Fibonacci Roulette Strategy
Fibonacci roulette strategy mein stakes 1, 1, 2, 3, 5, 8, 13… ke hisaab se chalte hain. Haar ke baad ek step aage, jeet ke baad do step peeche.
Yeh wheel ko beat nahi karti; koi staking plan nahi karta. Yeh Martingale se narm hai, isliye limit tak pahunchne se pehle lambi losing runs jhel leti hai, aur recover bhi dheere karti hai. Expected loss wahi turnoverpaisaTurnoverSession ya muddat mein lagayi gayi kul raqam, dobara lagayi gayi jeet milakar. Doosre naam: handle, action.Poora padhein → ka 2.70% hai.
Sequence kaise banta hai
Har number apne pehle ke do numbers ka jod hai.
Toh 8 aur 13 ke baad 21 aata hai.
Har number ko ek square ki tarah banaiye aur squares aapas mein fit ho jaate hain: har naya square pichhle do ko bagal mein rakhne jitna lamba hota hai. Har square mein ek chauthai circle milkar spiral ban jaata hai.
Sequence par chaliye
Haar par ek step daayein. Jeet par do step peeche.
Stakes aur results base bet ke units mein hain.
Fibonacci roulette system kaise kaam karta hai?
FibonaccistrategyFibonacciProgression jo sequence 1, 1, 2, 3, 5, 8, 13… follow karti hai: haar ke baad ek kadam aage, jeet ke baad do kadam peeche.Poora padhein → numbers likhiye: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144. Har number apne pehle ke do numbers ka sum hai. Pehle se shuru kijiye aur utne 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 → bet kijiye. Haare, toh ek step right. Jeete, toh do step left, ya jagah na ho toh shuru par wapas. Bas itna hi system hai. Table dikhati hai ki har step ki keemat kya hai: table limittableTable limitAllowed minimum aur maximum bet. Maximum hi doubling progressions ko rokta hai.Poora padhein → ya aapke 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 → se kati losing run ab tak lagaye gaye sab paise ka sum haar deti hai.
Ek session kaisa dikhta hai?
$10 base aur aath spins lijiye: L L W L L L W W. Stakes chalte hain 10, 10, 20 (jeet, do peeche, step 1 par), 10, 10, 20, 30 (jeet, do peeche, step 2 par), 10 (jeet, shuru par wapas). Haare: 10 + 10 + 10 + 10 + 20 = 60. Jeete: 20 + 30 + 10 = 60. Paanch haar, teen jeet, aur aap barabar par hain. Yahi is system ka attraction hai. Keemat bhi usi line mein hai: wahan tak pahunchne mein $120 ki bets lagi, aur har lagaye gaye dollar par house edgeganitHouse edgeHar stake ka woh hissa jo casino average mein rakh leta hai: European roulette mein 2.70%.Poora padhein → lagta hai.
Do step peeche kyun, ek kyun nahi?
Kyunki ek jeet theek do haar ka paisa chukati hai. Har number pehle ke do ka sum hai, toh 5 units par jeet usse theek pehle haare 2 aur 3 wapas deti hai. Ek seedhi socho: har haar par ek step upar, har jeet par do step neeche. Jis step par aap khade ho, woh aapka karz hai. Step 5 par aap 7 units neeche ho, step 8 par 33 neeche, aur pehle step par wapas aakar bilkul barabar. Profit sirf pehle step ki jeet se aata hai, ek-ek unit karke.
Jab jeet lagbhag haar jitni hi hain, ek ke badle do step sauda lagta hai, aur zyadatar time seedhi sach mein wapas neeche le aati hai. Pakad yeh hai ki chadhte-chadhte steps oonche hote jaate hain. Pehle step par das jeet 10 units deti hain. Steps 6, 7 aur 8 par teen haar 8 + 13 + 21 = 42 le jaati hain.
- p10 −$500
- p25 −$500
- median −$500
- p75 +$250
- p90 +$920
Kya Fibonacci system kaam karta hai?
Nahi. Aage nikalne ke tareeke ke roop mein nahi. Calculation har system jaisi hi hai: har bet average mein apne stake ka 1/37 haarti hai, toh poora sequence lagaye gaye sab paise ka 1/37 haarta hai. Roulette mein Fibonacci sequence use karne se yeh nahi badalta, kyunki chippaisaChipEk fixed raqam ka token, jise bet lagane ke liye layout par rakha jaata hai. Doosra naam: check.Poora padhein → ka size kuch bhi ho, wheel wahi odds deta hai. Fibonacci stakes upar khiskte hain, isliye yeh flat bettingstrategyFlat bettingHar spin par same raqam lagana. Har progression ko isi baseline se compare kiya jaata hai.Poora padhein → se har spin zyada lagata hai, aur iska har session ka expected lossganitExpected lossExpected value guna kul lagayi gayi raqam; ek session ya ek muddat mein ausat nuksaan.Poora padhein → zyada hai. MartingalestrategyMartingaleProgression jo har haar ke baad bet double karti hai. Yeh kya karti hai aur kya nahi, iske liye Strategy section dekhiye.Poora padhein → aur bhi zyada lagata hai, aur zyada haarta hai.
