Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Resolution #68
FINAL TOTAL RESOLUTION [RES068] · 6-CARD PROOF

Player 1 + A (1) vs. Banker 1 (Draws 4 (4)): 6-Card Resolution #68

In walkthrough RES068, Player opens with 7+4 (1) and draws fifth-card A (1) for a modulo-10 total of 2, while Banker opens with 10+A (1) and draws sixth-card 4 (4) for 5 (6-card B outcome).

RES068 Player Path
P:1->2
RES068 Banker Path
B:1->5
RES068 Deal Length
6 Cards
RES068 Showdown
B (2v5)
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 B P P B B P B B B P P P P
Big Eye Boy = ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ = = ≠
Small Road = = ≠ = = ≠ ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig ≠ = ≠ = = = = ≠ ≠ = ≠ =

Scoreboard sequence paired with 6-card resolution RES068 (P1+1->2 vs B1->5).

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

Column 4 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 5 has 2 beads. 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 2 beads. 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

RES068 Four-Card Opening Deal
Player 7+4=1 vs Banker 10+A=1

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

RES068 Fifth-Card Modulo Proof
(1 + 1) mod 10 = 2 via A

Player draws fifth-card A (value 1), transforming two-card 1 into three-card 2.

RES068 Banker Tableau Lookup
BANKER_TABLEAU[1][1] = true

Banker 1 draws sixth-card 4 (4) so (1+4) mod 10 = 5.

RES068 Card Count & Winner
6 Cards -> B (2 vs 5)

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

RES068 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 · RES068

Step-by-Step Card Arithmetic for RES068: P(7+4)+A vs B(10+A)

Floor verification [RES068] inspects Player 7+4 (1) versus Banker 10+A (1); once fifth-card A (1) is exposed sideways, 1+1=2 drops the tens digit to three-card 2.

[RES068-B] Evaluating bankerShouldDraw(1, 1)=true (1-point automatic draw row) in [RES068], sixth-card 4 (4) advances Banker 1 via 1+4=5 to 5.

Complete 6-Card Resolution Trace for RES068
RES068 StageRES068 CardsRES068 Modulo MathRES068 Status
[RES068:Init]P(7+4)=1 vs B(10+A)=1playerShouldDraw(1)=true4-Card Deal
[RES068:5th]Player +A (1)(1+1) mod 10 = 25th Card Sideways
[RES068:6th]Banker +4 (4)(1+4) mod 10 = 56-Card Final
[RES068:Settle]P=2 vs B=5Winner: BBig Road +B
  • [RES068-1] Confirm [RES068] opening P=1 (7+4) and B=1 (10+A) lack Natural 8/9.
  • [RES068-2] Add [RES068] fifth-card A (1) to P=1 for (1+1) mod 10 = 2.
  • [RES068-3] Run [RES068] BANKER_TABLEAU[1][1]=true to settle 2 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES068

Showdown Settlement & Scoreboard Logging for RES068 (2 vs 5)

[RES068-C6] Comparing [RES068] final totals (6c), Player 2 vs Banker 5 awards [RES068] to Banker (B), which pays 0.95:1 on 5%-commission [RES068] layouts (or 0.5:1 on 6 at No-Commission [RES068] tables) and appends B to PPBBBPPBPP.

[RES068-D9] Side-bet & road check for [RES068] (P1+1->2 vs B1->5, 6c): [RES068] leaves [RES068] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=5) and leaves [RES068] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES068] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES068, Banker 1 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[1][1] = true.
MythBecause RES068 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