Fibonacci rulɛti fɛɛrɛ
Fibonacci rulɛti fɛɛrɛ la, pari wari bɛ taa nin cogo la: 1, 1, 2, 3, 5, 8, 13… Ɲɛfɛ taa senkɔrɔ kelen bɔnɛ kɔfɛ, kɔfɛ segin senkɔrɔ fila sɔrɔ kɔfɛ.
A tɛ se munumunufɛn kɔrɔ; pari wari labɛn si tɛ se a kɔrɔ. A ka nɔgɔn ni Martingale ye, o de kosɔn a bɛ bɔnɛ tugunnen jan muɲu ka tɛmɛ sani a ka se dan ma, ani a bɛ segin a nɔ na dɔɔni dɔɔni. Bɔnɛ makɔnɔnen ye 2.70% kelen in ye pari wari bɛɛwariPari wari bɛɛWari bɛɛ min bilala pari la tulonsigi walima waati dɔ kɔnɔ, sɔrɔ minw seginna ka pari kɛ, olu jatelen. A tɔgɔ wɛrɛw: handle, action.A bɛɛ kalan → la.
Jate tugucogo bɛ dilan cogo min na
Jate kelen o kelen ye jate fila minw bɛ a ɲɛ, olu faralen ɲɔgɔn kan ye.
O la, 8 ni 13 kɔfɛ, 21 de bɛ na.
Jate kelen o kelen ja kɛ kare ye, kare bɛɛ bɛ kɛɲɛ ɲɔgɔn ma: kare kura o kura janya bɛ bɛn kare fila minw bɛ a ɲɛ, olu bilalen ɲɔgɔn kɛrɛ. Kurukuru naaninan kelen o kelen min bɛ kare kelen o kelen kɔnɔ, olu bɛɛ bɛ sira kelen kɛ min bɛ munumunu.
Jate tugucogo taama
Bɔnɛ bɛ taa kini fɛ jate kelen. Sɔrɔ bɛ segin kɔ jate fila.
Pari wariw ni jaabiw bɛ jate pari wari fɔlɔ inite la.
Fibonacci rulɛti fɛɛrɛ bɛ baara kɛ cogo di?
FibonaccifɛɛrɛFibonacciYɛlɛmali fɛɛrɛ min bɛ tugu jate taabolo 1, 1, 2, 3, 5, 8, 13… kɔ: sen kelen ɲɛfɛ bɔnɛ kɔfɛ, sen fila kɔfɛ sɔrɔ kɔfɛ.A bɛɛ kalan → jatew sɛbɛn: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144. U kelen o kelen ye a ɲɛfɛ jate fila faralen ɲɔgɔn kan ye. A daminɛ a fɔlɔ la ka pari kɛ o hakɛ initewariInitePari wari jukɔrɔ min na fɛɛrɛ walima tulonkɛla bɛ baara kɛ. Yɛlɛmali fɛɛrɛw bɛ ɲɛfɔ ni initew ye walasa u ka se ka kɛ tabali o tabali la.A bɛɛ kalan → na. Ni i tununna, taa senkɔrɔ kelen kininyanfan fɛ. Ni i sɔrɔla, segin senkɔrɔ fila numanyanfan fɛ, walima daminɛ yɔrɔ la ni yɔrɔ tɛ yen. Fɛɛrɛ bɛɛ ye o ye. Tabali bɛ senkɔrɔ kelen kelen musaka jira: bɔnɛ tugunnen min jɔra tabali dantabaliTabali danPari dan dɔgɔman ni dan belebele min sɔnna. Dan belebele de bɛ pari fila-fila yɛlɛmali fɛɛrɛw jɔ.A bɛɛ kalan → walima i ka tulon wariwariTulon wariWari bɛɛ min bilala kɛrɛfɛ tulon kama. Tulon wari ɲɛnabɔli ye ka latigɛ a hakɛ min bɛ se ka bila farati la pari kelen o kelen ani tulonsigi kelen o kelen na.A bɛɛ kalan → fɛ, o bɛ wari bilalen bɛɛ lajɛlen tunun.
Tulonsigi bɛ kɛ cogo di?
