Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Resolution #83
FINAL TOTAL RESOLUTION [RES083] · 6-CARD PROOF

Player 4 + 3 (3) vs. Banker 1 (Draws 4 (4)): 6-Card Resolution #83

In walkthrough RES083, Player opens with 2+2 (4) and draws fifth-card 3 (3) for a modulo-10 total of 7, while Banker opens with 7+4 (1) and draws sixth-card 4 (4) for 5 (6-card P outcome).

RES083 Player Path
P:4->7
RES083 Banker Path
B:1->5
RES083 Deal Length
6 Cards
RES083 Showdown
P (7v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES083 (P4+3->7 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

RES083 Four-Card Opening Deal
Player 2+2=4 vs Banker 7+4=1

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

RES083 Fifth-Card Modulo Proof
(4 + 3) mod 10 = 7 via 3

Player draws fifth-card 3 (value 3), transforming two-card 4 into three-card 7.

RES083 Banker Tableau Lookup
BANKER_TABLEAU[1][3] = true

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

RES083 Card Count & Winner
6 Cards -> P (7 vs 5)

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

RES083 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 · RES083

Step-by-Step Card Arithmetic for RES083: P(2+2)+3 vs B(7+4)

Hand record [RES083] tracks Player 4 (2+2) facing Banker 1 (7+4); with zero naturals on the felt, the fifth card 3 (worth 3) arrives and 7 calculates the mod-10 residue to 7.

[RES083-B] Six-card branch [RES083] activates as 3 (3) hits Banker 1's 1-point automatic draw row; drawing 4 (4) sends 1+4=5 to 5.

Complete 6-Card Resolution Trace for RES083
RES083 StageRES083 CardsRES083 Modulo MathRES083 Status
[RES083:Init]P(2+2)=4 vs B(7+4)=1playerShouldDraw(4)=true4-Card Deal
[RES083:5th]Player +3 (3)(4+3) mod 10 = 75th Card Sideways
[RES083:6th]Banker +4 (4)(1+4) mod 10 = 56-Card Final
[RES083:Settle]P=7 vs B=5Winner: PBig Road +P
  • [RES083-1] Confirm [RES083] opening P=4 (2+2) and B=1 (7+4) lack Natural 8/9.
  • [RES083-2] Add [RES083] fifth-card 3 (3) to P=4 for (4+3) mod 10 = 7.
  • [RES083-3] Run [RES083] BANKER_TABLEAU[1][3]=true to settle 7 vs 5 (P).
SETTLEMENT & SCOREBOARD · RES083

Showdown Settlement & Scoreboard Logging for RES083 (7 vs 5)

[RES083-C4] Comparing [RES083] final totals (6c), Player 7 vs Banker 5 awards [RES083] to Player (P), which pays 1:1 even money on [RES083] Player boxes with zero commission deducted and appends P to BBPPPBBPBB.

[RES083-D1] Side-bet & road check for [RES083] (P4+3->7 vs B1->5, 6c): [RES083] leaves [RES083] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=5) and leaves [RES083] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES083] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES083, Banker 1 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[1][3] = true.
MythBecause RES083 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