Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Resolution #307
FINAL TOTAL RESOLUTION [RES307] · 5-CARD PROOF

Player 0 + A (1) vs. Banker 5 (Stands at 5): 5-Card Resolution #307

In walkthrough RES307, Player opens with 10+K (0) and draws fifth-card A (1) for a modulo-10 total of 1, while Banker opens with A+4 (5) and stands pat at 5 (5-card B outcome).

RES307 Player Path
P:0->1
RES307 Banker Path
B:5->5
RES307 Deal Length
5 Cards
RES307 Showdown
B (1v5)
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 5-card resolution RES307 (P0+1->1 vs B5->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

RES307 Four-Card Opening Deal
Player 10+K=0 vs Banker A+4=5

Verified non-natural start via handTotal([10,K])=0 and handTotal([A,4])=5.

RES307 Fifth-Card Modulo Proof
(0 + 1) mod 10 = 1 via A

Player draws fifth-card A (value 1), transforming two-card 0 into three-card 1.

RES307 Banker Tableau Lookup
BANKER_TABLEAU[5][1] = false

Banker 5 stands pat at 5 without pulling sixth-card 4 (4).

RES307 Card Count & Winner
5 Cards -> B (1 vs 5)

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

RES307 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 · RES307

Step-by-Step Card Arithmetic for RES307: P(10+K)+A vs B(A+4)

Hand record [RES307] tracks Player 0 (10+K) facing Banker 5 (A+4); with zero naturals on the felt, the fifth card A (worth 1) arrives and 1 calculates the mod-10 residue to 1.

[RES307-B] Next in [RES307], Banker applies 5-point four-value window (4..7): vs A (1), Banker 5 stands at 5 in 5c (skipping 4=4 -> 9).

Complete 5-Card Resolution Trace for RES307
RES307 StageRES307 CardsRES307 Modulo MathRES307 Status
[RES307:Init]P(10+K)=0 vs B(A+4)=5playerShouldDraw(0)=true4-Card Deal
[RES307:5th]Player +A (1)(0+1) mod 10 = 15th Card Sideways
[RES307:6th]Banker Stands (skip 4=4)Locked at 55-Card Final
[RES307:Settle]P=1 vs B=5Winner: BBig Road +B
  • [RES307-1] Confirm [RES307] opening P=0 (10+K) and B=5 (A+4) lack Natural 8/9.
  • [RES307-2] Add [RES307] fifth-card A (1) to P=0 for (0+1) mod 10 = 1.
  • [RES307-3] Run [RES307] BANKER_TABLEAU[5][1]=false to settle 1 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES307

Showdown Settlement & Scoreboard Logging for RES307 (1 vs 5)

[RES307-C2] Comparing [RES307] final totals (5c), Player 1 vs Banker 5 awards [RES307] to Banker (B), which pays 0.95:1 on 5%-commission [RES307] layouts (or 0.5:1 on 6 at No-Commission [RES307] tables) and appends B to BBPPPBBPBB.

[RES307-D2] Side-bet & road check for [RES307] (P0+1->1 vs B5->5, 5c): [RES307] leaves [RES307] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES307] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES307] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES307, Banker 5 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[5][1] = false.
MythBecause RES307 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