Roulette Betting Strategies · Negative progression · 7 min

Grand Martingale Roulette Strategy

Grand MartingalestrategyMartingaleProgression jo har haar ke baad bet double karti hai. Yeh kya karti hai aur kya nahi, iske liye Strategy section dekhiye.Poora padhein → har haar ke baad pichhle stake ke double mein base amount jodta hai. Yeh 1, 3, 7, 15, 31 ki tarah badhta hai, aur haar ka silsila jitna lamba ho, profit target utna badhta hai.

Chhota jawab

One-unit base ke saath, bet number n par jeet pichhle nuksaan wapas laati hai aur net n units deti hai. Aath haar 502 units ki padti hain; uske baad 1,000-unit bankroll agla 511-unit bet nahi laga sakta.

one-unit sequence
1, 3, 7, 15, 31, 63…
haar ke baad rule
2 × stake + base
aath bets ke baad nuksaan
502 units
bet 9 tak zaroori funds
1,013 units

Steps aur formula

Ek even-money betbetEven-money betRed/black, odd/even, high/low. 18 numbers, payout 1:1.Poora padhein → aur ek base b chuniye. Shuruaat b se karein; haar ke baad abhi haari gayi raqam ka double plus b lagayein, aur jeet ke baad wapas b par reset karein. b = 1 ke liye stakes 1, 3, 7, 15, 31, 63, 127, 255, 511 hain. n-va stake 2^n − 1 unitspaisaUnitBase stake jismein koi system ya player kaam karta hai. Progressions units mein batayi jaati hain taaki kisi bhi table par laagu hon.Poora padhein → hai. n-ve bet par jeet poore run ke liye net n units deti hai, har baar ek-unit ki fixed recovery nahi.

Growth table

Cumulative loss woh raqam hai jo agla listed bet lagane se pehle ja chuki hoti hai.

bet numberstakepichhle nuksaanyeh bet jeete to net
110+1
231+2
374+3
41511+4
8255247+8
9511502+9
Saare figures one-unit base aur even-money net payouts maante hain.

Worked example

1, 3 aur 7 par haar ke baad 11 units ja chuke hain. 15-unit ki jeet jeetne wale stake samet 30 units wapas deti hai. Kul lagaye gaye 26 units ghatane par +4 bachta hai, jo 15 − 11 se match karta hai. Agar woh 15-unit bet haar jaye, to cumulative loss 26 ho jata hai aur agla stake 31 hai. Gross return aur net profit ko ek hi figure nahi maanna chahiye.

Expectation aur bankroll risk

Ek even-money bet 37 single-zerowheelZeroAkela green pocket jise koi even-money, dozen ya column bet cover nahi karta; house edge ka source. Doosre naam: single zero, 0.Poora padhein → outcomes mein se 19 par haarti hai. 1,000-unit bankrollpaisaBankrollKhelne ke liye alag rakhi gayi kul raqam. Bankroll management ka matlab hai tay karna ki har bet aur har session mein iska kitna hissa risk karna hai.Poora padhein → ke saath, 255-unit ke aathve bet tak ke nuksaan 502 ke padte hain, aur 498 bachte hain. Yeh bankruptcy nahi hai, lekin agle 511-unit stake ke liye kaafi nahi hai; use shuru se laga paane ke liye 1,013 units chahiye honge. Bankroll badhane se yeh seema sirf aage khisakti hai, kyunki zaroori stakes har haar par lagbhag double hote hain. European wheel par har exposed unit ka expected lossganitExpected lossExpected value guna kul lagayi gayi raqam; ek session ya ek muddat mein ausat nuksaan.Poora padhein → phir bhi 1/37 hai.

Sawaal

Kya yeh bas ordinary Martingale hai?

Nahi. Ordinary doubling 1, 2, 4, 8 use karti. Yeh rule doubling ke baad base jodta hai, jisse 1, 3, 7, 15 bante hain aur recovery ke baad target bada hota hai.

Kya aath haar ke baad 1,000-unit bankroll khatam ho jata hai?

Nahi. 502 haarne ke baad bhi 498 units bachte hain, lekin yeh bachi raqam agla 511-unit bet fund nahi kar sakti.

Thodi hansi

1, 3, 7, 15, 31, 63, 127, 255: aath haar 502 units ki padti hain.

1, 3, 7, 15, 31, 63, 127, 255: aath haar 502 units ki padti hain.

Sources

  1. RouletteDoc, Strategy overview https://roulettedoc.com/strategy
  2. Roulette77, “Grand Martingale” — bataya gaya loss rule https://roulette77.us/strategies/grand-martingale
  3. Wizard of Odds, Roulette Basics — even-money probability aur edge https://wizardofodds.com/games/roulette/basics/
  4. Wizard of Odds, The Truth about Betting Systems — limited bankroll ki seemayein https://wizardofodds.com/gambling/betting-systems/
2026-09-28 ko review kiyamodel: European, single zero walamethodology ↗sources ↗