Myth: Hamesha Jeetne Wali Roulette Strategy
“Mere paas ek system hai jo 80% baar jeetta hai.” Ho sakta hai. Phir bhi woh paisa haarta hai.
Ek system jeetne wale sessions ko aam bana sakta hai. Woh expected value ko positive nahi bana sakta, kyunki uska har bet apne stake ka −1/37 hai aur expected values judti hain. Jo systems sabse zyada baar jeette hain, woh haarne par sabse zyada haarte hain.
Daava
Vishwas yeh hai: kahin na kahin ek aisi roulette strategy hai jo hamesha jeetti hai, pichhle nateejon par adharit stake badalne ka ek system jo roulette ko jeetne wala game bana deta hai. Saboot ke taur par: jeetne wale sessions ka silsila, har baar roulette jeetne ka tareeka batane wala video, kisi ki gawahi, kisi lucky hafte ki spreadsheet. Daava aksar imaandaar hota hai; insaan use maanta hai kyunki woh ab tak chal raha hai.
Yeh galat kyun hai, ek line mein
Expected valuesganitExpected valueLambe samay mein har bet ka ausat nateeja. Har standard European bet ke liye stake ka −1/37.Poora padhein → judti hain. Agar har bet ka EV uske stake ka −1/37 hai, toh bets ke kisi bhi sequence ka EV kul lagaye gaye paise ka −1/37 hai, chahe stake kisi bhi niyam se chune gaye hon. System stake chunne ka ek niyam hai. Isliye har system ka EV turnoverpaisaTurnoverSession ya muddat mein lagayi gayi kul raqam, dobara lagayi gayi jeet milakar. Doosre naam: handle, action.Poora padhein → ka −1/37 hai. Yeh ek theorem hai (Doob aur Halmos ne 1930 ke dashak mein ise saabit kiya; Thorp 1969 shartein batata hai), aur ismein chaalaak niyamon ke liye koi chhoot nahi hai. Ek shart jaanne layak hai, minimum bet: Thorp ki misaal redbetRed18 red numbers par even-money bet. French mein: rouge.Poora padhein → par $1,000 lagati hai, phir 90 cents, phir 9 cents aur aise hi, hamesha ke liye chhota hota hua. 18/37 chance ke saath pehla bet jeetta hai aur player hamesha ke liye aage reh jaata hai, halaanki expected nateeja ab bhi kul lagaye gaye paise ka −1/37 hai. Asli table ka minimum ise rok deta hai, aur uske saath lambe samay mein aage rehne ki har ummeed bhi.
Yeh chalta hua kyun lagta hai
Negative progressionsstrategyProgressionKoi bhi rule jo pichhle results ke hisaab se stake badalta hai. Negative progressions haar ke baad ise badhati hain, positive jeet ke baad.Poora padhein → jeetne wale sessions ko aam bana dete hain. $500 limit par $10 se MartingalestrategyMartingaleProgression jo har haar ke baad bet double karti hai. Yeh kya karti hai aur kya nahi, iske liye Strategy section dekhiye.Poora padhein → 100 spin ke lagbhag 80% sessions kuch 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 → aage khatam karta hai. Jo player ise bees session chalata hai woh solah jeetta hai aur yahi yaad rakhta hai. Chaar haarne wale sessions mein se har ek das jeetne wale sessions ki kamaai se zyada haarta hai, aur bees session ka hisaab negative hai. System ne mean nahi badla; usne haar ko kam lekin bade sessions mein khiska diya hai jahan use bad luck kehna aasaan hai.
Woh test jo koi bhi kar sakta hai
Is site ka Strategy Simulator kisi bhi system ke, ya aapke apne code ke, 10,000 sessions ek second mein chalata hai. Use us system par set kijiye jis par aapko bharosa hai aur mean padhiye. Agar kisi bhi setting ke liye mean positive hota, toh yeh page woh batata. Har setting, har system, har table limittableTable limitAllowed minimum aur maximum bet. Maximum hi doubling progressions ko rokta hai.Poora padhein → turnover ka −2.70% plus noise ka mean deti hai. Gawahiyan ek ka sample hain; simulator das hazaar ka.
