Ingendo ya Fibonacci muri Ruleti
Mu ngendo ya Fibonacci muri ruleti, amahera y'itego akurikira 1, 1, 2, 3, 5, 8, 13… Igira imbere intambwe imwe inyuma y'igihombo, usubire inyuma zibiri inyuma y'itsinzi.
Ntitsinda uruziga; nta mugambi wo gutega ubishobora. Iroroshe kuruta Martingale, rero ihangana n'urukurikirane rurerure rw'ibihombo imbere yo gushika ku rugero, kandi isubiza buhoro kuruta. Igihombo citezwe ni 2,70% nyene vy'igiteranyo c'amategoamaheraIgiteranyo c'amategoIgiteranyo c'amahera yose yateze mu gihe c'ugukina canke mu kiringo, harimwo n'ivyatsinzwe vyongeye gutegwa. Kandi bita: handle, action.Soma vyose →.
Ukuntu urukurikirane rwubakwa
Igitigiri cose ni igiteranyo c'ivyo bibiri bigiye imbere.
Rero inyuma ya 8 na 13 haza 21.
Shushanya igitigiri cose nka kwadarato, kwadarato zirahurana: iyo yose nshasha ingana n'izibiri ziyiri imbere zishizwe iruhande rumwe. Igice c'umuzingi gica muri kwadarato yose gihurana gikora umuzingi uzunguruka.
Kurikira urukurikirane
Igihombo kigutera intambwe imwe iburyo. Itsinzi igusubiza inyuma intambwe zibiri.
Amahera y'itego n'ivyavuyemwo biharurwa mu bice vy'itego ry'intango.
Uburyo bwa Fibonacci muri ruleti bukora gute?
Andika ibitigiri vya Fibonacciingendo yo gutegaFibonacciIyongerekana rikurikira urukurikirane 1, 1, 2, 3, 5, 8, 13…: intambwe imwe imbere inyuma y'igihombo, intambwe zibiri inyuma inyuma y'itsinzi.Soma vyose →: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144. Kimwe cose ni igiteranyo c'ibibiri bigiteye imbere. Tangura ku ca mbere maze utege ibiceamaheraIgiceAmahera y'itego y'ishingiro uburyo canke umukinyi akoresha. Iyongerekana ridondorwa mu bice kugira ngo rikore ku meza ayo ari yo yose.Soma vyose → bingana na co. Uhomvye, wimuka intambwe imwe iburyo. Utsinze, wimuka intambwe zibiri ibubamfu, canke usubira mu ntango iyo nta kibanza gihari. Ubwo ni bwo buryo bwose. Urutonde rwerekana ico buri ntambwe itwara: urukurikirane rw'ibihombo ruhagarikwa n'urugero rw'amezaamezaUrugero rw'amezaItego ritoya n'irinini kuruta ayandi vyemewe. Urugero rwo hejuru ni rwo ruhagarika iyongerekana rikuba kabiri.Soma vyose → canke amahera yo gukinishaamaheraAmahera yo gukinishaAmahera yose yashizwe ku ruhande yo gukina. Gucunga amahera yo gukinisha ni uguhitamwo ayo ushobora gushira mu kaga kuri buri tego no kuri buri gihe c'ugukina.Soma vyose → yawe rutakaza igiteranyo c'ivyatezwe vyose gushika ubu.
Igihe c'ugukina gisa gute?
Fata $10 fatizo n'inzunguruka umunani: H H T H H H T T (H = igihombo, T = itsinzi). Amahera y'itego aba 10, 10, 20 (itsinzi, inyuma zibiri, ku ntambwe 1), 10, 10, 20, 30 (itsinzi, inyuma zibiri, ku ntambwe 2), 10 (itsinzi, gusubira mu ntango). Ivyatakaye: 10 + 10 + 10 + 10 + 20 = 60. Ivyatsinzwe: 20 + 30 + 10 = 60. Ibihombo bitanu, intsinzi zitatu, kandi uranganije. Ivyo ni vyo bikwega muri ubu buryo. Ikiguzi kiri ku murongo nyene: vyasavye amatego ya $120 kugira ushike aho, kandi buri dolari ryatezwe ritwara inyungu ya kazinoimibareInyungu ya kazinoIgice c'amahera y'itego kazino igumana ku mpuzandengo: 2,70% muri ruleti y'i Buraya.Soma vyose →.
Kubera iki gusubira inyuma zibiri, si imwe?
