Ingamba za Roulette za Fibonacci
Mu ngamba za roulette za Fibonacci, amatega akurikira 1, 1, 2, 3, 5, 8, 13… Wigira imbere intambwe imwe nyuma yo gutsindwa, ugasubira inyuma intambwe ebyiri nyuma yo gutsinda.
Ntizitsinda uruziga; nta gahunda yo gutega ibikora. Zoroheje kurusha Martingale, bityo zihangana n'uruhererekane rurerure rw'ibihombo mbere yo kugera ku mbibi, kandi zigaruza buhoro kurushaho. Igihombo giteganyijwe ni 2,70% zimwe z'amafaranga yose yategeweamafarangaAmafaranga yose yategeweAmafaranga yose yategewe mu mukino umwe cyangwa mu gihe runaka, harimo n'intsinzi zongeye gutegwa. Nanone: handle, action.Soma byose →.
Uko uruhererekane rwubakwa
Buri mubare ni igiteranyo cy'imibare ibiri iwubanziriza.
Bityo nyuma ya 8 na 13 haza 21.
Shushanya buri mubare nka kare maze kare zijye hamwe: buri nshya ifite uburebure bungana n'ubw'izibiri ziyibanziriza zishyizwe iruhande rumwe. Igice cya kane cy'uruziga muri buri kare gihuzwa n'ibindi bigakora umuzenguruko.
Genda ku ruhererekane
Igihombo kijyana intambwe imwe iburyo. Intsinzi isubiza intambwe ebyiri inyuma.
Amatega n'ibisubizo biri mu nite z'itega ry'ibanze.
Uburyo bwa Fibonacci muri roulette bukora bute?
Andika imibare ya FibonacciingambaFibonacciUruhererekane rw'amatega rukurikiza urutonde 1, 1, 2, 3, 5, 8, 13…: intambwe imwe imbere nyuma yo gutsindwa, intambwe ebyiri inyuma nyuma yo gutsinda.Soma byose →: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144. Buri mubare ni igiteranyo cy'ibiri biwubanziriza. Tangirira ku wa mbere utege initeamafarangaIniteItega ry'ibanze uburyo cyangwa umukinnyi akoresha. Impererekane z'amatega zisobanurwa mu nite kugira ngo zikoreshwe ku meza ayo ari yo yose.Soma byose → zingana na wo. Watsindwa, wigira iburyo intambwe imwe. Watsinda, usubira ibumoso intambwe ebyiri, cyangwa ku ntangiriro niba nta mwanya uhari. Ubwo ni bwo buryo bwose. Imbonerahamwe yerekana icyo buri ntambwe itwara: uruhererekane rw'ibihombo ruhagarikwa n'imbibi z'amezaamezaImbibi z'amezaItega rito n'irinini byemewe. Imbibi zo hejuru ni zo zihagarika impererekane zikuba kabiri.Soma byose → cyangwa n'igishoro cyo gukinaamafarangaIgishoro cyo gukinaAmafaranga yose yashyizwe ku ruhande yo gukina. Gucunga igishoro ni ukwemeza ingano yacyo uzashyira mu kaga kuri buri tega no kuri buri mukino.Soma byose → cyawe rutakaza igiteranyo cy'ibyategewe byose kugeza icyo gihe.
Umukino uba umeze ute?
Fata itega ry'ibanze rya $10 n'amazunguruka umunani: H H T H H H T T (H = gutsindwa, T = gutsinda). Amatega aba 10, 10, 20 (intsinzi, usubira inyuma kabiri, ku ntambwe ya 1), 10, 10, 20, 30 (intsinzi, usubira inyuma kabiri, ku ntambwe ya 2), 10 (intsinzi, usubira ku ntangiriro). Ibyatakaye: 10 + 10 + 10 + 10 + 20 = 60. Ibyatsinzwe: 20 + 30 + 10 = 60. Ibihombo bitanu, intsinzi eshatu, kandi uri ku rugero rumwe. Ibyo ni byo bikurura abantu kuri ubu buryo. Ikiguzi kiri ku murongo umwe: byasabye amatega ya $120 kugira ngo ugere aho, kandi buri dolari ryategewe ritwara inyungu ya kazinoimibareInyungu ya kazinoIgice cya buri tega kazino igumana ku mpuzandengo: 2,70% muri roulette y'i Burayi.Soma byose →.
Kuki usubira inyuma intambwe ebyiri, aho kuba imwe?
Kubera ko intsinzi imwe yishyura ibihombo bibiri nyine. Buri mubare ni igiteranyo cy'ibiri biwubanziriza, bityo intsinzi ku nite 5 igaruza 2 na 3 byatakaye mbere yayo. Tekereza amadarajya: intambwe imwe uzamuka kuri buri gihombo, intambwe ebyiri umanuka kuri buri ntsinzi. Intambwe uhagazeho ni umwenda wawe. Ku ntambwe ya 5 uri mu gihombo cy'inite 7, ku ntambwe ya 8 uri mu gihombo cya 33, naho wasubira ku ntambwe ya mbere uba uri ku rugero rumwe nyine. Inyungu iva gusa ku ntsinzi zo ku ntambwe ya mbere, inite imwe imwe.
