Fibonacci roulette ɔkwan
Fibonacci roulette ɔkwan no mu, bɛt sika di 1, 1, 2, 3, 5, 8, 13… akyi. Sɛ wohwere a, kɔ anim anammɔn baako; sɛ wodi nkonim a, san w'akyi anammɔn mmienu.
Ɛnni ntwahonan no so nkonim; bɛt nhyehyɛe biara nni so nkonim. Ɛyɛ brɛoo sene Martingale, ɛno nti ɛgyina ahwereɛ ntoatoasoɔ tenten mu kyɛ ansa na ɛduru ahyeɛ no so, na ɛsan nso gye ahwereɛ no brɛoo. Ahwereɛ a wɔhwɛ kwan no yɛ 2.70% koro no ara wɔ bɛt sika nyinaasikaBɛt sika nyinaaSika nyinaa a wɔde to bɛt wɔ agorɔ bere anaa bere bi mu, a nkonim sika a wɔsan de to ka ho. Wɔfrɛ no nso handle, action.Kenkan ne nyinaa → so.
Sɛdeɛ wɔyɛ ntoatoasoɔ no
Nɔma biara yɛ nɔma mmienu a ɛdi n'anim no nyinaa bom.
Enti 8 ne 13 akyi no, 21 na ɛba.
Twa nɔma biara sɛ ahinanan na ahinanan no bɛhyia afa ne afa: deɛ ɛyɛ foforɔ biara tenten te sɛ mmienu a ɛdi n'anim no a wɔde wɔn ahyɛ nkyɛn nkyɛn. Kurukuruwa nkyɛmu ɛnan mu baako a ɛtwa ahinanan biara mu no bɔ mu yɛ kyinhyia kwan.
Nantew ntoatoasoɔ no mu
Ahwereɛ de wo kɔ nifa anammɔn baako. Nkonim san wo akyi anammɔn mmienu.
Bɛt sika ne deɛ ɛfiri mu ba no wɔ bɛt a wofi ase no kyɛfa mu.
Ɛkwan bɛn so na Fibonacci roulette nhyehyɛe no yɛ adwuma?
Kyerɛw FibonacciɔkwanFibonacciBɛt nsakraeɛ ntoatoasoɔ a edi nɔma ntoatoasoɔ 1, 1, 2, 3, 5, 8, 13… akyi: anammɔn baako kɔ anim sɛ wohwere a, anammɔn mmienu san akyi sɛ wodi nkonim a.Kenkan ne nyinaa → nɔma no: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144. Emu biara yɛ mmienu a ɛdi n'anim no nyinaa bom. Fi deɛ edi kan no so hyɛ aseɛ na to kyɛfasikaKyɛfaBɛt sika a ɛwɔ ase a nhyehyɛe anaa agorɔfoɔ de yɛ adwuma. Wɔka bɛt nsakraeɛ ntoatoasoɔ ho asɛm wɔ kyɛfa mu sɛdeɛ ɛbɛyɛ a ɛbɛfata ɛpono biara.Kenkan ne nyinaa → dodoɔ saa. Sɛ wohwere a, kɔ wo nifa so anammɔn baako. Sɛ wodi nkonim a, kɔ wo benkum so anammɔn mmienu, anaa san kɔ ahyɛaseɛ no so sɛ kwan nni hɔ a. Ɛno ne nhyehyɛe no nyinaa. Nsɛm pon no kyerɛ deɛ anammɔn biara bɔ ka: ahwereɛ ntoatoasoɔ a ɛpono ahyeɛɛponoƐpono ahyeɛBɛt sika ase koraa ne soro koraa a wɔma kwan. Ahyeɛ soro no na ɛsiw mmɔho mmienu bɛt nsakraeɛ ntoatoasoɔ.Kenkan ne nyinaa → anaa wo agorɔ dwetiresikaAgorɔ dwetireSika a woayi asie nyinaa ama agorɔ. Agorɔ dwetire so hwɛ ne sɛ wobɛsi gyinaeɛ wɔ dodoɔ a wode bɛto asiane mu wɔ bɛt biara ne agorɔ bere biara mu.Kenkan ne nyinaa → twa ano no hwere sika a wode ato nyinaa kɔsi saa bere no.
Agorɔ bere bi te sɛn?
