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NON-NATURAL MATCHUP [M7V0] · 100-BRANCH MATRIX

Player Starts 7 vs. Banker Starts 0 (M7V0): 100-Branch Resolution Matrix

When Player opens at 7 (2+5) and Banker opens at 0 (10+K) in matchup M7V0, neither side holds a Natural. Evaluating all 100 (fifth-card 0..9 × sixth-card 0..9) branches through resolveHand() yields 20 Banker wins, 70 Player wins, and 10 ties (0 four-card, 100 five-card, and 0 six-card branches).

Matchup M7V0 Start
P=7 vs B=0
M7V0 100-Branch Split
20B/70P/10T
M7V0 4c/5c/6c Branches
0/100/0
M7V0 Step 2 Action
P Stands
Engine-Verified Scoreboard · 34 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with the 100-branch matchup matrix M7V0 (Player 7 vs Banker 0).

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 4 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 3, 1 column further back.
  2. Column 4 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 3.

Small Road Mark #3

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 3.
  2. Column 3 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Matchup M7V0 Initial Deal
Player 2+5=7 vs Banker 10+K=0

Non-natural 4-card opening verified via playerShouldDraw(7)=false.

M7V0 100-Branch Outcome Split
20 Banker / 70 Player / 10 Tie

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

M7V0 Card-Count Distribution
0 (4-card) / 100 (5-card) / 0 (6-card)

Branch counts by total cards dealt in matchup M7V0.

M7V0 Player Action Rule
Stands Pat on 2-Card 7

Determines whether Banker 0 uses BANKER_TABLEAU[0][p3] or the null-stand rule.

M7V0 Banker Action Rule
Always Draws 5th Card on 0

Exact Banker response profile in matchup M7V0.

EXACT 100-BRANCH ENUMERATION · M7V0

How Matchup M7V0 (Player 7 vs. Banker 0) Resolves Across Fifth & Sixth Cards

In matchup [M7V0], Player starts with 2+5=7 against Banker 10+K=0. Because P=7 stands on 6–7 while B=0 is in 0–5, Player takes no third card and Banker 0 draws the fifth card to finish in 5 cards.

Summing all 100 (fifth 0..9 × sixth 0..9) branches for [M7V0] produces 20 Banker wins, 70 Player wins, and 10 ties across 0 four-card, 100 five-card, and 0 six-card outcomes.

Matchup M7V0 100-Branch Breakdown by Fifth Card Value (0–9)
M7V0 5th CardM7V0 Player PathM7V0 Banker PathM7V0 10-Branch B/P/TM7V0 Hand Size
[M7V0:5th=0] 10(0)[M7V0:PPat] P stands at 7[M7V0:B5th] B:0+0->0[M7V0:Split] 0B/10P/0T[M7V0:Size] 5 cards
[M7V0:5th=1] A(1)[M7V0:PPat] P stands at 7[M7V0:B5th] B:0+1->1[M7V0:Split] 0B/10P/0T[M7V0:Size] 5 cards
[M7V0:5th=2] 2(2)[M7V0:PPat] P stands at 7[M7V0:B5th] B:0+2->2[M7V0:Split] 0B/10P/0T[M7V0:Size] 5 cards
[M7V0:5th=3] 3(3)[M7V0:PPat] P stands at 7[M7V0:B5th] B:0+3->3[M7V0:Split] 0B/10P/0T[M7V0:Size] 5 cards
[M7V0:5th=4] 4(4)[M7V0:PPat] P stands at 7[M7V0:B5th] B:0+4->4[M7V0:Split] 0B/10P/0T[M7V0:Size] 5 cards
[M7V0:5th=5] 5(5)[M7V0:PPat] P stands at 7[M7V0:B5th] B:0+5->5[M7V0:Split] 0B/10P/0T[M7V0:Size] 5 cards
[M7V0:5th=6] 6(6)[M7V0:PPat] P stands at 7[M7V0:B5th] B:0+6->6[M7V0:Split] 0B/10P/0T[M7V0:Size] 5 cards
[M7V0:5th=7] 7(7)[M7V0:PPat] P stands at 7[M7V0:B5th] B:0+7->7[M7V0:Split] 0B/0P/10T[M7V0:Size] 5 cards
[M7V0:5th=8] 8(8)[M7V0:PPat] P stands at 7[M7V0:B5th] B:0+8->8[M7V0:Split] 10B/0P/0T[M7V0:Size] 5 cards
[M7V0:5th=9] 9(9)[M7V0:PPat] P stands at 7[M7V0:B5th] B:0+9->9[M7V0:Split] 10B/0P/0T[M7V0:Size] 5 cards
  • [M7V0-Rule1] Verify non-natural opening: P(2+5)=7 vs B(10+K)=0.
  • [M7V0-Rule2] Apply Player 6–7 stand rule first, then Banker 0 response.
  • [M7V0-Rule3] Audit 20B/70P/10T matrix total and record onto shoe BBBBPBPBP.
Table Reality Check

Myth vs. Truth

MythWhen Player starts with 7 against Banker 0 (M7V0), the higher two-card start always wins most branches.
TruthIn [M7V0], third-card draw rules shift the 100-branch total to 20B / 70P / 10T.
MythA 4-or-5-card finish in M7V0 forces a Blue break mark on Small Road.
TruthSmall Road compares Big Road column depths two columns back; card count in M7V0 never affects derived road color.
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