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NON-NATURAL MATCHUP [M4V6] · 100-BRANCH MATRIX

Player Starts 4 vs. Banker Starts 6 (M4V6): 100-Branch Resolution Matrix

When Player opens at 4 (2+2) and Banker opens at 6 (2+4) in matchup M4V6, neither side holds a Natural. Evaluating all 100 (fifth-card 0..9 × sixth-card 0..9) branches through resolveHand() yields 57 Banker wins, 31 Player wins, and 12 ties (0 four-card, 80 five-card, and 20 six-card branches).

Matchup M4V6 Start
P=4 vs B=6
M4V6 100-Branch Split
57B/31P/12T
M4V6 4c/5c/6c Branches
0/80/20
M4V6 Step 2 Action
P Draws
Engine-Verified Scoreboard · 34 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with the 100-branch matchup matrix M4V6 (Player 4 vs Banker 6).

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 3 beads. Same depth → red (=).

  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 3 beads. Same depth → red (=).

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 3, one row above → blue (≠).

  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 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.

Cockroach Pig Mark #3

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 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

Matchup M4V6 Initial Deal
Player 2+2=4 vs Banker 2+4=6

Non-natural 4-card opening verified via playerShouldDraw(4)=true.

M4V6 100-Branch Outcome Split
57 Banker / 31 Player / 12 Tie

Exact enumeration across all 100 (fifthCard 0..9 × sixthCard 0..9) value pairs.

M4V6 Card-Count Distribution
0 (4-card) / 80 (5-card) / 20 (6-card)

Branch counts by total cards dealt in matchup M4V6.

M4V6 Player Action Rule
Draws 5th Card on 4

Determines whether Banker 6 uses BANKER_TABLEAU[6][p3] or the null-stand rule.

M4V6 Banker Action Rule
Draws on 2/10 5th Cards

Exact Banker response profile in matchup M4V6.

EXACT 100-BRANCH ENUMERATION · M4V6

How Matchup M4V6 (Player 4 vs. Banker 6) Resolves Across Fifth & Sixth Cards

In matchup [M4V6], Player starts with 2+2=4 against Banker 2+4=6. Because P=4 is in 0–5, Player always draws the fifth card (0..9), shifting Player to 4..3 and prompting Banker 6 to consult BANKER_TABLEAU[6].

Summing all 100 (fifth 0..9 × sixth 0..9) branches for [M4V6] produces 57 Banker wins, 31 Player wins, and 12 ties across 0 four-card, 80 five-card, and 20 six-card outcomes.

Matchup M4V6 100-Branch Breakdown by Fifth Card Value (0–9)
M4V6 5th CardM4V6 Player PathM4V6 Banker PathM4V6 10-Branch B/P/TM4V6 Hand Size
[M4V6:5th=0] 10(0)[M4V6:P3] P:4+0->4[M4V6:BPat] B=6 stands[M4V6:Split] 10B/0P/0T[M4V6:Size] 5 cards
[M4V6:5th=1] A(1)[M4V6:P3] P:4+1->5[M4V6:BPat] B=6 stands[M4V6:Split] 10B/0P/0T[M4V6:Size] 5 cards
[M4V6:5th=2] 2(2)[M4V6:P3] P:4+2->6[M4V6:BPat] B=6 stands[M4V6:Split] 0B/0P/10T[M4V6:Size] 5 cards
[M4V6:5th=3] 3(3)[M4V6:P3] P:4+3->7[M4V6:BPat] B=6 stands[M4V6:Split] 0B/10P/0T[M4V6:Size] 5 cards
[M4V6:5th=4] 4(4)[M4V6:P3] P:4+4->8[M4V6:BPat] B=6 stands[M4V6:Split] 0B/10P/0T[M4V6:Size] 5 cards
[M4V6:5th=5] 5(5)[M4V6:P3] P:4+5->9[M4V6:BPat] B=6 stands[M4V6:Split] 0B/10P/0T[M4V6:Size] 5 cards
[M4V6:5th=6] 6(6)[M4V6:P3] P:4+6->0[M4V6:B3] B=6 draws 6th[M4V6:Split] 9B/0P/1T[M4V6:Size] 6 cards
[M4V6:5th=7] 7(7)[M4V6:P3] P:4+7->1[M4V6:B3] B=6 draws 6th[M4V6:Split] 8B/1P/1T[M4V6:Size] 6 cards
[M4V6:5th=8] 8(8)[M4V6:P3] P:4+8->2[M4V6:BPat] B=6 stands[M4V6:Split] 10B/0P/0T[M4V6:Size] 5 cards
[M4V6:5th=9] 9(9)[M4V6:P3] P:4+9->3[M4V6:BPat] B=6 stands[M4V6:Split] 10B/0P/0T[M4V6:Size] 5 cards
  • [M4V6-Rule1] Verify non-natural opening: P(2+2)=4 vs B(2+4)=6.
  • [M4V6-Rule2] Apply Player 0–5 draw rule first, then Banker 6 response.
  • [M4V6-Rule3] Audit 57B/31P/12T matrix total and record onto shoe BBBPPPBBB.
Table Reality Check

Myth vs. Truth

MythWhen Player starts with 4 against Banker 6 (M4V6), the higher two-card start always wins most branches.
TruthIn [M4V6], third-card draw rules shift the 100-branch total to 57B / 31P / 12T.
MythA 6-card finish in M4V6 forces a Blue break mark on Small Road.
TruthSmall Road compares Big Road column depths two columns back; card count in M4V6 never affects derived road color.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

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