$10 daminɛ ta ani munumunuli seegin: T T S T T T S S. Pari wariw ye 10, 10, 20 ye (sɔrɔ, segin kɔ fila, senkɔrɔ 1 la), 10, 10, 20, 30 (sɔrɔ, segin kɔ fila, senkɔrɔ 2 la), 10 (sɔrɔ, segin daminɛ ma). Tununnen: 10 + 10 + 10 + 10 + 20 = 60. Sɔrɔlen: 20 + 30 + 10 = 60. Bɔnɛ duuru, sɔrɔ saba, i bɛ kelen na. O de bɛ mɔgɔw sama fɛɛrɛ in fɛ. A musaka bɛ sira kelen in kan: pari $120 de kɛra ka se yen, ani dɔrɔmɛ o dɔrɔmɛ min bilara, o bɛ kazino ka nafajatebɔKazino ka nafaPari wari kelen o kelen yɔrɔ min bɛ to kazino bolo cɛmancɛ la: 2.70% Erɔpu rulɛti la.A bɛɛ kalan → ta.
Mun na ka segin senkɔrɔ fila, a tɛ kelen ye?
Katuguni sɔrɔ kelen bɛ bɔnɛ fila yɛrɛ sara. Jate o jate ye a ɲɛfɛ fila faralen ɲɔgɔn kan ye, o de kosɔn sɔrɔ min kɛra inite 5 la, o bɛ 2 ni 3 segin minw tununna a ɲɛfɛ. A miiri i ko yɛlɛyɔrɔ: senkɔrɔ kelen sanfɛ bɔnɛ o bɔnɛ na, senkɔrɔ fila duguma sɔrɔ o sɔrɔ la. I lɔlen bɛ senkɔrɔ min kan, o ye i ka juru ye. Senkɔrɔ 5 la, inite 7 tununna i la, senkɔrɔ 8 la, 33 tununna i la, ani ni i seginna senkɔrɔ fɔlɔ kan, i bɛ kelen na yɛrɛ. Tɔnɔ bɛ bɔ sɔrɔ dɔrɔn de la senkɔrɔ fɔlɔ kan, inite kelen kelen.
Komi sɔrɔ hakɛ ni bɔnɛ hakɛ ka surun ɲɔgɔn na, senkɔrɔ fila kelen nɔ na i ko nafa. Ani waati caman, yɛlɛyɔrɔ bɛ segin duguma tiɲɛ na. Gɛlɛya ye ko senkɔrɔw bɛ janya i bɛ yɛlɛ cogo min. Sɔrɔ tan senkɔrɔ fɔlɔ kan bɛ inite 10 di. Bɔnɛ saba senkɔrɔ 6, 7 ani 8 kan bɛ 8 + 13 + 21 = 42 ta.
- p10 −$500
- p25 −$500
- mediyani −$500
- p75 +$250
- p90 +$920
Yala Fibonacci fɛɛrɛ bɛ baara kɛ wa?
Ayi. I ko tɔnɔ sɔrɔcogo, ayi. Jatebɔ ye kelen ye ni fɛɛrɛ tɔw bɛɛ ta ye: pari o pari bɛ a ka pari wari 1/37 tunun cɛmancɛ la, o de kosɔn jatew tugunnen bɛɛ bɛ wari bilalen bɛɛ 1/37 tunun. Fibonacci jatew baara kɛli rulɛti la t'o yɛlɛma, katuguni munumunufɛn bɛ sara hakɛ kelen di jetɔnwariJetɔnTaamasiyɛn min bɛ wari hakɛ latigɛlen dɔ jira, a bɛ bila pari kɛyɔrɔ kan ka pari kɛ. A tɔgɔ wɛrɛ: check.A bɛɛ kalan → bonya mana kɛ min o min. Fibonacci pari wari bɛ yɛlɛ dɔɔni dɔɔni, o de kosɔn a bɛ wari caman bila munumunuli kelen na ka tɛmɛ pari wari kelenfɛɛrɛPari wari kelenWari hakɛ kelen bila munumunuli bɛɛ la. Yɛlɛmali fɛɛrɛ bɛɛ bɛ sanga nin de ma.A bɛɛ kalan → kan, ani a ka bɔnɛ makɔnɔnenjatebɔBɔnɛ makɔnɔnenHakɛ makɔnɔnen siɲɛ pari wari bɛɛ; wari tununnen cɛmancɛ hakɛ tulonsigi walima waati dɔ kɔnɔ.A bɛɛ kalan → tulonsigi kelen na ka bon. MartingalefɛɛrɛMartingaleYɛlɛmali fɛɛrɛ min bɛ pari wari fila bɔnɛ kelen o kelen kɔfɛ. Fɛɛrɛw yɔrɔ lajɛ k'a dɔn a bɛ min kɛ ani a tɛ min kɛ.A bɛɛ kalan → bɛ wari caman bila ka tɛmɛ o kan, ani a bɛ tunun ka tɛmɛ o kan.
