens with 10+2 (2) and draws fifth-card 10 (0) for a modulo-10 total of 2, while Banker opens with 9+4 (3) and draws sixth-card A (1) for 4 (6-card B outcome).

RES183 Player Path
P:2->2
RES183 Banker Path
B:3->4
RES183 Deal Length
6 Cards
RES183 Showdown
B (2v4)
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 P P P B B B B P P B P B B
Big Eye Boy = = ≠ = = ≠ = ≠ = = ≠ ≠ = ≠ ≠ = ≠
Small Road ≠ ≠ = ≠ = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ =

Scoreboard sequence paired with 6-card resolution RES183 (P2+0->2 vs B3->4).

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

RES183 Four-Card Opening Deal
Player 10+2=2 vs Banker 9+4=3

Verified non-natural start via handTotal([10,2])=2 and handTotal([9,4])=3.

RES183 Fifth-Card Modulo Proof
(2 + 0) mod 10 = 2 via 10

Player draws fifth-card 10 (value 0), transforming two-card 2 into three-card 2.

RES183 Banker Tableau Lookup
BANKER_TABLEAU[3][0] = true

Banker 3 draws sixth-card A (1) so (3+1) mod 10 = 4.

RES183 Card Count & Winner
6 Cards -> B (2 vs 4)

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

RES183 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 · RES183

Step-by-Step Card Arithmetic for RES183: P(10+2)+10 vs B(9+4)

[RES183] Walkthrough #183 begins with Player holding 10+2 (2) against Banker 9+4 (3); since neither side holds 8 or 9, Player draws fifth-card 10 (0) so 2+0=2 applies base-10 modular addition to 2.

[RES183-B] Under 3-point single-shade row (0..7, 9) for [RES183], exposed 10 (0) obligates Banker 3 to draw A (1), converting 3+1=4 into 4.

Complete 6-Card Resolution Trace for RES183
RES183 StageRES183 CardsRES183 Modulo MathRES183 Status
[RES183:Init]P(10+2)=2 vs B(9+4)=3playerShouldDraw(2)=true4-Card Deal
[RES183:5th]Player +10 (0)(2+0) mod 10 = 25th Card Sideways
[RES183:6th]Banker +A (1)(3+1) mod 10 = 46-Card Final
[RES183:Settle]P=2 vs B=4Winner: BBig Road +B
  • [RES183-1] Confirm [RES183] opening P=2 (10+2) and B=3 (9+4) lack Natural 8/9.
  • [RES183-2] Add [RES183] fifth-card 10 (0) to P=2 for (2+0) mod 10 = 2.
  • [RES183-3] Run [RES183] BANKER_TABLEAU[3][0]=true to settle 2 vs 4 (B).
SETTLEMENT & SCOREBOARD · RES183

Showdown Settlement & Scoreboard Logging for RES183 (2 vs 4)

[RES183-C9] Comparing [RES183] final totals (6c), Player 2 vs Banker 4 awards [RES183] to Banker (B), which pays 0.95:1 on 5%-commission [RES183] layouts (or 0.5:1 on 6 at No-Commission [RES183] tables) and appends B to BBPPBPBPPP.

[RES183-D4] Side-bet & road check for [RES183] (P2+0->2 vs B3->4, 6c): [RES183] leaves [RES183] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=4) and leaves [RES183] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES183] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES183, Banker 3 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[3][0] = true.
MythBecause RES183 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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android