Kubera ko itsinzi rimwe ririha neza ibihombo bibiri. Buri gitigiri ni igiteranyo c'ibibiri bigiteye imbere, rero itsinzi ku bice 5 risubiza 2 na 3 vyatakaye imbere gato. Iyumvire ingazi: intambwe imwe uduga kuri buri gihombo, intambwe zibiri umanuka kuri buri tsinzi. Intambwe uhagazeko ni umwenda wawe. Ku ntambwe 5 uri munsi y'ibice 7, ku ntambwe 8 uri munsi ya 33, kandi usubiye ku ntambwe ya mbere uranganije neza. Inyungu iva gusa ku ntsinzi zo ku ntambwe ya mbere, igice kimwe kimwe.
Kubera ko intsinzi ziri hafi kungana n'ibihombo, intambwe zibiri ku ntambwe imwe bisa n'isoko ryiza, kandi akenshi ingazi zirasubiza hasi koko. Ingorane ni uko intambwe ziba ndende uko uduga. Intsinzi cumi ku ntambwe ya mbere zizana ibice 10. Ibihombo bitatu ku ntambwe 6, 7 na 8 bitwara 8 + 13 + 21 = 42.
- p10 −$500
- p25 −$500
- hagati −$500
- p75 +$250
- p90 +$920
Uburyo bwa Fibonacci burakora?
Oya. Si nk'uburyo bwo kurangiza wunguka. Iharura ni rimwe n'iry'uburyo bwose: buri tego ritakaza 1/37 y'amahera y'itego ryaryo ku mpuzandengo, rero urukurikirane rwose rutakaza 1/37 y'ivyatezwe vyose. Gukoresha urukurikirane rwa Fibonacci muri ruleti ntibihindura ivyo, kubera ko uruziga ruriha igipimo kimwe uko jetoniamaheraJetoniIkimenyetso gihagararira amahera adahinduka, gishirwa ku kibaho c'amatego kugira ngo utege. Kandi citwa: check.Soma vyose → yongana kwose. Amahera y'itego ya Fibonacci agenda aduga, rero itega vyinshi kuri buri kuzunguruka kuruta gutega amahera anganaingendo yo gutegaGutega amahera anganaGutega amahera angana kuri buri kuzunguruka. Ni urugero iyongerekana ryose rigereranywa na rwo.Soma vyose →, kandi igihombo citezweimibareIgihombo citezweAgaciro kitezwe gakubwe n'amahera yose yateze; ni amahera y'impuzandengo atakara mu gihe c'ugukina canke mu gihe runaka.Soma vyose → cayo kuri buri gihe c'ugukina ni kinini kuruta. Martingaleingendo yo gutegaMartingaleIyongerekana rikuba kabiri itego inyuma y'igihombo cose. Raba igice c'Ingendo zo gutega umenye ivyo bukora n'ivyo budakora.Soma vyose → itega vyinshi kuruta, kandi ihomba vyinshi kuruta.
Ifise umutekano kuruta Martingale?
Iratinda kuruta, kandi ivyo si kimwe. Amahera y'itego ya Fibonacci akura nka 1,6× kuri buri ntambwe aho kuba 2×, rero urugero rwa $500 rushikwako inyuma y'ibihombo nka cumi bikurikirana uhereye kuri $10 fatizo aho kuba bitandatu. Ivyo bituma umukore uboneka gake: ibihombo cumi vya rimwe kuri rimwe bikurikirana ni (19/37)¹⁰ ≈ 0,13%, ugereranije na (19/37)⁶ ≈ 1,8% ku bitandatu. Ariko umukore uba muremure kuruta, kubera ko vyinshi vyatezwe mu nzira, kandi itsinzi rimwe ntirikiza.
Ibitigiri biva he?
Biva ku kibazo c'urukwavu. Leonardo w'i Pisa, mu nyuma yitiriwe Fibonacci, yakishize mu gitabu ciwe Liber Abaci co mu 1202: tangura n'umugwi umwe w'urukwavu, ureke buri mugwi uvyare umugwi mushasha buri kwezi guhera ku kwezi kwawo kwa kabiri, maze uharure imigwi. Inyishu ni 1, 2, 3, 5, 8, 13. Si we wa mbere yabonye iryo tegeko. Abahinga b'Ubuhindi mu njyana y'ivyivugo bari barabyanditse imbere: Singh (1985) abikurikirana gushika kuri Virahanka, hagati ya 600 na 800, hanyuma kuri Gopala na Hemachandra.
Nta n'umwe muri bo yari afise uruziga mu muzirikanyi. Amasoko akoreshwa hano ntavuga uwa mbere yateze amahera akurikije urwo rukurikirane. Ivyo yerekana ni uko imibare yarwo n'imibare ya ruleti bitigera bihura: imwe ivuga ingene amahera y'itego akura, iyindi ivuga ico buri tego rigarura.
