Rulɛt bɛt stratɛji dɛn · Nɛgativ prɔgrɛshɔn · 8 minit

Fibonacci rulɛt stratɛji

Na di Fibonacci rulɛt stratɛji, di bɛt mɔni de fala 1, 1, 2, 3, 5, 8, 13… Go bifo wan stɛp afta lɔs, go bak tu afta win.

Shɔt ansa

I nɔ de bit di wil; nɔ plan fɔ bɛt mɔni nɔ de bit am. I saful pas Martingale, so i kin las lɔng pas am pan lɔs strik bifo i nak di limit, ɛn i de kɔba bak slo slo. Di lɔs we fɔ ɛkspɛkt na di sem 2.70% pan ɔl di mɔni we yu bɛtmɔniƆl di bɛt mɔniƆl di mɔni we yu bɛt na wan sɛshɔn ɔ wan tɛm, wit di win mɔni we yu bɛt bak. Dɛn kin kɔl am bak: handle, action.Rid ɔl →.

lain nɔmba
1 1 2 3 5 8 13 21
afta lɔs
+1 stɛp
afta win
−2 stɛp
$500 limit frɔm $10
afta ~10 lɔs

Aw dɛn de bil di nɔmba lain

Ɛni nɔmba na di tu wan dɛn we de bifo am ad togɛda.

11235813

So afta 8 ɛn 13, na 21 de kam.

Drɔ ɛni nɔmba lɛk skwɛ ɛn di skwɛ dɛn go fit togɛda: ɛni nyu wan lɔng lɛk di tu wan dɛn bifo am we yu put sayd bay sayd. Kwata sakul pan ɛni skwɛ de jɔyn togɛda fɔ mek spayral.

2×23×35×58×813×1321×21

Waka di nɔmba lain

Lɔs de muf wan stɛp go na rayt. Win de muf tu stɛp go bak.

11235813213455Lɔs
nɛks bɛt mɔni1rizɔlt te naw0spin0

Bɛt mɔni ɛn rizɔlt de na yunit fɔ di fɔs bɛt.

Aw di Fibonacci rulɛt sistɛm de wok?

Rayt di FibonaccistratɛjiFibonacciPrɔgrɛshɔn we de fala di sikwɛns 1, 1, 2, 3, 5, 8, 13…: wan stɛp bifo afta yu lɔs, tu stɛp bak afta yu win.Rid ɔl → nɔmba dɛn: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144. Ɛni wan na di tu we de bifo am ad tugɛda. Bigin na di fɔs wan ɛn bɛt da ɔmɔs yunitmɔniYunitDi bes bɛt mɔni we sistɛm ɔ pleya de wok wit. Dɛn de ɛksplen prɔgrɛshɔn wit yunit so dat i go wok na ɛni tebul.Rid ɔl → de. If yu lɔs, yu muv wan stɛp go na raytan. If yu win, yu muv tu stɛp go na lɛftan, ɔ go bak na di bigin if nɔ ples nɔ de. Na dat na di ɔl sistɛm. Di tebul de sho wetin ɛni stɛp kɔst: lɔs strik we di tebul limittebulTebul limitDi smɔl ɛn di big bɛt we dɛn alaw. Na di big limit de stɔp prɔgrɛshɔn dɛn we de dɔbul.Rid ɔl → ɔ yu gambul mɔnimɔniGambul mɔniƆl di mɔni we yu dɔn put asay fɔ ple. Fɔ manej yu gambul mɔni min fɔ disayd ɔmɔs pan am yu go risk fɔ ɛni bɛt ɛn fɔ ɛni sɛshɔn.Rid ɔl → kɔt de lɔs ɔl wetin yu dɔn bɛt te to da tɛm de.

stɛpbɛt mɔni (yunit)ɔl di risk te nawnɛt afta win
111+1
2120
3240
437−1
5512−2
6820−4
71333−7
82154−12
93488−20
1055143−33
1189232−54
12144376−88
Ɔl di risk te naw na ɔl wetin yu lɔs if ɛni bɛt na di lain lɔs. If wan yunit na $10, stɛp 11 na bɛt fɔ $890 ɛn yu dɔn lɔs $2,320 arɛdi. Nɛt afta win na di rizɔlt fɔ di strik if di bɛt na da stɛp de win afta ɛni wan we bin de bifo lɔs: wan win de tek bak di las tu lɔs nɔmɔ.