A farati ka dɔgɔ ni Martingale ta ye wa?
A ka suma, o tɛ kelen ye. Fibonacci pari wari bɛ caya 1.6× ɲɔgɔn senkɔrɔ kelen o kelen na, a tɛ 2× ye, o de kosɔn ni i ye $10 daminɛ, i bɛ se $500 dan ma bɔnɛ tan tugunnen ɲɔgɔn kɔfɛ, a tɛ wɔɔrɔ ye. O b'a to kulu tɛ sɔrɔ tuma caman: pari kelen-kelen bɔnɛ tan tugunnen ye (19/37)¹⁰ ≈ 0.13% ye, wɔɔrɔ ta ye (19/37)⁶ ≈ 1.8% ye. Nka kulu fana ka jan, katuguni wari caman bilara pari la sira kan, ani sɔrɔ kelen t'o tiɲɛni segin.
Jatew bɔra min?
Ka bɔ zɛnzɛnw kan ɲininkali dɔ la. Leonardo of Pisa, min tɔgɔ kɔfɛ ko Fibonacci, y'a sɛbɛn a ka Liber Abaci kɔnɔ san 1202 la: a daminɛ ni ɲɔgɔnna kelen ye, ɲɔgɔnna o ɲɔgɔnna ka ɲɔgɔnna kura bange kalo o kalo kabini a ka kalo filanan, ka ɲɔgɔnnaw jate. Jaabi bɛ taa 1, 2, 3, 5, 8, 13. A tɛ mɔgɔ fɔlɔ ye min ye sariya in sɔrɔ. Ɛndi dɔnnikɛlaw minw tun bɛ poyi sanjɛ ɲinini kɛ, olu tun y'a sɛbɛn ka kɔrɔ: Singh (1985) b'a nɔ tugu fo Virahanka ma, 600 ni 800 cɛ, ka tɛmɛ Gopala ni Hemachandra ma.
U si tun tɛ munumunufɛn miiri. Sɛbɛn minw kɛra baara ye yan, olu t'a fɔ jɔn ye wari bila pari la fɔlɔ ni jatew tugunnen in ye. U b'a jira ko a jatebɔ ni rulɛti jatebɔ tɛ ɲɔgɔn sɔrɔ abada: kelen b'a fɔ pari wari bɛ caya cogo min, dɔ kelen b'a fɔ pari wari o pari bɛ min segin.
Bɔnɛ tugunnen kɔfɛ, joli bɛ tunun?
Jatebɔ tiɲɛ fila b'a to tabali min bɛ sanfɛ, o lajɛli ka nɔgɔn. Bɔnɛ n tugunnen kɔfɛ, wari tununnen bɛɛ ye Fibonacci jate (n + 2)nan ye ni 1 bɔra a la, o bɛ 1, 2, 4, 7, 12, 20 di, ani pari wari nata ye Fibonacci jate (n + 1)nan ye. Bollman (2021) bɛ jaabi kelen in jira ni induksiyɔn ye jatew tugunnen dɔ kan min bɛ daminɛ 1, 2, 3 la, o bɛ jate kelen kelen bɔ a nɔ na yɔrɔ kelen. Ni dan ye inite 500 ye ka bɔ inite 1 daminɛ na, Martingale tɛ se k'a ka pari 10nan bila, inite 512. Fibonacci bɛ se k'a ka 14nan bila, inite 377, nka a tɛ se a ka 15nan ma, 610.
Mun bɛ yɛlɛma duzɛn walima kolɔn kan?
