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FINAL TOTAL RESOLUTION [RES186] · 6-CARD PROOF

Player 5 + 10 (0) vs. Banker 3 (Draws 3 (3)): 6-Card Resolution #186

In walkthrough RES186, Player opens with A+4 (5) and draws fifth-card 10 (0) for a modulo-10 total of 5, while Banker opens with 10+3 (3) and draws sixth-card 3 (3) for 6 (6-card B outcome).

RES186 Player Path
P:5->5
RES186 Banker Path
B:3->6
RES186 Deal Length
6 Cards
RES186 Showdown
B (5v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES186 (P5+0->5 vs B3->6).

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 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

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

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

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

RES186 Four-Card Opening Deal
Player A+4=5 vs Banker 10+3=3

Verified non-natural start via handTotal([A,4])=5 and handTotal([10,3])=3.

RES186 Fifth-Card Modulo Proof
(5 + 0) mod 10 = 5 via 10

Player draws fifth-card 10 (value 0), transforming two-card 5 into three-card 5.

RES186 Banker Tableau Lookup
BANKER_TABLEAU[3][0] = true

Banker 3 draws sixth-card 3 (3) so (3+3) mod 10 = 6.

RES186 Card Count & Winner
6 Cards -> B (5 vs 6)

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

RES186 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 · RES186

Step-by-Step Card Arithmetic for RES186: P(A+4)+10 vs B(10+3)

Within resolution [RES186], Player's opening A+4 totals 5 against Banker's 10+3 (3); Punto Banco rules require drawing 10 (0), and 5+0=5 extracts the terminal digit to 5.

[RES186-B] Evaluating bankerShouldDraw(3, 0)=true (3-point single-shade row (0..7, 9)) in [RES186], sixth-card 3 (3) advances Banker 3 via 3+3=6 to 6.

Complete 6-Card Resolution Trace for RES186
RES186 StageRES186 CardsRES186 Modulo MathRES186 Status
[RES186:Init]P(A+4)=5 vs B(10+3)=3playerShouldDraw(5)=true4-Card Deal
[RES186:5th]Player +10 (0)(5+0) mod 10 = 55th Card Sideways
[RES186:6th]Banker +3 (3)(3+3) mod 10 = 66-Card Final
[RES186:Settle]P=5 vs B=6Winner: BBig Road +B
  • [RES186-1] Confirm [RES186] opening P=5 (A+4) and B=3 (10+3) lack Natural 8/9.
  • [RES186-2] Add [RES186] fifth-card 10 (0) to P=5 for (5+0) mod 10 = 5.
  • [RES186-3] Run [RES186] BANKER_TABLEAU[3][0]=true to settle 5 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES186

Showdown Settlement & Scoreboard Logging for RES186 (5 vs 6)

[RES186-C2] Comparing [RES186] final totals (6c), Player 5 vs Banker 6 awards [RES186] to Banker (B), which pays 0.95:1 on 5%-commission [RES186] layouts (or 0.5:1 on 6 at No-Commission [RES186] tables) and appends B to PPBBBPPPPB.

[RES186-D5] Side-bet & road check for [RES186] (P5+0->5 vs B3->6, 6c): [RES186] leaves [RES186] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=6) and leaves [RES186] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES186] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES186, Banker 3 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[3][0] = true.
MythBecause RES186 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