Rulɛt tebul limit dɛn

Aw sɛshɔn de luk?

Tek $10 bes ɛn et spin: L L W L L L W W. Di bɛt mɔni de go 10, 10, 20 (win, go bak tu, to stɛp 1), 10, 10, 20, 30 (win, go bak tu, to stɛp 2), 10 (win, go bak na di bigin). Lɔs: 10 + 10 + 10 + 10 + 20 = 60. Win: 20 + 30 + 10 = 60. Fayv lɔs, tri win, ɛn yu de lɛvul. Na dat mek pipul lɛk di sistɛm. Di kɔst de na di sem lain: i tek $120 bɛt fɔ rich de, ɛn ɛni dɔla we yu bɛt gɛt di kasino advantejmatematiksKasino advantejDi pat pan ɛni bɛt mɔni we di kasino de kip pan avrej: 2.70% na Yuropian rulɛt.Rid ɔl →.

Wetin mek yu go bak tu, ɛn nɔto wan?

Bikɔs wan win de pe fɔ ɛksakli tu lɔs. Ɛni nɔmba na di tu we de bifo am ad tugɛda, so win na 5 yunit de briŋ bak di 2 ɛn di 3 we yu lɔs jɔs bifo. Tink bɔt step: wan stɛp ɔp fɔ ɛni lɔs, tu stɛp dɔŋ fɔ ɛni win. Di stɛp we yu tinap pan na yu dɛt. Na stɛp 5 yu dɔn lɔs 7 yunit, na stɛp 8 yu dɔn lɔs 33, ɛn we yu de bak na di fɔs stɛp yu de lɛvul ɛksakli. Prɔfit de kam frɔm win na di fɔs stɛp nɔmɔ, wan yunit wan tɛm.

Wit win we nia bi ɔmɔs lɔs, tu stɛp fɔ wan de soŋ lɛk gud bagin, ɛn bɔku tɛm di step de rili kɛr yu bak dɔŋ. Di trik na se di stɛp dɛn de ay mɔ ɛn mɔ as yu de klaym. Tɛn win na di fɔs stɛp de gi 10 yunit. Tri lɔs na stɛp 6, 7 ɛn 8 de kɔst 8 + 13 + 21 = 42.

Tɛn Fibonacci sɛshɔn, $10 bes, $500 limitrizɔlt pan di bigin
+$1,180$0−$500+$930−$2500125250375500spinrizɔlt
1,000 sɛshɔn × 500 spin · vayolɛt p10/p25/p75/p90, layt blu midul valyu, 82 sampul we nɔ dak · muf pan di chat fɔ si di pasɛntayl dɛn fɔ wan spin
  • p10 −$500
  • p25 −$500
  • midul valyu −$500
  • p75 +$250
  • p90 +$920
1,000 sɛshɔn × 500 spin · di y-aksis kɔt frɔm di 1 to di 99 pasɛntayl (di ɛn dɛn −$500 to +$1,400) · 500 spin · $10 fɔs bɛt · ivin mɔni
Di klaym saful pas Martingale, di slayd lɔng pas we di lain rɔnawe.

Di Fibonacci sistɛm de wok?