DuzɛnpariDuzɛn1–12, 13–24 walima 25–36, a sara ye 2:1 ye.A bɛɛ kalan → walima kolɔnpariKolɔnNimɔrɔ tan ni fila minw bɛ pari kɛyɔrɔ kolɔn jɔlen kelen kɔnɔ, a sara ye 2:1 ye.A bɛɛ kalan → kan, min sara ye 2 sara 1 kan ye, segin kɔ man kan. Sɔrɔ min kɛra pari wari F la, o bɛ 2F sara, o bɛ caya tuma bɛɛ ni a ɲɛfɛ wari tununnen bɛɛ ye, o de kosɔn sɔrɔ o sɔrɔ bɛ jatew tugunnen ban ni tɔnɔ ye. A sɔngɔ ye ko duzɛn bɛ sɔrɔ siɲɛ 12 dɔrɔn 37 la, o de kosɔn bɔnɛ tugunnen janw ka ca kosɛbɛ: duzɛn bɔnɛ tan ni naani tugunnen bɛ kɛ siɲɛ kelen ɲɔgɔn kɔrɔbɔli 242 la, bilenmanpariBilenmanPari kelen-kelen nimɔrɔ bilenman 18 kan. Faransi kan na: rouge.A bɛɛ kalan → ta ye siɲɛ kelen ɲɔgɔn ye 11,000 la.
Ni i bɛ dabila sɔrɔ fila tugunnen kɔfɛ dɔrɔn dun?
Cogo wɛrɛ dɔ bɛ taa ɲɛfɛ senkɔrɔ kelen munumunuli o munumunuli kɔfɛ, i sɔrɔla wo, i tununna wo, ka dabila sɔrɔ fila tugunnen kɔfɛ dɔrɔn. Ni bɔnɛ n kɛra sani sɔrɔ fila ka na, tɔnɔ ye Fibonacci jate (n + 1)nan ye ni 1 farala a kan: a ka dɔgɔ ni sɔrɔw nana joona, a ka bon ni u nana kɔfɛ, ani a sɔrɔla pari wari kan minw cayara ka bɛn o ma. Sɔrɔ fila minw nana joona, olu bɛ na pari wari fitininw kan tuma bɛɛ; minw nana kɔfɛ, olu bɛ se ka pari ba de ɲini o waati yɛrɛ min na tulonsigi juguyara kosɛbɛ.
Ladegelan · Fibonacci
Pari kelen-kelen tulonsigi 2,000, ka daminɛ ni tulon wari $1,000 ye.
Pari wari fɔlɔ $10 · tabali dan $500 · munumunuli 100 tulonsigi kelen o kelen na
Bɔnɛ tugutugu bɛ na tuma joli
Zero kelen munumunufɛn kan, pari kelen-kelen bɛ tunun munumunuli 19 la munumunuli 37 kɔnɔ. Sira kelen o kelen bɛ munumunuli tugutugulen dɔw bɛɛ tununni kɛli seko jira, ani Fibonacci tulonkɛla, min bɛ taa ɲɛ jate kelen jate tugucogo kan bɔnɛ o bɔnɛ kɔ, o ye min tunun fo o waati.
| bɔnɛ tugutugulenw | kɛli seko | ka surun 1 … kɔnɔ | tununnen fo sisan | pari nata |
|---|---|---|---|---|
| 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 |
Kɛli seko ye 19/37 ye, a sigira a yɛrɛ la siɲɛ kelen bɔnɛ kelen o kelen na, ka jate daminɛ munumunuli kelen latigɛlen na. Tulonsigi jan na, munumunuli caman bɛ yen yɔrɔ min na nin tugutugu ɲɔgɔn bɛ se ka daminɛ, o la wula kelen kɔnɔ, a kɛli seko ka bon kosɛbɛ ka tɛmɛ sira kelen ka jira kan.
Ɲininkaliw
Ɔwɔ: ɲɛfɛ sɔrɔ kɔfɛ, kɔfɛ bɔnɛ kɔfɛ. A bɛ kɛ i ko ParolifɛɛrɛParoliSɔrɔ kɔ yɛlɛmali: pari wari fila sɔrɔ kɔfɛ, ka segin daminɛ ma bɔnɛ kɔfɛ walima sɔrɔ saba ɲɔgɔn kɔ kɔfɛ. A tɔgɔ wɛrɛ: Martingale kɔsegilen.A bɛɛ kalan → min ka suma.
Ɲɛnajɛ ni jatebɔ ye
A kɛ i yɛrɛ ye fɔlɔ. Jaabi kelen kelen bɛɛ datugulen don; a da wuli ni i labɛnna.
Cogoya min bɛ taa sen kelen ɲɛfɛ jate sira kan munumunuli kelen o kelen kɔfɛ, i mana sɔrɔ walima ka tunun, ani a bɛ jɔ sɔrɔli fila ɲɔgɔn kɔ kɔfɛ, o tulon: pari wari 1, 1, 2, 3, 5, 8 ani a tɔ. Jaabi tan ni naani fɔlɔw ye S T S T T T S T T T S T T S ye. I bɛ min sisan, ani pari nata ye joli ye?