Fa $10 sɛ ahyɛaseɛ na kyinhyia nwɔtwe: L L W L L L W W. Bɛt sika no kɔ 10, 10, 20 (nkonim, san akyi mmienu, kɔ anammɔn 1 so), 10, 10, 20, 30 (nkonim, san akyi mmienu, kɔ anammɔn 2 so), 10 (nkonim, san kɔ ahyɛaseɛ). Ahwereɛ: 10 + 10 + 10 + 10 + 20 = 60. Nkonim: 20 + 30 + 10 = 60. Ahwereɛ enum, nkonim mmiɛnsa, na woayɛ pɛ. Ɛno na ɛma nhyehyɛe no yɛ fɛ wɔ nnipa ani so. Ne ka no nso wɔ hɔ ara: ɛgyee bɛt $120 ansa na woduruu hɔ, na dɔla biara a wode to no soa kasino mfasoɔakontaabuKasino mfasoɔBɛt sika biara mu kyɛfa a kasino no kora wɔ mfinimfini mu: 2.70% wɔ Yuropu roulette mu.Kenkan ne nyinaa → no.
Adɛn nti na wosan w'akyi mmienu, na ɛnyɛ baako?
Ɛfiri sɛ nkonim baako tua ahwereɛ mmienu pɛpɛɛpɛ. Nɔma biara yɛ mmienu a ɛdi n'anim no bom, ɛno nti nkonim wɔ kyɛfa 5 so de 2 ne 3 a wohweree ansa no san ba. Fa no sɛ atrapoe: anammɔn baako kɔ soro wɔ ahwereɛ biara akyi, anammɔn mmienu siane wɔ nkonim biara akyi. Anammɔn a wogyina so no ne ka a ɛda wo so. Wɔ anammɔn 5 so no, woahwere kyɛfa 7, wɔ anammɔn 8 so no, woahwere 33, na sɛ wosan ba anammɔn a edi kan no so a, woyɛ pɛpɛɛpɛ. Mfasoɔ firi nkonim a ɛba anammɔn a edi kan so nko ara mu, kyɛfa baako baako.
Sɛ nkonim ne ahwereɛ dodoɔ bɛn yɛ pɛ a, anammɔn mmienu ma baako te sɛ deɛ ɛyɛ adetɔ pa, na mpɛn pii no atrapoe no san de wo ba fam ampa. Asɛm no ne sɛ, sɛ woforo kɔ soro a, anammɔn no tenten. Nkonim du wɔ anammɔn a edi kan so ma kyɛfa 10. Ahwereɛ mmiɛnsa wɔ anammɔn 6, 7 ne 8 so bɔ 8 + 13 + 21 = 42 ka.
- p10 −$500
- p25 −$500
- mfinimfini nɔma −$500
- p75 +$250
- p90 +$920
Fibonacci nhyehyɛe no yɛ adwuma?
Dabi. Ɛnyɛ ɔkwan a wobɛfa so anya mfasoɔ. Akontaabu no yɛ pɛ ma nhyehyɛe biara: bɛt biara hwere ne bɛt sika no 1/37 wɔ mfinimfini mu, ɛno nti ntoatoasoɔ no nyinaa hwere sika a wode ato nyinaa 1/37. Sɛ wode Fibonacci ntoatoasoɔ di dwuma wɔ roulette mu a, ɛnsesa saa, ɛfiri sɛ ntwahonan no tua odds koro no ara a agorɔ sikasikaAgorɔ sikaAdeɛ a ɛgyina hɔ ma sika dodoɔ bi a ɛnsesa, a wode to bɛt nhyehyɛe no so de to bɛt. Wɔfrɛ no nso check.Kenkan ne nyinaa → no kɛseɛ mfa ho. Fibonacci bɛt sika kɔ soro brɛoo, ɛno nti ɛto sika pii wɔ kyinhyia biara mu sene sika pɛ a wɔto daaɔkwanSika pɛ a wɔto daaSika dodoɔ koro no ara a wode to bɛt kyinhyia biara. Ɛno ne gyinapɛn a wɔde bɛt nsakraeɛ ntoatoasoɔ biara toto ho.Kenkan ne nyinaa →, na n'ahwereɛ a wɔhwɛ kwanakontaabuAhwereɛ a wɔhwɛ kwanBoɔ a wɔhwɛ kwan bɔ bɛt sika nyinaa ho; ahwereɛ mfinimfini boɔ wɔ agorɔ bere anaa bere bi mu.Kenkan ne nyinaa → wɔ agorɔ bere biara mu no yɛ kɛseɛ. MartingaleɔkwanMartingaleBɛt nsakraeɛ ntoatoasoɔ a ɛbɔ bɛt no mmɔho mmienu ahwereɛ biara akyi. Hwɛ Akwan ɔfa no na hunu deɛ ɛyɛ ne deɛ ɛnyɛ.Kenkan ne nyinaa → de sika pii mpo sene saa to, na ɛhwere pii.