Nɔ. Nɔto fɔ mek yu kɔmɔt wit prɔfit. Di kalkuleshɔn na di sem fɔ ɛni sistɛm: ɛni bɛt de lɔs 1/37 pan in bɛt mɔni pan avrej, so di ɔl lain de lɔs 1/37 pan ɔl wetin yu bɛt. Fɔ yuz di Fibonacci lain na rulɛt nɔ de chenj dat, bikɔs di wil de pe di sem ɔds ilɛk aw di chipmɔniChipTokɛn we min wan sɛt mɔni; yu put am na di bɛt tebul fɔ mek bɛt. Dɛn kin kɔl am bak: check.Rid ɔl → big. Fibonacci bɛt mɔni de go ɔp smɔl smɔl, so i de bɛt mɔ fɔ ɛni spin pas bɛt di sem mɔni ɔltɛmstratɛjiBɛt di sem mɔni ɔltɛmFɔ bɛt di sem mɔni ɛni spin. Na dis ɛni prɔgrɛshɔn de kɔmpia wit.Rid ɔl →, ɛn in lɔs we fɔ ɛkspɛktmatematiksLɔs we fɔ ɛkspɛktValyu we fɔ ɛkspɛkt tɛm ɔl di mɔni we yu bɛt; di avrej mɔni we yu de lɔs insay wan sɛshɔn ɔ wan tɛm.Rid ɔl → fɔ ɛni sɛshɔn ay pas. MartingalestratɛjiMartingalePrɔgrɛshɔn we de dɔbul di bɛt afta ɛni lɔs. Luk di Stratɛji pat fɔ si wetin i de du ɛn wetin i nɔ de du.Rid ɔl → de bɛt mɔ pas dat, ɛn i de lɔs mɔ.

Rulɛt stratɛji: bɛt di sem mɔni ɔltɛm

I sef pas Martingale?

I slo pas am, ɛn dat nɔto di sem tin. Fibonacci bɛt mɔni de gro lɛk 1.6× fɔ ɛni stɛp, nɔto 2×, so yu de rich $500 limit afta lɛk tɛn lɔs wan afta di ɔda frɔm $10 bes, nɔto siks. Dat mek di kliff nɔ de kam bɔku tɛm: tɛn ivin-mɔni lɔs wan afta di ɔda na (19/37)¹⁰ ≈ 0.13%, ɛn fɔ siks na (19/37)⁶ ≈ 1.8%. Bɔt di kliff ay pas bak, bikɔs yu dɔn bɛt mɔ mɔni pan di rod, ɛn wan win nɔ de pul am.

MartingaleFibonacci
aw di bɛt mɔni de gro fɔ ɛni lɔs×2×1.62
lɔs fɔ rich $500 frɔm $10610
p(da ɔmɔs lɔs de wan afta di ɔda)1.8%0.13%
ɔl wetin yu lɔs na di limit$630$2,320 (stɛp 1–11)
win we yu nid fɔ kɔba bak frɔm stɛp 713

Usay di nɔmba dɛn kɔmɔt?

Frɔm pazul bɔt rabit. Leonardo of Pisa, we pipul kam kɔl Fibonacci leta, put am na in Liber Abaci na 1202: bigin wit wan pe rabit, mek ɛni pe bɔn nyu pe ɛvri mɔnt frɔm in sɛkɔn mɔnt go, ɛn kɔnt di pe dɛn. Di ansa de go 1, 2, 3, 5, 8, 13. Nɔto in na di fɔs pɔsin we fɛn di rul. Indian lanɛd pipul dɛn we de stɔdi di rida fɔ pɔwɛm bin dɔn rayt am bifo: Singh (1985) de tres am go bak to Virahanka, bitwin 600 ɛn 800, ɛn dɔn to Gopala ɛn Hemachandra.

Nɔn pan dɛn nɔ bin de tink bɔt wil. Di sɔs dɛn we wi yuz ya nɔ se udat fɔs bɛt mɔni bay di lain. Wetin dɛn de sho na se in arithmɛtik ɛn di arithmɛtik fɔ rulɛt nɔ de mit ɛnitɛm: wan de se aw di bɛt mɔni de gro, di ɔda wan de se wetin ɛni bɛt de briŋ bak.