Jaabi jira
Jaabi I dɔgɔyara initewariInitePari wari jukɔrɔ min na fɛɛrɛ walima tulonkɛla bɛ baara kɛ. Yɛlɛmali fɛɛrɛw bɛ ɲɛfɔ ni initew ye walasa u ka se ka kɛ tabali o tabali la.A bɛɛ kalan → 22 la. Pari nata ye inite 610 ye, ani sɔrɔli tun na tulonsigi ban ni tɔnɔ 588 ye.
Pari wariw ye FibonaccifɛɛrɛFibonacciYɛlɛmali fɛɛrɛ min bɛ tugu jate taabolo 1, 1, 2, 3, 5, 8, 13… kɔ: sen kelen ɲɛfɛ bɔnɛ kɔfɛ, sen fila kɔfɛ sɔrɔ kɔfɛ.A bɛɛ kalan → jate tan ni naani fɔlɔw ye: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233 ani 377. Sɔrɔw fara ɲɔgɔn kan ka bɔnɛw bɔ: +1 −1 +2 −3 −5 −8 +13 −21 −34 −55 +89 −144 −233 +377 = −22.
Jaabi laban kɛra sɔrɔ ye, o la sɔrɔli kelen wɛrɛ b'a ban. Pari wari nata ye 610 ye: sɔrɔli bɛ +588 to, bɔnɛ bɛ −632 to ani pari wari nata 987.
Cogoya in bɛ ban ni tɔnɔ ye tuma bɛɛ, nka yan a mago bɛ inite 610 pari la walasa ka o kɛ. Sariya gansanw na, sen fila ka segin kɔ sɔrɔli kɔfɛ, o jaabi tan ni naani kelenw bɛ i to inite 1 dɔrɔn dɔgɔyalen na ni pari nata 2 ye. Bollman (2021), min bɛ jate sira daminɛ 1, 2, 3 la, o bɛ 1 dɔgɔyalen sɔrɔ ani pari nata 3. Sariya gansanw bɛ bɔnɛ dɔgɔya yan katuguni sɔrɔli kelen o kelen bɛ pari wariw jigin.
munumunulipari warijaabia bɛɛ lajɛlen sisan11S+121T032S+243T−155T−668T−14713S−1821T−22934T−561055T−1111189S−2212144T−16613233T−39914377S−22O cogoya kelen in na, mun na bɔnɛ n minw tugura ni sɔrɔli fila ye, olu bɛ tɔnɔ to tuma bɛɛ min ye Fibonacci jate (n + 1)nan ni 1 ye?
Jaabi jira
Jaabi Bɔnɛ n bɛɛ lajɛlen ye Fibonacci jate (n + 2)nan ye ni 1 bɔra a la, ani sɔrɔli fila ye jate fila nataw ye, minw faralen ɲɔgɔn kan bɛ tɛmɛ o kan ni jate (n + 1)nan ni 1 ye.
F₁, F₂, F₃ … sɛbɛn 1, 1, 2, 3, 5 … kama. Jate kelen kelen bɛɛ ye jate fila minw bɛ a ɲɛ, olu faralen ye.
Bɔnɛw: F₁ + F₂ + … + Fₙ. 1 fara o kan, k'a sɛbɛn i n'a fɔ F₂, a bɛ ɲɔgɔn ta: F₂ + F₁ = F₃, o kɔfɛ F₃ + F₂ = F₄, ani a tɔ, fo a bɛɛ lajɛlen ka kɛ Fₙ₊₂ ye. O la bɔnɛw bɛɛ lajɛlen ye Fₙ₊₂ − 1 ye.
Sɔrɔw ye pari wari fila nataw ye, Fₙ₊₁ ani Fₙ₊₂. Tɔnɔ: Fₙ₊₁ + Fₙ₊₂ − (Fₙ₊₂ − 1) = Fₙ₊₁ + 1. Ni bɔnɛ naani don, o ye F₅ + 1 = inite 6 ye.
Yɛlɛko
Sanu hakɛ ni pari belebele taamasiyɛn bɛ ɲɔgɔn sɔrɔ.
Kunnafoni sɔrɔyɔrɔw
- RouletteDoc. Fɛɛrɛ ɲɛfɔli ni misaliw.
- Roulette77. Fɛɛrɛ ɲɛfɔli ni misaliw.
- 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.