Kya yeh Martingale se safe hai?
Yeh dheema hai, jo same baat nahi hai. Fibonacci stakes har step lagbhag 1.6× badhte hain, 2× nahi, isliye $10 base se $500 limit chhe ki jagah lagbhag das lagataar haar ke baad aati hai. Isse khaai kam aati hai: lagataar das even-money haar (19/37)¹⁰ ≈ 0.13% hai, jabki chhe ke liye (19/37)⁶ ≈ 1.8%. Lekin khaai oonchi bhi hai, kyunki wahan tak pahunchte-pahunchte zyada lag chuka hota hai, aur ek jeet use wapas nahi karti.
Yeh numbers kahan se aaye?
Khargoshon ki ek paheli se. Leonardo of Pisa, jinhe baad mein Fibonacci naam mila, ne ise 1202 ki apni Liber Abaci mein rakha: ek jodi se shuru karo, har jodi apne doosre mahine se har mahine ek nayi jodi paida kare, aur jodiyan gino. Jawab chalta hai 1, 2, 3, 5, 8, 13. Yeh rule dhoondhne wale woh pehle nahi the. Chhand ki laya padhne wale Bharatiya vidwan ise pehle likh chuke the: Singh (1985) ise Virahanka tak, 600 aur 800 ke beech, aur phir Gopala aur Hemachandra tak le jaate hain.
Inme se kisi ke mann mein wheel nahi tha. Yahan use kiye gaye sources yeh nahi batate ki sequence ke hisaab se paisa sabse pehle kisne lagaya. Woh yeh zaroor dikhate hain ki iska arithmetic aur roulette ka arithmetic kabhi nahi milte: ek batata hai stakes kaise badhte hain, doosra batata hai har stake kya wapas deta hai.
Losing run ke baad kitna jaata hai?
Do identities upar ki table check karna aasaan bana deti hain. Lagataar n haar ke baad total loss (n + 2)th Fibonacci number minus 1 hota hai, jo deta hai 1, 2, 4, 7, 12, 20 waghaira, aur agla stake (n + 1)th Fibonacci number hai. Bollman (2021) yahi result induction se ek aise sequence ke liye prove karte hain jo 1, 2, 3 se shuru hota hai, jo har number ko ek jagah khisakata hai. 1-unit start se 500-unit limit par, Martingale apni 10th bet, 512 units, nahi laga sakta. Fibonacci apni 14th, 377 units, laga sakta hai, lekin 15th, 610, nahi.
Dozen ya column par kya badalta hai?
DozenbetDozen1–12, 13–24 ya 25–36, payout 2:1.Poora padhein → ya columnbetColumnLayout ke ek vertical column ke barah numbers, payout 2:1.Poora padhein → par, jo 2 to 1 deta hai, peeche hatne ki zaroorat nahi. Stake F par jeet 2F deti hai, jo hamesha pehle haare sab paise se zyada hai, toh har jeet sequence ko aage khatam karti hai. Keemat yeh hai ki dozen 37 mein sirf 12 baar jeetta hai, isliye lambi losing runs kahin zyada common hain: lagataar chaudah dozen haar lagbhag 242 koshishon mein ek baar hoti hai, jabki redbetRed18 red numbers par even-money bet. French mein: rouge.Poora padhein → ke liye lagbhag 11,000 mein ek baar.
Agar aap sirf lagataar do jeet ke baad rukein toh?
Ek aur variant har spin ke baad, jeet ho ya haar, ek step aage jaata hai, aur sirf lagataar do jeet ke baad rukta hai. Do jeet se pehle n haar ho toh profit (n + 1)th Fibonacci number plus 1 hai: jeet jaldi aaye toh chhota, der se aaye toh bada, aur us stake par jeeta jo utna hi badh chuka hota hai. Jaldi aayi do jeet hamesha chhote stakes par aati hain; der wali ko theek usi pal badi bet chahiye ho sakti hai jab session sabse bura chal raha ho.
Simulator · Fibonacci
$1,000 bankroll se even-money bets ke 2,000 sessions.