Ek system jo haar nahi sakta
1997 mein poker writer Mike Caro ne mazaak mein ek roulette system post kiya, aur Gambling Times ne 2001 mein use dobara chhapa. Yeh un bets ki list hai jinse bachna hai: kabhi red ya blackbetBlack18 black numbers par even-money bet. French mein: noir.Poora padhein →, odd ya even, ya zeroswheelZeroAkela green pocket jise koi even-money, dozen ya column bet cover nahi karta; house edge ka source. Doosre naam: single zero, 0.Poora padhein → nahi; koi odd red number nahi aur koi even black number nahi; aur 30 par kuch nahi, na hi American wheel par 11 se clockwise ghoomkar 14 tak ke lambe pocketssaamanPocketRotor ke 37 numbered khaanon mein se ek. Doosre naam: slot, cup.Poora padhein → ke silsile par. Niyam jodiye aur koi number nahi bachta. Us silsile ke bahar sirf 0, 28, 9, 26, 30 aur 2 pocket hain; 30 naam se mana hai, aur baaki zero, even aur black, ya odd aur red hain. Jo player system follow karta hai woh kabhi bet nahi lagata aur kabhi nahi haarta. Iska edge zero hai, aur yeh akela roulette system hai jo is baare mein imaandaar hai ki wahan kaise pahunchta hai.
Naam wale systems, har ek ek line mein
Kisi naam se, ya roulette jeetne ke formula ke roop mein beche jaane wale systems alag nahi hain. Har ek bets ka ek set hai, aur har bet wheel ko uska 2.70% deta hai. Bollman (2024) American wheel ke liye kai systems ka hisaab lagata hai, jahan har ek ki keemat 5.26% hai; yahan woh European wheel par hain.
Imaandaar version
Systems session ki shape badalte hain: aap kitni baar jeette hain, jeet kitni badi hai, sabse bura case kitna bura hai. Yeh asli chunaav hain aur player ek shape ko doosri se zyada pasand kar sakta hai. Systems jo nahi badalte woh keemat hai, jo har lagaye gaye paise ka 2.70% hai, aur kyunki progressions flat bettingstrategyFlat bettingHar spin par same raqam lagana. Har progression ko isi baseline se compare kiya jaata hai.Poora padhein → se zyada paisa lagate hain, woh iska zyada hissa chukaate hain.
Sawaal
Chhe mahine ke weekly sessions lagbhag 25 sessions hain. Martingale unmein se 80% jeetta hai. Haarne wale sessions aa rahe hain, aur woh bade hain.
Stop rule turnover kam karta hai aur isliye expected lossganitExpected lossExpected value guna kul lagayi gayi raqam; ek session ya ek muddat mein ausat nuksaan.Poora padhein → kam karta hai. Use positive nahi banata.
Fair wheel par nahi. Biased wheellabBiased wheelAisa wheel jiske physical defects kuch pockets ko 1/37 se zyada likely bana dete hain. Bahut kam milta hai, aur hazaron record kiye gaye spins se hi pakda ja sakta hai.Poora padhein → par, jo physics ka sawaal hai, system ka nahi.
Maths ke saath mazaa
Pehle khud try kijiye. Har solution chhupa hua hai; jab taiyaar hon tab kholiye.
Mike Caro ka 1997 ka mazaakiya system American wheel ke liye redbetRed18 red numbers par even-money bet. French mein: rouge.Poora padhein → aur blackbetBlack18 black numbers par even-money bet. French mein: noir.Poora padhein →, odd aur even, aur zeroswheelZeroAkela green pocket jise koi even-money, dozen ya column bet cover nahi karta; house edge ka source. Doosre naam: single zero, 0.Poora padhein → par ban lagata hai; odd red numbers aur even black numbers par; number 30 par; aur 11 se clockwise ghoomkar 14 tak ke har pocketsaamanPocketRotor ke 37 numbered khaanon mein se ek. Doosre naam: slot, cup.Poora padhein → par. Rules ek-ek karke lagaiye. Bet ke liye kaun se numbers bachte hain?