Ne ho tɔ sene Martingale?
Ɛkɔ brɛoo, na ɛno nyɛ asɛm koro no ara. Fibonacci bɛt sika nyini bɛyɛ 1.6× wɔ anammɔn biara so na ɛnyɛ 2×, ɛno nti firi $10 ahyɛaseɛ so no, woduru $500 ahyeɛ no so wɔ ahwereɛ bɛyɛ du a ɛdi so akyi, na ɛnyɛ nsia. Ɛno ma abotan ano no ba kakra. Sika pɛ ahwereɛ du a ɛdi so yɛ (19/37)¹⁰ ≈ 0.13%, na nsia deɛ yɛ (19/37)⁶ ≈ 1.8%. Nanso abotan ano no nso korɔn, ɛfiri sɛ wode sika pii ato ansa na woreduru hɔ, na nkonim baako ntumi nsiesie.
Ɛhe na nɔma no firi?
Ɛfiri adwene mu asɛmmisa bi a ɛfa adanko ho. Leonardo of Pisa, onipa a akyire yi wɔfrɛɛ no Fibonacci, de too n'adi wɔ ne Liber Abaci a ɛfiri afe 1202 mu: fi adanko baanu baako so hyɛ aseɛ, ma baanu biara nwo baanu foforɔ ɔbosome biara firi n'ɔbosome a ɛtɔ so mmienu so, na kan baanu no. Mmuaeɛ no kɔ 1, 2, 3, 5, 8, 13. Ɛnyɛ ɔno na odii kan huu mmara no. India nhomanimfoɔ a wɔsua anwensɛm nnyegyeeɛ kyerɛw too hɔ dada: Singh (1985) di n'akyi kɔ Virahanka so, wɔ 600 ne 800 ntam, na ɛno akyi kɔ Gopala ne Hemachandra so.
Wɔn mu biara anni ntwahonan wɔ n'adwene mu. Nsɛm farebae a yɛde di dwuma ha no nka onipa a ɔdii kan de sika too bɛt wɔ ntoatoasoɔ no so. Deɛ ɛkyerɛ deɛ ne sɛ, n'akontaabu ne roulette akontaabu nhyia da: baako ka sɛdeɛ bɛt sika no nyini, na baako nso ka deɛ bɛt biara san de ba.
Sika ahe na wohwere wɔ ahwereɛ ntoatoasoɔ akyi?
Nokorɛ mmienu ma ɛyɛ mmerɛ sɛ wobɛhwɛ nsɛm pon a ɛwɔ soro no mu. Ahwereɛ n a ɛdi so akyi no, sika a woahwere nyinaa yɛ Fibonacci nɔma a ɛtɔ so (n + 2) yi 1 firi mu, a ɛma 1, 2, 4, 7, 12, 20 ne deɛ ɛkeka ho, na bɛt sika a ɛdi hɔ yɛ Fibonacci nɔma a ɛtɔ so (n + 1). Bollman (2021) de induction kyerɛ sɛ mmuaeɛ koro no ara yɛ nokorɛ ma ntoatoasoɔ a ɛhyɛ aseɛ 1, 2, 3, a ɛtu nɔma biara kɔ anim baabi baako. Wɔ kyɛfa 500 ahyeɛ so a wofiri kyɛfa 1 so hyɛ aseɛ no, Martingale ntumi nto ne bɛt a ɛtɔ so 10, kyɛfa 512. Fibonacci tumi to ne bɛt a ɛtɔ so 14, kyɛfa 377, nanso ɛntumi nto ne deɛ ɛtɔ so 15, 610.
Ɛdeɛn na ɛsesa wɔ dumienu kuo anaa santen tee so?
Wɔ dumienu kuobɛtDumienu kuo1–12, 13–24 anaa 25–36, akatua 2:1.Kenkan ne nyinaa → anaa santen teebɛtSanten teeNɔma dumienu a ɛwɔ bɛt nhyehyɛe no santen tee baako mu, akatua 2:1.Kenkan ne nyinaa → a ɛtua 2 tia 1 so no, ɛnhia sɛ wosan w'akyi. Nkonim wɔ bɛt sika F so tua 2F, a ɛyɛ kɛseɛ daa sen deɛ wohweree ansa nyinaa, ɛno nti nkonim biara ma ntoatoasoɔ no ba awieeɛ a mfasoɔ wom. Ne ka ne sɛ dumienu kuo di nkonim mpɛn 12 pɛ wɔ 37 mu, ɛno nti ahwereɛ ntoatoasoɔ tenten ba mpɛn pii koraa: dumienu kuo ahwereɛ dunan a ɛdi so ba bɛyɛ mpɛn baako wɔ sɔhwɛ 242 mu, na kɔkɔɔbɛtKɔkɔɔSika pɛ bɛt wɔ nɔma kɔkɔɔ 18 no so. Franse kasa mu: rouge.Kenkan ne nyinaa → deɛ yɛ bɛyɛ mpɛn baako wɔ 11,000 mu.
