Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rules Chart
  3. Banker Total 0 Rule
  4. Banker 0 vs Player 3rd Card 7
TABLEAU CELL [B0T7] · ENGINE VERIFIED

Banker 0 vs. Player Third Card 7 (B0T7): Why Banker Always Draws

In cell B0T7, a Banker holding two-card total 0 (6+4) faces a Player fifth card valued at 7 (7). Under BANKER_TABLEAU[0][7], the Banker DRAWS, resolving in 6 cards with a 27B / 27P / 6T split across the 60 (P0..P5 × 6th-card 0..9) branches.

Cell B0T7 Action
DRAW
B0T7 Card Count
6 Cards
B0T7 60-Branch B/P/T
27/27/6
Tableau Coordinates
B=0, P3=7
Engine-Verified Scoreboard · 34 Hands

Read the Board at Table Speed

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

Verified scoreboard paired with tableau cell B0T7 (Banker 0 vs Player 3rd card 7).

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

This bead is at Row 4. Column 1 stopped at Row 3, one row above → blue (≠).

  1. Column 2 goes down to Row 4, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 stopped at Row 3, one row above → blue (≠).

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.

Small Road Mark #3

Column 4 has 1 bead. Column 2 has 4 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 4 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

This bead is at Row 3. Column 2 has a bead at Row 3 too → red (=).

  1. Column 5 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 has a bead at Row 3 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Cell B0T7 Tableau Lookup
true (Mandatory 6th Card)

Verified via bankerShouldDraw(0, 7) === true on pair 6+4.

Cell B0T7 60-Branch Matrix Split
27 Banker / 27 Player / 6 Tie

Exact resolution across 6 legal Player starts (0–5) × 10 sixth-card values (0–9).

Cell B0T7 Resulting Player Totals
0+7=7, 1+7=8, 2+7=9, 3+7=0, 4+7=1, 5+7=2

Three-card Player totals produced when fifth card 7 (7) lands on P0..P5.

Cell B0T7 Standing Comparison
0W / 1T / 5L

How standing Banker 0 fares against the 6 Player 3-card totals for P3=7.

Cell B0T7 Sample Audition Hand
B(6+4=0) vs P3=7(7) -> DRAW

Sample sixth card 6 (6) verified through resolveHand().

COMBINATORIAL PROOF · CELL B0T7

Cell B0T7 Analysis: Banker 0 (6+4) Facing Fifth-Card 7 (Value 7)

Under [B0T7], Banker holds two-card total 0 (6+4) while Player draws fifth-card 7 (point value 7) onto an initial 0–5 total. Across those six legal Player starts, [B0T7] produces three-card Player totals of P0+7->7, P1+7->8, P2+7->9, P3+7->0, P4+7->1, P5+7->2.

Because [B0T7] sits inside the active draw window for Banker 0, the dealer deals a sixth card to 6+4: across all 60 (P0..P5 × sixth-card 0..9) combinations in [B0T7], Banker captures 27 wins, Player captures 27 wins, and 6 branches tie.

Cell B0T7 Resolution Across All 6 Legal Player Starts (0–5) with Fifth Card 7 (7)
B0T7 Player StartB0T7 5th CardB0T7 Banker 0 ActionB0T7 10-Card SplitB0T7 Sample Result
[B0T7:P0] 10+K=0[B0T7:5th] +7(7) -> P=7[B0T7:6th] B=0 draws (+6->6)[B0T7:Split] 2B/7P/1T[B0T7:Cards] 6c (P)
[B0T7:P1] 7+4=1[B0T7:5th] +7(7) -> P=8[B0T7:6th] B=0 draws (+6->6)[B0T7:Split] 1B/8P/1T[B0T7:Cards] 6c (P)
[B0T7:P2] 10+2=2[B0T7:5th] +7(7) -> P=9[B0T7:6th] B=0 draws (+6->6)[B0T7:Split] 0B/9P/1T[B0T7:Cards] 6c (P)
[B0T7:P3] 9+4=3[B0T7:5th] +7(7) -> P=0[B0T7:6th] B=0 draws (+6->6)[B0T7:Split] 9B/0P/1T[B0T7:Cards] 6c (B)
[B0T7:P4] 2+2=4[B0T7:5th] +7(7) -> P=1[B0T7:6th] B=0 draws (+6->6)[B0T7:Split] 8B/1P/1T[B0T7:Cards] 6c (B)
[B0T7:P5] A+4=5[B0T7:5th] +7(7) -> P=2[B0T7:6th] B=0 draws (+6->6)[B0T7:Split] 7B/2P/1T[B0T7:Cards] 6c (B)
  • [B0T7-Step1] Verify neither side opened with 8 or 9 before evaluating Banker 0 (6+4).
  • [B0T7-Step2] Confirm Player drew fifth-card 7 (value 7) onto a 0–5 start.
  • [B0T7-Step3] Execute BANKER_TABLEAU[0][7] = true (DRAW at 6 cards).
FLOOR PROCEDURE & SIDE BETS · B0T7

How Cell B0T7 Governs Dragon 7, Panda 8, and Scoreboard Tracking

In 6-card cell [B0T7], Banker 0 (6+4) can reach a 3-card 7 (Dragon 7) by drawing rank 7 or a 3-card 6 (Super 6) by drawing rank 6 after Player's 7.

Once [B0T7] resolves (27B/27P/6T across 60 branches), the winning side logs to the Big Road on shoe PPPBBBBPPB.

Table Reality Check

Myth vs. Truth

MythIn cell B0T7, the dealer checks the Player's 3-card sum (0) before acting on Banker 0.
TruthCell B0T7 inspects only the fifth card's face value (7 from 7), ordering Banker 0 to draws.
MythWinning cell B0T7 guarantees a Red mark on Big Eye Boy and Small Road.
TruthOn derived roads, Red (=) means the Big Road column pattern repeated and Blue (≠) means it broke—never Banker vs 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