Hatakara angahe inyuma y'urukurikirane rw'ibihombo?
Amategeko abiri y'imibare yorohereza gusuzuma urutonde ruri hejuru. Inyuma y'ibihombo n bikurikirana, ivyatakaye vyose ni igitigiri ca Fibonacci ca (n + 2) gukuramwo 1, gitanga 1, 2, 4, 7, 12, 20 n'ibindi, kandi amahera y'itego akurikira ni igitigiri ca Fibonacci ca (n + 1). Bollman (2021) yemeza ivyo nyene akoresheje induction ku rukurikirane rutangura 1, 2, 3, bigatuma buri gitigiri cimuka ikibanza kimwe. Ku rugero rw'ibice 500 uhereye ku gice 1, Martingale ntishobora gushiraho itego ryayo rya 10, ibice 512. Fibonacci irashobora gushiraho irya 14, ibice 377, ariko si irya 15, 610.
Ni igiki gihinduka ku murwi canke ku nkingi?
Ku murwiitegoUmurwi1–12, 13–24 canke 25–36, riha 2:1.Soma vyose → canke ku nkingiitegoInkingiInomero cumi na zibiri ziri mu nkingi imwe ihagaze y'ikibaho c'amatego, riha 2:1.Soma vyose →, biriha 2 kuri 1, gusubira inyuma ntibikenewe. Itsinzi ku mahera y'itego F riha 2F, ivyo vyama biruta ivyatakaye vyose imbere yaryo, rero buri tsinzi rirangiza urukurikirane wunguka. Ikiguzi ni uko umurwi utsinda incuro 12 gusa muri 37, rero urukurikirane rurerure rw'ibihombo ruba kenshi cane: ibihombo cumi na bine vy'umurwi bikurikirana biba nk'incuro imwe mu bigeragezo 242, ugereranije n'incuro imwe muri 11.000 ku gitukuraitegoGitukuraItego rya rimwe kuri rimwe ku nomero 18 zitukura. Mu gifaransa: rouge.Soma vyose →.
Bigenda gute uhagaze gusa inyuma y'intsinzi zibiri zikurikirana?
Ubundi buryo bwimuka intambwe imwe imbere inyuma ya buri kuzunguruka, utsinze canke uhomvye, kandi buhagarara gusa inyuma y'intsinzi zibiri zikurikirana. Hariho ibihombo n imbere y'intsinzi zibiri, inyungu ni igitigiri ca Fibonacci ca (n + 1) wongeyeko 1: ntoya iyo intsinzi ziza kare, nini kuruta iyo ziza bitinze, kandi itsindirwa ku mahera y'itego yakuze bihuye. Intsinzi zibiri zije kare zama ziza ku mahera y'itego make; izije bitinze zirashobora gusaba itego rinini mu gihe nyene igihe c'ugukina kimeze nabi kuruta.
Igikoresho co kwigana · Fibonacci
Ibihe vyo gukina 2.000 vy'amatego ya rimwe kuri rimwe uhereye ku mahera yo gukinisha ya $1.000.
Itego ry'intango $10 · urugero rw'ameza $500 · ukuzunguruka 100 ku gihe c'ugukina
Ukuntu urukurikirane rw'ibihombo ruza kenshi
Itego rya rimwe kuri rimwe ku ruziga rwa zeru imwe rihomba mu kuzunguruka 19 kuri 37. Umurongo wose werekana ugushoboka ko inzunguruka zikurikirana zingana gutyo zose zihomba, n'ivyo umukinyi wa Fibonacci, aja intambwe imwe imbere mu rukurikirane inyuma y'igihombo cose, amaze guhomba gushika ico gihe.
| ibihombo bikurikirana | ugushoboka | nka 1 kuri | ivyahombye gushika ubu | itego rikurikira |
|---|---|---|---|---|
| 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 |
Ugushoboka ni 19/37 gukubwe nako ubwako incuro imwe kuri buri gihombo, guharurwa kuva ku kuzunguruka kumwe kwagenywe. Igihe c'ugukina kirekire kirimwo inzunguruka nyinshi aho urukurikirane nk'urwo rushobora gutangurira, rero mu mugoroba umwe birashoboka cane kuruta ivyo umurongo umwe werekana.
Ibibazo
Ego: imbere inyuma y'itsinzi, inyuma inyuma y'igihombo. Igenda nka Paroliingendo yo gutegaParoliIyongerekana ryemeza: kuba kabiri inyuma y'itsinzi, gusubira ku ntango inyuma y'igihombo canke inyuma y'itsinzi zitatu zikurikirana. Kandi bita: Martingale ihindukiye.Soma vyose → itinda kuruta.