Na sɛ wogyae bere a woadi nkonim mmienu a ɛdi so nko ara ɛ?
Ɔkwan foforɔ bi kɔ anim anammɔn baako wɔ kyinhyia biara akyi, sɛ wodi nkonim anaa wohwere, na ɛgyae bere a nkonim mmienu adi so nko ara. Sɛ ahwereɛ n ba ansa na nkonim mmienu no aba a, mfasoɔ no yɛ Fibonacci nɔma a ɛtɔ so (n + 1) ka 1 ho: ɛsua sɛ nkonim no ba ntɛm a, na ɛyɛ kɛseɛ sɛ ɛba akyire a, na wonya no wɔ bɛt sika a anyini sɛ ɛno. Nkonim mmienu a ɛba ntɛm no ba daa wɔ bɛt sika ketewa so; deɛ ɛba akyire no betumi ahia bɛt kɛseɛ pɛpɛɛpɛ wɔ bere a agorɔ bere no asɛe sen biara.
Sɔhwɛ agorɔ · Fibonacci
Agorɔ bere 2,000 a ɛyɛ sika pɛ bɛt a ɛfiri agorɔ dwetire $1,000 so.
Bɛt a wofi ase $10 · ɛpono ahyeɛ $500 · kyinhyia 100 wɔ agorɔ bere biara mu
Mprɛ dodoɔ a ahwereɛ ntoatoasoɔ ba
Sika pɛ bɛt wɔ hwee baako ntwahonan so hwere kyinhyia 19 wɔ 37 mu. Santen biara kyerɛ hokwan a ɛbɛma kyinhyia ntoatoasoɔ bi nyinaa ahwere, ne sika a Fibonacci agorɔfoɔ, a ɔkɔ anim anammɔn baako wɔ ntoatoasoɔ no mu ahwereɛ biara akyi, ahwere kɔsi saa bere no.
| ahwereɛ a ɛtoa so | hokwan | bɛyɛ 1 wɔ mu | ahwereɛ kɔsi seesei | bɛt a ɛdi so |
|---|---|---|---|---|
| 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 |
Hokwan no yɛ 19/37 a wɔde bɔ ne ho mmɔho mprɛ baako ahwereɛ biara mu, a wɔfiri kyinhyia baako bi so kan. Agorɔ bere tenten wɔ kyinhyia pii a ntoatoasoɔ a ɛte saa betumi afi ase, enti anwummerɛ mu no, ɛbɛtumi aba sene sɛdeɛ santen baako kyerɛ.
Nsɛmmisa
Aane: kɔ anim wɔ nkonim akyi, san w'akyi wɔ ahwereɛ akyi. Ɛyɛ te sɛ ParoliɔkwanParoliBɛt nsakraeɛ ntoatoasoɔ a ɛkɔ soro nkonim akyi: bɔ no mmɔho mmienu nkonim akyi, san fi ase ahwereɛ akyi anaa nkonim mmiɛnsa a ɛtoa so akyi. Wɔfrɛ no nso Martingale a ɛdane.Kenkan ne nyinaa → a ɛkɔ brɛoo.
Akontaabu ho anigyeɛ
Di kan yɛ eyinom ara wo ho. Wɔakata mmuaeɛ biara so; sɛ woasiesie wo ho a, bue no.
Di ɔkwan foforɔ a ɛkɔ anammɔn baako wɔ ntoatoasoɔ no so kyinhyia biara akyi, wodi nkonim anaa wohwere, na ɛgyina nkonim mmienu a ɛtoatoa so akyi: bɛt sika 1, 1, 2, 3, 5, 8 ne nea ɛkeka ho. Nea efi mu ba dunan a edi kan no yɛ N H N H H H N H H H N H H N. Ɛhe na wowɔ, na bɛt a ɛdi so no yɛ sɛn?