Solution dikhaiye
Jawab Koi nahi. System kabhi bet nahi lagata, isliye uska edge theek zero hai.
Red, black, odd, even aur zeros par ban 1 se 36 ke beech single numbers aur chhote groups chhodta hai.
Na odd red aur na even black se even red (12, 14, 16, 18, 30, 32, 34, 36) aur odd black (11, 13, 15, 17, 29, 31, 33, 35) bachte hain: solah numbers. 30 par ban se pandrah bachte hain.
American wheel par 11 se clockwise 14 tak ka run 38 mein se 32 pockets cover karta hai. Uske bahar ke chhah hain 0, 28, 9, 26, 30 aur 2. Bache hue saare pandrah run ke andar hain, isliye aakhri rule unhe bhi hata deta hai. Jo system kabhi bet nahi lagata, wahi akela kabhi nahi haarta, aur Caro yahi kehna chahte the.
Kryptos ek saath teen MartingalesstrategyMartingaleProgression jo har haar ke baad bet double karti hai. Yeh kya karti hai aur kya nahi, iske liye Strategy section dekhiye.Poora padhein → chalata hai, even-money betsbetEven-money betRed/black, odd/even, high/low. 18 numbers, payout 1:1.Poora padhein → ke har pair par ek (high ya low, odd ya even, red ya black), stakes 1, 2, 4, 8, 16, 32 aur chhah haar ke baad stop. European wheel par teen mein se ek lijiye. Yeh kitni baar saari chhah bets haarta hai, ek cycle average mein kya kamaata hai, aur yeh lagaye gaye paise ka kitna hissa hai?
Solution dikhaiye
Jawab Yeh saari chhah lagbhag 55 cycles mein ek baar haarta hai, 1.83% baar, aur iski keemat 63 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. Average mein ek cycle 6.42 units lagane par lagbhag 0.17 units haarta hai: 2.70%, wheel ki har bet ki keemat.
Ek bet zero samet 19/37 chance se haarti hai. Lagatar chhah: (19/37)⁶ = 0.0183, lagbhag 55 mein 1, aur tab stakes 1 + 2 + 4 + 8 + 16 + 32 = 63 chale jaate hain. Warna cycle jeet aur +1 unit ke saath khatam hota hai.
Average: 1 × (1 − 0.0183) − 63 × 0.0183 = 1 − 64 × 0.0183 = −0.17 units.
Lagaya gaya paisa: pehli bet hamesha lagti hai, doosri sirf haar ke baad, aur aise hi: 1 + 2 × (19/37) + 4 × (19/37)² + … + 32 × (19/37)⁵ = 6.42 units. Aur −0.17/6.42 = −2.70%.
Record kiye chhah spins sirf yeh tay karte hain ki har bet kis side par lagegi, aur wheel unhe jaan nahi sakta. Teeno chalane se lagaya gaya paisa teen guna hota hai aur uske saath average nuksaan bhi. Bollman (2024) system ko American wheel par chalate hain, jahan har ek 2.1% baar lagatar chhah haarta hai.
Thodi hansi
Aksar jeetna aur paisa jeetna alag-alag numbers hain.
Sources
- Thorp, E. O. “Optimal gambling systems for favorable games.”
- Thorp, E. O. The Mathematics of Gambling.
- Doob, J. L. “Note on probability.”
- Halmos, P. R. “Invariants of certain stochastic transformations: the mathematical theory of gambling systems.”
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette.
- Bollman, M. Basic Gambling Mathematics: The Numbers Behind the Neon, 2nd ed.