Martingale Strategy for Roulette
Di Martingale roulette strategy dey double di bet afta every loss and e dey go back to di base bet afta win. Each win dey recover all di losses wey come before plus one base unit. Dis page dey show wetin dat one dey do to bankroll, and why e no fit change di expected loss.
How di Martingale roulette system dey work?
Lose, and double. Win, and go back to di base bet. Na di whole system be dat. With $10 base bet and $500 table limit, di sequence go finish afta six losses. Di last column na di probability to reach dat step for even-money bet, where each loss get probability 19/37.
Base bet $10, table limit $500. Afta six losses, di next bet na $640, wey pass di limit: di progression go break and you don lose $630. Di chance of six losses wey follow each oda on red na (19/37)^6 = 1.83%, about once for every 55 attempts.
Waka through di system
Loss dey double di stake. Win dey go back to di start.
Stakes and results dey in units of di base bet.
How one session dey look?
Small steps up, then trapdoor. For roulette Martingale, every run of doubling wey finish dey add one base bet, so di line dey climb steady. Di run wey hit di $500 limit go carry back $630 one time: 63 of dose steps.
- p10 −$1,000
- p25 −$1,000
- median −$1,000
- p75 +$930
- p90 +$1,830
Simulator
Each setting dey run 2,000 sessions of even-money bets from $1,000 bankroll. Di results dey update immediately.
Most sessions dey end small for profit (40.8%), and na dat one dey attract pipo. Di mean dey negative (−$66.44) becos di sessions wey lose dey big: di progression hit di table limit for 59.3% of di sessions. Person wey dey bet flat $10 for di same spins dey expect to lose about $27.
How often losing streak dey come
Even-money bet for single-zero wheel dey lose 19 spins out of 37. Each row na di chance sey one particular run of spins go lose finish, and how much Martingale player, wey dey double afta every loss, don lose by dat time.
| losses wey follow each oda | chance | about 1 for | wetin you don lose so far | di next bet |
|---|---|---|---|---|
| 1 | 51.4% | 2 | $1 | $2 |
| 2 | 26.4% | 4 | $3 | $4 |
| 3 | 13.5% | 7 | $7 | $8 |
| 4 | 7.0% | 14 | $15 | $16 |
| 5 | 3.6% | 28 | $31 | $32 |
| 6 | 1.8% | 55 | $63 | $64 |
| 7 | 0.94% | 106 | $127 | $128 |
| 8 | 0.48% | 207 | $255 | $256 |
| 9 | 0.25% | 403 | $511 | $512 |
| 10 | 0.13% | 784 | $1,023 | $1,024 |
| 11 | 0.065% | 1527 | $2,047 | $2,048 |
| 12 | 0.034% | 2974 | $4,095 | $4,096 |
| 13 | 0.017% | 5792 | $8,191 | $8,192 |
| 14 | 0.0089% | 11279 | $16,383 | $16,384 |
| 15 | 0.0046% | 21965 | $32,767 | $32,768 |
Di chance na 19/37 wey you multiply by imself once for every loss, counting from one particular spin. Long session get plenty spins where dat kind run fit start, so for one evening e dey happen more often well well pass wetin one row show.
Run of fifteen losses dey come about once for 22,000 tries. E be like sey e safe. E no safe, for two reasons. Every spin dey start new try, and one evening get hundreds of spins. And nobody dey reach fifteen: from $10 base, di $500 limit dey end di doubling afta six losses, wey dey come about once for 55 tries.
Why e no fit change di odds?
Expected value dey add up. If every single bet get expectation of −2.70% of im stake, then any sequence of bets, no matter how you choose di stakes, get expectation of −2.70% of di total wey you stake. Di stake wey you choose fit depend on di results wey don pass; e no fit depend on di next one.
dem choose bᵢ before spin i; Xᵢ = ±1 no dey depend on bᵢ
Wrong ideas wey pipo get
Small laugh
Plenty small wins, one big loss wey no dey come often. And na you go pay di claim by yourself.
