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FINAL TOTAL RESOLUTION [RES193] · 6-CARD PROOF

Player 0 + 2 (2) vs. Banker 3 (Draws A (1)): 6-Card Resolution #193

In walkthrough RES193, Player opens with 10+K (0) and draws fifth-card 2 (2) 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).

RES193 Player Path
P:0->2
RES193 Banker Path
B:3->4
RES193 Deal Length
6 Cards
RES193 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 B P P B P P P B B B P B B
Big Eye Boy = = ≠ = ≠ ≠ = = ≠ ≠ = ≠ = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ =
Cockroach Pig ≠ = = ≠ ≠ = = ≠ ≠ = ≠ ≠ = =

Scoreboard sequence paired with 6-card resolution RES193 (P0+2->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

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

RES193 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.

RES193 Fifth-Card Modulo Proof
(0 + 2) mod 10 = 2 via 2

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

RES193 Banker Tableau Lookup
BANKER_TABLEAU[3][2] = true

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

RES193 Card Count & Winner
6 Cards -> B (2 vs 4)

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

RES193 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 · RES193

Step-by-Step Card Arithmetic for RES193: P(10+K)+2 vs B(9+4)

Shoe deal [RES193] places 10+K (0) on Player and 9+4 (3) on Banker; because 0 is below 6, Player draws 2 (2) and 2 truncates the decimal tens place to 2.

[RES193-B] Because BANKER_TABLEAU[3][2]=true (3-point single-shade row (0..7, 9)) in [RES193], Banker 3 takes sixth-card A (1) and 3+1=4 settles at 4.

Complete 6-Card Resolution Trace for RES193
RES193 StageRES193 CardsRES193 Modulo MathRES193 Status
[RES193:Init]P(10+K)=0 vs B(9+4)=3playerShouldDraw(0)=true4-Card Deal
[RES193:5th]Player +2 (2)(0+2) mod 10 = 25th Card Sideways
[RES193:6th]Banker +A (1)(3+1) mod 10 = 46-Card Final
[RES193:Settle]P=2 vs B=4Winner: BBig Road +B
  • [RES193-1] Confirm [RES193] opening P=0 (10+K) and B=3 (9+4) lack Natural 8/9.
  • [RES193-2] Add [RES193] fifth-card 2 (2) to P=0 for (0+2) mod 10 = 2.
  • [RES193-3] Run [RES193] BANKER_TABLEAU[3][2]=true to settle 2 vs 4 (B).
SETTLEMENT & SCOREBOARD · RES193

Showdown Settlement & Scoreboard Logging for RES193 (2 vs 4)

[RES193-C4] Comparing [RES193] final totals (6c), Player 2 vs Banker 4 awards [RES193] to Banker (B), which pays 0.95:1 on 5%-commission [RES193] layouts (or 0.5:1 on 6 at No-Commission [RES193] tables) and appends B to BBPPBPBBPP.

[RES193-D3] Side-bet & road check for [RES193] (P0+2->2 vs B3->4, 6c): [RES193] leaves [RES193] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=4) and leaves [RES193] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES193] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES193, Banker 3 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[3][2] = true.
MythBecause RES193 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
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