Leonardo of Pisa de kɔnt di pe rabit dɛn as ɛni rabit os de ful mɔ ɛn mɔ.

Ɔmɔs yu de lɔs afta lɔs strik?

Tu rul mek di tebul ɔp de izi fɔ chɛk. Afta n lɔs wan afta di ɔda, ɔl wetin yu lɔs na di (n + 2) Fibonacci nɔmba mayn 1, we de gi 1, 2, 4, 7, 12, 20 ɛn so so, ɛn di nɛks bɛt mɔni na di (n + 1) Fibonacci nɔmba. Bollman (2021) pruv di sem rizɔlt bay indakshɔn fɔ lain we bigin 1, 2, 3, we de shif ɛni nɔmba wan ples. Wit limit fɔ 500 yunit frɔm 1-yunit bigin, Martingale nɔ go ebul put in 10 bɛt, 512 yunit. Fibonacci go ebul put in 14 bɛt, 377 yunit, bɔt nɔto in 15, 610.

MartingaleFibonacci
di big bɛt pas ɔl ɔnda 500256 (9 bɛt)377 (14 bɛt)
lɔs wan afta di ɔda we de brok am914
yunit we yu dɔn lɔs bay da tɛm de511986
chans pan rɛd, frɔm wan spin0.25%0.0089%
1-yunit bigin, 500 yunit di mɔs, Yuropian wil.

Wetin de chenj pan dɔzin ɔ kɔlɔm?

Pan dɔzinbɛtDɔzin1–12, 13–24 ɔ 25–36, i de pe 2:1.Rid ɔl → ɔ kɔlɔmbɛtKɔlɔmTwɛlv nɔmba na wan kɔlɔm we tinap na di bɛt tebul, i de pe 2:1.Rid ɔl →, we de pe 2 to 1, yu nɔ nid fɔ go bak. Win wit bɛt mɔni F de pe 2F, we ɔltɛm big pas ɔl wetin yu lɔs bifo, so ɛni win de dɔn di lain wit prɔfit. Di prayz na se dɔzin de win 12 tɛm pan 37 nɔmɔ, so lɔng lɔs strik de apin bɔku bɔku mɔ: fɔtin dɔzin lɔs wan afta di ɔda de apin lɛk wan tɛm pan 242 tray, ɛn fɔ rɛdbɛtRɛdIvin-mɔni bɛt pan di 18 rɛd nɔmba. Na Frɛnch: rouge.Rid ɔl → na lɛk wan tɛm pan 11,000.

bɛtlɔs bifobɛt mɔninɛt afta win
101+2
211+1
322+2
443+2
575+3
6128+4
72013+6
83321+9
95434+14
108855+22

Ɛn if yu stɔp ɔnli afta tu win wan afta di ɔda?

Ɔda kayn de muv wan stɛp bifo afta ɛni spin, win ɔ lɔs, ɛn i de stɔp ɔnli afta tu win wan afta di ɔda. Wit n lɔs bifo di tu win, di prɔfit na di (n + 1) Fibonacci nɔmba plɔs 1: smɔl we di win dɛn kam ali, big pas dat we dɛn kam let, ɛn yu win am pan bɛt mɔni we dɔn gro fɔ mach. Tu win we kam ali ɔltɛm de kam wit smɔl bɛt mɔni; tu we kam let kin nid big bɛt ɛksakli na di tɛm we di sɛshɔn dɔn go wɔs pas ɔl.

lɔs bifo di tu winbɛt mɔni pan di las winprɔfit
01+2
12+2
23+3
35+4
48+6
513+9
621+14
734+22
Lain 1, 1, 2, 3, 5, 8… lɛk na dis pej.

Simulɛta · Fibonacci

2,000 sɛshɔn wit ivin-mɔni bɛt, we bigin wit $1,000 gambul mɔni.

