Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Resolution #26
FINAL TOTAL RESOLUTION [RES026] · 6-CARD PROOF

Player 1 + 4 (4) vs. Banker 0 (Draws 10 (0)): 6-Card Resolution #26

In walkthrough RES026, Player opens with 7+4 (1) and draws fifth-card 4 (4) for a modulo-10 total of 5, while Banker opens with 6+4 (0) and draws sixth-card 10 (0) for 0 (6-card P outcome).

RES026 Player Path
P:1->5
RES026 Banker Path
B:0->0
RES026 Deal Length
6 Cards
RES026 Showdown
P (5v0)
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 RES026 (P1+4->5 vs B0->0).

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

RES026 Four-Card Opening Deal
Player 7+4=1 vs Banker 6+4=0

Verified non-natural start via handTotal([7,4])=1 and handTotal([6,4])=0.

RES026 Fifth-Card Modulo Proof
(1 + 4) mod 10 = 5 via 4

Player draws fifth-card 4 (value 4), transforming two-card 1 into three-card 5.

RES026 Banker Tableau Lookup
BANKER_TABLEAU[0][4] = true

Banker 0 draws sixth-card 10 (0) so (0+0) mod 10 = 0.

RES026 Card Count & Winner
6 Cards -> P (5 vs 0)

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

RES026 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 · RES026

Step-by-Step Card Arithmetic for RES026: P(7+4)+4 vs B(6+4)

Floor verification [RES026] inspects Player 7+4 (1) versus Banker 6+4 (0); once fifth-card 4 (4) is exposed sideways, 1+4=5 drops the tens digit to three-card 5.

[RES026-B] Acting on 4=4 inside [RES026], Banker 0 follows 0-point unconditional draw tier and pulls 10 (0) for 0+0=0 -> 0.

Complete 6-Card Resolution Trace for RES026
RES026 StageRES026 CardsRES026 Modulo MathRES026 Status
[RES026:Init]P(7+4)=1 vs B(6+4)=0playerShouldDraw(1)=true4-Card Deal
[RES026:5th]Player +4 (4)(1+4) mod 10 = 55th Card Sideways
[RES026:6th]Banker +10 (0)(0+0) mod 10 = 06-Card Final
[RES026:Settle]P=5 vs B=0Winner: PBig Road +P
  • [RES026-1] Confirm [RES026] opening P=1 (7+4) and B=0 (6+4) lack Natural 8/9.
  • [RES026-2] Add [RES026] fifth-card 4 (4) to P=1 for (1+4) mod 10 = 5.
  • [RES026-3] Run [RES026] BANKER_TABLEAU[0][4]=true to settle 5 vs 0 (P).
SETTLEMENT & SCOREBOARD · RES026

Showdown Settlement & Scoreboard Logging for RES026 (5 vs 0)

[RES026-C5] Comparing [RES026] final totals (6c), Player 5 vs Banker 0 awards [RES026] to Player (P), which pays 1:1 even money on [RES026] Player boxes with zero commission deducted and appends P to PPBBBPPPPB.

[RES026-D8] Side-bet & road check for [RES026] (P1+4->5 vs B0->0, 6c): [RES026] leaves [RES026] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=0) and leaves [RES026] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES026] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES026, Banker 0 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[0][4] = true.
MythBecause RES026 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

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