[GMRS160] Doubles the prior wager plus 1 extra unit after every loss (1, 3, 7, 15, 31) and resets to 1u on a win. Across 160-Hand Two-Shoe Session (50u Bankroll) (Back-to-back two-shoe floor session testing progression endurance under a 50-unit stop-loss), staking Grand Martingale on Player (1.2351% house edge) generates 707.2 units of cumulative action, an expected mathematical cost of −8.73 units, ±53.18 units of standard deviation, and a 62.4% session survival rate (37.6% bankroll ruin risk).
GMRS160 (Grand Martingale · 160H / 50u) scoreboard sample. Derived-road red/blue marks never alter GMRS160 progression expectation.
This bead is at Row 2. Column 2 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 2 stopped exactly one row above this bead.
Column 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.
This bead is at Row 2. Column 2 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 2 stopped exactly one row above this bead.
Doubles the prior wager plus 1 extra unit after every loss (1, 3, 7, 15, 31) and resets to 1u on a win (Aggressive Negative Progression).
160 hands × 4.42u average stake multiplier.
Linear expectation across 707.2u action at 1.2351% Player edge.
Volatility envelope over 160 deals against a 50u bankroll.
Accelerates cumulative bankroll commitment to 57 units by step 5, exhausting medium bankrolls two steps faster than standard Martingale.
[GMRS160-MECHANICS] Staking protocol GMRS160 applies Grand Martingale (1-3-7-15-31) (1-3-7-15-31-63) on Player across 160 hands with a 50-unit stop-loss. Doubles the prior wager plus 1 extra unit after every loss (1, 3, 7, 15, 31) and resets to 1u on a win. Back-to-back two-shoe floor session testing progression endurance under a 50-unit stop-loss.
[GMRS160-EXPECTATION] By linearity of expectation, GMRS160 cannot alter the 8-deck 1.2351% Player house edge: multiplying 707.2u cumulative action by −1.2351% locks in −8.73u expected drift with ±53.18u standard deviation. Accelerates cumulative bankroll commitment to 57 units by step 5, exhausting medium bankrolls two steps faster than standard Martingale. Remember that baccarat is an 18+ / 21+ game of chance; review /legal/responsible-gambling before setting session limits.
| GMRS160 Checkpoint | GMRS160 Hands | GMRS160 Action | GMRS160 EV Drift | GMRS160 SD Band |
|---|---|---|---|---|
| GMRS160-Stage-1 | 32h [GMRS160] | 141.4u [GMRS160] | -1.75u [GMRS160] | ±23.78u [GMRS160] |
| GMRS160-Stage-2 | 64h [GMRS160] | 282.9u [GMRS160] | -3.49u [GMRS160] | ±33.63u [GMRS160] |
| GMRS160-Stage-3 | 96h [GMRS160] | 424.3u [GMRS160] | -5.24u [GMRS160] | ±41.19u [GMRS160] |
| GMRS160-Stage-4 | 128h [GMRS160] | 565.8u [GMRS160] | -6.99u [GMRS160] | ±47.56u [GMRS160] |
| GMRS160-Stage-5 | 160h [GMRS160] | 707.2u [GMRS160] | -8.73u [GMRS160] | ±53.18u [GMRS160] |
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