Kyerɛ mmuaeɛ no
Mmuaeɛ Woahwere kyɛfasikaKyɛfaBɛt sika a ɛwɔ ase a nhyehyɛe anaa agorɔfoɔ de yɛ adwuma. Wɔka bɛt nsakraeɛ ntoatoasoɔ ho asɛm wɔ kyɛfa mu sɛdeɛ ɛbɛyɛ a ɛbɛfata ɛpono biara.Kenkan ne nyinaa → 22. Bɛt a ɛdi so no yɛ kyɛfa 610, na nkonim bɛma agorɔ bere no awie wɔ 588 mfasoɔ mu.
Bɛt sika no yɛ FibonacciɔkwanFibonacciBɛt nsakraeɛ ntoatoasoɔ a edi nɔma ntoatoasoɔ 1, 1, 2, 3, 5, 8, 13… akyi: anammɔn baako kɔ anim sɛ wohwere a, anammɔn mmienu san akyi sɛ wodi nkonim a.Kenkan ne nyinaa → nɔma dunan a edi kan no: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233 ne 377. Ka nkonim no bom na yi ahwereɛ no fi mu: +1 −1 +2 −3 −5 −8 +13 −21 −34 −55 +89 −144 −233 +377 = −22.
Nea efi mu baeɛ a etwa to no yɛ nkonim, enti nkonim baako foforɔ bɛwie no. Bɛt sika a ɛdi so no yɛ 610: nkonim gyaw +588, ahwereɛ gyaw −632 ne bɛt sika a ɛdi so a ɛyɛ 987.
Saa ɔkwan foforɔ yi wie mfasoɔ mu daa, nanso ɛha deɛ ɛhwehwɛ bɛt a ɛyɛ kyɛfa 610 ansa na ayɛ saa. Mmara a ɛtaa yɛ no ase, anammɔn mmienu a ɛsan akyi wɔ nkonim akyi, nea efi mu ba dunan korɔ no ara gyaw wo wɔ kyɛfa 1 ahwereɛ pɛ mu na bɛt a ɛdi so yɛ 2. Bollman (2021), a ɔde 1, 2, 3 fi ntoatoasoɔ no aseɛ no, nya ahwereɛ 1 ne bɛt a ɛdi so a ɛyɛ 3. Mmara a ɛtaa yɛ no hwere kakraa bi wɔ ha ɛfiri sɛ nkonim biara twe bɛt sika no san ba fam.
kyinhyiabɛt sikadeɛ efi mu bane nyinaa kɔ so11N+121H032N+243H−155H−668H−14713N−1821H−22934H−561055H−1111189N−2212144H−16613233H−39914377N−22Wɔ ɔkwan foforɔ korɔ no ara mu no, adɛn nti na ahwereɛ n a nkonim mmienu di akyi gyaw mfasoɔ a ɛyɛ Fibonacci nɔma a ɛtɔ so (n + 1) ka 1 ho daa?
Kyerɛ mmuaeɛ no
Mmuaeɛ Ahwereɛ n no ka bom yɛ Fibonacci nɔma a ɛtɔ so (n + 2) yi 1 fi mu, na nkonim mmienu no yɛ nɔma mmienu a ɛdi so no, a sɛ wɔka bom a ɛboro saa so wɔ nɔma a ɛtɔ so (n + 1) ka 1 ho.
Kyerɛw F₁, F₂, F₃ … ma 1, 1, 2, 3, 5 … Nɔma biara yɛ nɔma mmienu a edi n'anim no nkabom.
Ahwereɛ no: F₁ + F₂ + … + Fₙ. Fa 1 ka saa nkabom no ho, a wokyerɛw no sɛ F₂, na ɛbɔ mu: F₂ + F₁ = F₃, afei F₃ + F₂ = F₄, na ɛkɔ so saa, kosi sɛ nkabom no nyinaa bɛyɛ Fₙ₊₂. Enti ahwereɛ no nyinaa yɛ Fₙ₊₂ − 1.
Nkonim no yɛ bɛt sika mmienu a ɛdi so no, Fₙ₊₁ ne Fₙ₊₂. Mfasoɔ: Fₙ₊₁ + Fₙ₊₂ − (Fₙ₊₂ − 1) = Fₙ₊₁ + 1. Sɛ ahwereɛ ɛnan wɔ hɔ a, ɛyɛ F₅ + 1 = kyɛfa 6.
Serew kakra
Sika kyɛfa a ɛyɛ fɛ (golden ratio) hyia bɛt a ɛyɛ kɛseɛ sen biara ho agyiraehyɛdeɛ.
Nsɛm fibea
- RouletteDoc. Ɔkwan no ho nkyerɛkyerɛmu ne nhwɛsoɔ.
- Roulette77. Ɔkwan no ho nkyerɛkyerɛmu ne nhwɛsoɔ.
- 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.