Twinezwe n'Imibare
Banza ubigerageze wewe nyene. Inyishu yose irapfutse; yugurure igihe witeguye.
Kina ubwoko bwimuka intambwe imwe ku rukurikirane inyuma y'ukuzunguruka kwose, watsinze canke wahomvye, bugahagarara inyuma y'amatsinzi abiri akurikirana: amahera y'itego 1, 1, 2, 3, 5, 8 n'ibindi. Ivyavuyemwo cumi na bine vya mbere ni T H T H H H T H H H T H H T. Uri he, kandi itego rikurikira ni irihe?
Erekana inyishu
Inyishu Uri munsi ku biceamaheraIgiceAmahera y'itego y'ishingiro uburyo canke umukinyi akoresha. Iyongerekana ridondorwa mu bice kugira ngo rikore ku meza ayo ari yo yose.Soma vyose → 22. Itego rikurikira ni ibice 610, kandi itsinzi ryorangiza igihe c'ugukina uri hejuru ku 588.
Amahera y'itego ni ibitigiri cumi na bine vya mbere vya Fibonacciingendo yo gutegaFibonacciIyongerekana rikurikira urukurikirane 1, 1, 2, 3, 5, 8, 13…: intambwe imwe imbere inyuma y'igihombo, intambwe zibiri inyuma inyuma y'itsinzi.Soma vyose →: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233 na 377. Teranya amatsinzi ukuremwo ibihombo: +1 −1 +2 −3 −5 −8 +13 −21 −34 −55 +89 −144 −233 +377 = −22.
Icavuyemwo ca nyuma cari itsinzi, ku buryo irindi tsinzi rimwe rirangiza. Amahera y'itego akurikira ni 610: itsinzi risiga +588, igihombo gisiga −632 n'amahera y'itego akurikira ya 987.
Ubu bwoko bwama burangira uri hejuru, ariko hano bukenera itego ry'ibice 610 kugira ngo bishike. Ukurikije amategeko asanzwe, intambwe zibiri zisubira inyuma inyuma y'itsinzi, ivyavuyemwo nk'ivyo cumi na bine bigusiga uri munsi ku gice 1 gusa n'itego rikurikira rya 2. Bollman (2021), atangura urukurikirane kuri 1, 2, 3, aronka 1 munsi n'itego rikurikira rya 3. Amategeko asanzwe ahomba make hano kuko itsinzi ryose rimanura amahera y'itego.
ukuzungurukaamahera y'itegoivyavuyemwoigiteranyo kigenda11T+121H032T+243H−155H−668H−14713T−1821H−22934H−561055H−1111189T−2212144H−16613233H−39914377T−22Muri ubwo bwoko nyene, ni kubera iki ibihombo n bikurikiwe n'amatsinzi abiri vyama bisiga inyungu ingana n'igitigiri ca Fibonacci ca (n + 1) wongeyeko 1?
Erekana inyishu
Inyishu Ibihombo n biteranijwe bingana n'igitigiri ca Fibonacci ca (n + 2) ukuyemwo 1, kandi amatsinzi abiri ni ibitigiri bibiri bikurikira, hamwe birengeje ico ku gitigiri ca (n + 1) wongeyeko 1.
Andika F₁, F₂, F₃ … kuri 1, 1, 2, 3, 5 … Igitigiri cose ni iteranya ry'ibibiri bigiteye imbere.
Ibihombo: F₁ + F₂ + … + Fₙ. Ongera 1 kuri iryo teranya, uyandike nka F₂, rica rirasenyuka: F₂ + F₁ = F₃, hanyuma F₃ + F₂ = F₄, n'ibindi, gushika iteranya ryose ribaye Fₙ₊₂. Ku buryo ibihombo vyose hamwe ari Fₙ₊₂ − 1.
Amatsinzi ni amahera y'itego abiri akurikira, Fₙ₊₁ na Fₙ₊₂. Inyungu: Fₙ₊₁ + Fₙ₊₂ − (Fₙ₊₂ − 1) = Fₙ₊₁ + 1. Ufise ibihombo bine, ivyo ni F₅ + 1 = ibice 6.
Agakuru ko gutwenga
Igipimo c'inzahabu gihura n'icapa c'itego ntarengwa.
Aho Twakuye
- RouletteDoc. Insobanuro y'ingendo n'uturorero.
- Roulette77. Insobanuro y'ingendo n'uturorero.
- 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.