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FINAL TOTAL RESOLUTION [RES111] · 6-CARD PROOF

Player 2 + 8 (8) vs. Banker 1 (Draws A (1)): 6-Card Resolution #111

In walkthrough RES111, Player opens with 10+2 (2) and draws fifth-card 8 (8) for a modulo-10 total of 0, while Banker opens with 7+4 (1) and draws sixth-card A (1) for 2 (6-card B outcome).

RES111 Player Path
P:2->0
RES111 Banker Path
B:1->2
RES111 Deal Length
6 Cards
RES111 Showdown
B (0v2)
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 B B B P P P B B B B P
Big Eye Boy = = ≠ = ≠ ≠ ≠ ≠ = ≠ = = = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = = ≠ ≠
Cockroach Pig ≠ = = = ≠ = ≠ = ≠ ≠ ≠ = = ≠

Scoreboard sequence paired with 6-card resolution RES111 (P2+8->0 vs B1->2).

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

RES111 Four-Card Opening Deal
Player 10+2=2 vs Banker 7+4=1

Verified non-natural start via handTotal([10,2])=2 and handTotal([7,4])=1.

RES111 Fifth-Card Modulo Proof
(2 + 8) mod 10 = 0 via 8

Player draws fifth-card 8 (value 8), transforming two-card 2 into three-card 0.

RES111 Banker Tableau Lookup
BANKER_TABLEAU[1][8] = true

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

RES111 Card Count & Winner
6 Cards -> B (0 vs 2)

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

RES111 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 · RES111

Step-by-Step Card Arithmetic for RES111: P(10+2)+8 vs B(7+4)

Hand record [RES111] tracks Player 2 (10+2) facing Banker 1 (7+4); with zero naturals on the felt, the fifth card 8 (worth 8) arrives and 10 calculates the mod-10 residue to 0.

[RES111-B] Triggered by 8 (8) in [RES111] (1-point automatic draw row), Banker 1 receives A (1) and computes (1+1) mod 10 = 2.

Complete 6-Card Resolution Trace for RES111
RES111 StageRES111 CardsRES111 Modulo MathRES111 Status
[RES111:Init]P(10+2)=2 vs B(7+4)=1playerShouldDraw(2)=true4-Card Deal
[RES111:5th]Player +8 (8)(2+8) mod 10 = 05th Card Sideways
[RES111:6th]Banker +A (1)(1+1) mod 10 = 26-Card Final
[RES111:Settle]P=0 vs B=2Winner: BBig Road +B
  • [RES111-1] Confirm [RES111] opening P=2 (10+2) and B=1 (7+4) lack Natural 8/9.
  • [RES111-2] Add [RES111] fifth-card 8 (8) to P=2 for (2+8) mod 10 = 0.
  • [RES111-3] Run [RES111] BANKER_TABLEAU[1][8]=true to settle 0 vs 2 (B).
SETTLEMENT & SCOREBOARD · RES111

Showdown Settlement & Scoreboard Logging for RES111 (0 vs 2)

[RES111-C1] Comparing [RES111] final totals (6c), Player 0 vs Banker 2 awards [RES111] to Banker (B), which pays 0.95:1 on 5%-commission [RES111] layouts (or 0.5:1 on 6 at No-Commission [RES111] tables) and appends B to BBPPBPBBPB.

[RES111-D6] Side-bet & road check for [RES111] (P2+8->0 vs B1->2, 6c): [RES111] leaves [RES111] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=2) and leaves [RES111] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES111] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES111, Banker 1 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 8 (value 8) via BANKER_TABLEAU[1][8] = true.
MythBecause RES111 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

Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • 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