Fɔs bɛt $10 · tebul limit $500 · 100 spin fɔ ɛni sɛshɔn

Distribyushɔn fɔ di sɛshɔn rizɔlt dɛnlɔs ← | → prɔfit
−$1,000$0+$410
put di maus pan wan ba · rɛd ba na sɛshɔn we lɔs, grin na di wan dɛn we win, di ba we nɔ dak tumɔs de pan $0
sɛshɔn we gɛt prɔfit
73.6%
midul valyu rizɔlt
+$150
avrej rizɔlt
−$70.64
lɔs ɔl
17.8%
5 pasɛntayl
−$1,000
midul valyu fɔ di mɔs mɔni we dɔn dɔn
−$330

Ɔmɔs tɛm lɔs strik kin kam

Ivin-mɔni bɛt pan wil wit wan ziro de lɔs 19 spin pan 37. Ɛni lain na di chans se ɔl di spin dɛn insay wan strik go lɔs, ɛn wetin Fibonacci pleya, we de muf wan stɛp pan di nɔmba lain afta ɛni lɔs, dɔn lɔs bay da tɛm de.

Fɔs bɛt
lɔs wan afta di ɔdachanslɛk 1 panwetin yu dɔn lɔs te nawnɛks bɛt
151.4%2$1$1
226.4%4$2$2
313.5%7$4$3
47.0%14$7$5
53.6%28$12$8
61.8%55$20$13
70.94%106$33$21
80.48%207$54$34
90.25%403$88$55
100.13%784$143$89
110.065%1527$232$144
120.034%2974$376$233
130.017%5792$609$377
140.0089%11279$986$610
150.0046%21965$1,596$987

Di chans na 19/37 we yu mɔltiplay bay insɛf wan tɛm fɔ ɛni lɔs, frɔm wan spin we yu pik. Lɔng sɛshɔn gɛt bɔku spin usay dis kayn strik kin bigin, so insay wan ivintɛm i izi fɔ apin pas aw wan lain de sho.

Kwɛstyɔn dɛn

“Fibonacci we tɔn bak” de?

Yɛs: go bifo afta win, go bak afta lɔs. I de biev lɛk ParolistratɛjiParoliPɔzitiv prɔgrɛshɔn: dɔbul afta yu win, bigin bak afta yu lɔs ɔ afta tri win wan afta di ɔda. Dɛn kin kɔl am bak: Martingale we tɔn bak.Rid ɔl → we slo pas.

Ple wit Mat

Tray dɛn yusɛf fɔs. Ɛni ansa de ayd; opin am we yu rɛdi.

  1. Ple di vɛshɔn we de muv wan stɛp pan di sikwɛns afta ɛni spin, win ɔ lɔs, ɛn stɔp afta tu win wan afta di ɔda: bɛt mɔni 1, 1, 2, 3, 5, 8 ɛn so so. Di fɔs fɔtin rizɔlt na W L W L L L W L L L W L L W. Usay yu de, ɛn wetin na di nɛks bɛt?

    Sho di ansa

    Ansa Yu de 22 yunitmɔniYunitDi bes bɛt mɔni we sistɛm ɔ pleya de wok wit. Dɛn de ɛksplen prɔgrɛshɔn wit yunit so dat i go wok na ɛni tebul.Rid ɔl → dɔŋ. Di nɛks bɛt na 610 yunit, ɛn if i win, di sɛshɔn go ɛnd wit 588 ɔp.

    Di bɛt mɔni dɛn na di fɔs fɔtin FibonaccistratɛjiFibonacciPrɔgrɛshɔn we de fala di sikwɛns 1, 1, 2, 3, 5, 8, 13…: wan stɛp bifo afta yu lɔs, tu stɛp bak afta yu win.Rid ɔl → nɔmba: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233 ɛn 377. Ad di win dɛn ɛn pul di lɔs dɛn: +1 −1 +2 −3 −5 −8 +13 −21 −34 −55 +89 −144 −233 +377 = −22.