Base bet $10 · table limit $500 · har session 100 spins
Haar ki streak kitni baar aati hai
Single-zero wheel par even-money bet 37 mein se 19 spins haarti hai. Har row woh chance hai ki spins ka ek diya hua silsila poora haar jaaye, aur tab tak ek Fibonacci player, jo har haar ke baad sequence mein ek step aage badhta hai, kitna haar chuka hota hai.
| lagatar haar | chance | lagbhag 1 in | ab tak ki haar | agli bet |
|---|---|---|---|---|
| 1 | 51.4% | 2 | $1 | $1 |
| 2 | 26.4% | 4 | $2 | $2 |
| 3 | 13.5% | 7 | $4 | $3 |
| 4 | 7.0% | 14 | $7 | $5 |
| 5 | 3.6% | 28 | $12 | $8 |
| 6 | 1.8% | 55 | $20 | $13 |
| 7 | 0.94% | 106 | $33 | $21 |
| 8 | 0.48% | 207 | $54 | $34 |
| 9 | 0.25% | 403 | $88 | $55 |
| 10 | 0.13% | 784 | $143 | $89 |
| 11 | 0.065% | 1527 | $232 | $144 |
| 12 | 0.034% | 2974 | $376 | $233 |
| 13 | 0.017% | 5792 | $609 | $377 |
| 14 | 0.0089% | 11279 | $986 | $610 |
| 15 | 0.0046% | 21965 | $1,596 | $987 |
Chance 19/37 ko har haar par ek baar khud se guna karke aata hai, ek diye hue spin se gina hua. Lambe session mein aise kai spins hote hain jahan aisa silsila shuru ho sakta hai, isliye ek shaam mein yeh ek row ke andaaze se kahin zyada mumkin hai.
Sawaal
Haan: jeet ke baad aage, haar ke baad peeche. Yeh ek dheeme ParolistrategyParoliPositive progression: jeet ke baad double, haar ke baad ya lagatar teen jeet ke baad reset. Doosra naam: reverse Martingale.Poora padhein → jaisa behave karta hai.
Maths ke saath mazaa
Pehle khud try kijiye. Har solution chhupa hua hai; jab taiyaar hon tab kholiye.
Woh variant khelein jo jeet ho ya haar, har spin ke baad sequence mein ek step aage badhta hai aur lagatar do jeet ke baad ruk jaata hai: stakes 1, 1, 2, 3, 5, 8 aur aage. Pehle chaudah results hain W L W L L L W L L L W L L W (W = jeet, L = haar). Aap kahan khade hain, aur agli bet kya hai?
Solution dikhaiye
Jawab 22 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 → neeche. Agli bet 610 units ki hai, aur jeet session ko 588 upar khatam karegi.
Stakes pehle chaudah FibonaccistrategyFibonacciProgression jo sequence 1, 1, 2, 3, 5, 8, 13… follow karti hai: haar ke baad ek kadam aage, jeet ke baad do kadam peeche.Poora padhein → numbers hain: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233 aur 377. Jeet jodiye aur haar ghataiye: +1 −1 +2 −3 −5 −8 +13 −21 −34 −55 +89 −144 −233 +377 = −22.
Aakhri result jeet tha, isliye ek aur jeet ise khatam kar degi. Agla stake 610 hai: jeet par +588 bachta hai, haar par −632 aur agla stake 987.
Yeh variant hamesha faayde mein khatam hota hai, lekin yahan iske liye 610-unit ki bet chahiye. Aam rules mein, jeet ke baad do step peeche, wahi chaudah results aapko sirf 1 unit neeche chhodte hain aur agli bet 2 ki hoti hai. Bollman (2021), jo sequence 1, 2, 3 se shuru karte hain, 1 neeche aur agli bet 3 paate hain. Aam rules yahan kam haarte hain kyunki har jeet stakes ko wapas neeche kheench leti hai.
spinstakeresultchalta total11jeet+121haar032jeet+243haar−155haar−668haar−14713jeet−1821haar−22934haar−561055haar−1111189jeet−2212144haar−16613233haar−39914377jeet−22Usi variant mein, n haar ke baad do jeet hamesha (n + 1)th Fibonacci number plus 1 ka munafa kyun chhodti hain?
Solution dikhaiye
Jawab n haar milkar (n + 2)th Fibonacci number minus 1 banti hain, aur do jeet agle do numbers hain, jo milkar usse (n + 1)th number plus 1 zyada hain.
1, 1, 2, 3, 5 … ke liye F₁, F₂, F₃ … likhiye. Har number apne pehle ke do numbers ka jod hai.
Haar: F₁ + F₂ + … + Fₙ. Is jod mein 1 jodiye, use F₂ likhkar, aur yeh simat jaata hai: F₂ + F₁ = F₃, phir F₃ + F₂ = F₄, aur aise hi, jab tak poora jod Fₙ₊₂ na ban jaaye. Isliye haar ka total Fₙ₊₂ − 1 hai.
Jeet agle do stakes hain, Fₙ₊₁ aur Fₙ₊₂. Munafa: Fₙ₊₁ + Fₙ₊₂ − (Fₙ₊₂ − 1) = Fₙ₊₁ + 1. Chaar haar ke saath yeh F₅ + 1 = 6 units hai.
Thodi hansi
Golden ratio ki mulaqaat maximum bet ke board se.
Sources
- RouletteDoc. Strategy ka description aur examples.
- Roulette77. Strategy ka description aur examples.
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed.
- Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette.
- Sigler, L. E. Fibonacci’s Liber Abaci: A Translation into Modern English of Leonardo Pisano’s Book of Calculation.
- Singh, P. The so-called Fibonacci numbers in ancient and medieval India.