    Di las rizɔlt na win, so wan mɔ win go ɛnd am. Di nɛks bɛt mɔni na 610: win go lɛf +588, lɔs go lɛf −632 ɛn nɛks bɛt mɔni fɔ 987.

    Di vɛshɔn ɔltɛm de ɛnd ɔp, bɔt ya i nid bɛt fɔ 610 yunit fɔ du dat. Wit di yuzhual rul, tu stɛp bak afta win, di sem fɔtin rizɔlt de lɛf yu jɔs 1 yunit dɔŋ wit nɛks bɛt fɔ 2. Bollman (2021), we bigin di sikwɛns wit 1, 2, 3, gɛt 1 dɔŋ ɛn nɛks bɛt fɔ 3. Di yuzhual rul dɛn de lɔs smɔl ya bikɔs ɛni win de pul di bɛt mɔni dɔŋ bak.

    spinbɛt mɔnirizɔlttɔtal te naw
    11Win+1
    21Lɔs0
    32Win+2
    43Lɔs−1
    55Lɔs−6
    68Lɔs−14
    713Win−1
    821Lɔs−22
    934Lɔs−56
    1055Lɔs−111
    1189Win−22
    12144Lɔs−166
    13233Lɔs−399
    14377Win−22
  2. Na di sem vɛshɔn, wetin mek n lɔs we tu win fala ɔltɛm de lɛf prɔfit we na di Fibonacci nɔmba na ples (n + 1) plus 1?

    Sho di ansa

    Ansa Di n lɔs dɛn ad to di Fibonacci nɔmba na ples (n + 2) mayns 1, ɛn di tu win na di nɛks tu nɔmba, we togɛda pas dat bay di nɔmba na ples (n + 1) plus 1.

    Rayt F₁, F₂, F₃ … fɔ 1, 1, 2, 3, 5 … Ɛni nɔmba na di sɔm fɔ di tu we de bifo am.

    Di lɔs dɛn: F₁ + F₂ + … + Fₙ. Ad 1 to da sɔm, ɛn rayt am as F₂, ɛn di sɔm de kɔlaps: F₂ + F₁ = F₃, dɔn F₃ + F₂ = F₄, ɛn so so, te di ful sɔm na Fₙ₊₂. So di lɔs dɛn ad to Fₙ₊₂ − 1.

    Di win dɛn na di nɛks tu bɛt mɔni, Fₙ₊₁ ɛn Fₙ₊₂. Prɔfit: Fₙ₊₁ + Fₙ₊₂ − (Fₙ₊₂ − 1) = Fₙ₊₁ + 1. Wit fɔ lɔs, dat na F₅ + 1 = 6 yunit.

Smɔl jok fɔ ɛz di maynd

Di gold reshyo mit di sayn fɔ di big bɛt pas ɔl.

Di gold reshyo mit di sayn fɔ di big bɛt pas ɔl.

Usay wi gɛt am frɔm

  1. RouletteDoc. Aw di stratɛji de ɛn ɛgzampul dɛn. https://roulettedoc.com/strategy/fibonacci
  2. Roulette77. Aw di stratɛji de ɛn ɛgzampul dɛn. https://roulette77.us/strategies/fibonacci
  3. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Chapta 13, rulɛt.
  4. Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed. Academic Press, 2013.
  5. Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette. CRC Press, 2021. Chapta 2, rulɛt.
  6. Sigler, L. E. Fibonacci’s Liber Abaci: A Translation into Modern English of Leonardo Pisano’s Book of Calculation. Springer, 2002. Chapta 12, di rabit prɔblɛm.
  7. Singh, P. The so-called Fibonacci numbers in ancient and medieval India. Historia Mathematica 12 (3), 1985, pej 229–244.
wi chɛk am 2026-09-28mɔdɛl: Yuropian, wan ziromɛtɔdɔlɔji ↗usay wi gɛt am frɔm ↗