Kubera ko intsinzi zingana hafi n'ibihombo, intambwe ebyiri kuri imwe bisa n'amahirwe, kandi akenshi amadarajya agusubiza hasi. Ikibazo ni uko intambwe ziba ndende uko uzamuka. Intsinzi icumi ku ntambwe ya mbere zinjiza inite 10. Ibihombo bitatu ku ntambwe ya 6, 7 na 8 bitwara 8 + 13 + 21 = 42.
- p10 −$500
- p25 −$500
- mediane −$500
- p75 +$250
- p90 +$920
Ese uburyo bwa Fibonacci burakora?
Oya. Si uburyo bwo kurangiza uri mu nyungu. Imibare ni imwe na kuri buri buryo: buri tega ritakaza 1/37 by'ingano yaryo ku mpuzandengo, bityo uruhererekane rwose rutakaza 1/37 by'amafaranga yose yategewe. Gukoresha uruhererekane rwa Fibonacci muri roulette ntibibihindura, kuko uruziga rwishyura odds zimwe uko ingano ya jetoamafarangaJeto (chip)Jeto ihagarariye amafaranga angana atahinduka, ishyirwa ku mbonerahamwe y'amatega kugira ngo utege. Nanone: check.Soma byose → yaba ingana kose. Amatega ya Fibonacci agenda yiyongera, bityo ategwa byinshi kuri buri zunguruka kurusha gutega itega rihorahoingambaGutega itega rihorahoGutega amafaranga angana kuri buri zunguruka. Ni yo ngero buri ruhererekane rw'amatega rugereranywa na yo.Soma byose →, kandi igihombo giteganyijweimibareIgihombo giteganyijweAgaciro gateganyijwe gakubye amafaranga yose yategewe; igihombo mpuzandengo mu mukino umwe cyangwa mu gihe runaka.Soma byose → cyayo kuri buri mukino kiri hejuru. MartingaleingambaMartingaleUruhererekane rw'amatega rukuba itega kabiri nyuma ya buri gutsindwa. Reba igice cy'Ingamba umenye icyo rukora n'icyo rudakora.Soma byose → itega byinshi kurushaho, kandi igatakaza byinshi kurushaho.
Ese irizewe kurusha Martingale?
Iratinda, kandi ibyo si kimwe. Amatega ya Fibonacci yiyongera hafi ×1,6 kuri buri ntambwe aho kuba ×2, bityo imbibi za $500 zigerwaho nyuma y'ibihombo hafi icumi bikurikiranye uhereye ku itega ry'ibanze rya $10, aho kuba bitandatu. Ibyo bituma amanga aba gake: ibihombo icumi bikurikiranye ku matega yishyura kimwe ku kindi ni (19/37)¹⁰ ≈ 0,13%, ugereranyije na (19/37)⁶ ≈ 1,8% ku bihombo bitandatu. Ariko amanga na yo aba maremare, kuko byinshi biba byarategewe mu nzira, kandi intsinzi imwe ntiyabisubiza.
Iyi mibare ituruka he?
Ituruka ku gisakuzo cy'inkwavu. Leonardo w'i Pisa, nyuma wahimbwe Fibonacci, yagishyize mu gitabo cye Liber Abaci cyo mu 1202: tangira ufite inkwavu ebyiri, ureke buri nkwavu ebyiri zibyare izindi ebyiri buri kwezi uhereye ku kwezi kwazo kwa kabiri, hanyuma ubare imiryango. Igisubizo kiba 1, 2, 3, 5, 8, 13. Si we wabanje kubona iri tegeko. Abahanga bo mu Buhinde biga injyana y'imivugo bari barariyanditse mbere: Singh (1985) arirondora kugeza kuri Virahanka, hagati ya 600 na 800, hanyuma kuri Gopala na Hemachandra.
Nta n'umwe muri bo watekerezaga uruziga. Inkomoko zakoreshejwe hano ntizivuga uwabanje gutega amafaranga akurikije uru ruhererekane. Icyo zerekana ni uko imibare yarwo n'imibare ya roulette bitajya bihura: imwe ivuga uko amatega yiyongera, indi ivuga icyo buri tega rigarura.
Hatakara angahe nyuma y'uruhererekane rw'ibihombo?
Amahame abiri atuma imbonerahamwe iri hejuru yoroha kugenzura. Nyuma y'ibihombo n bikurikiranye, ibyatakaye byose ni umubare wa Fibonacci wa (n + 2) ukuyemo 1, bitanga 1, 2, 4, 7, 12, 20 n'ibindi, naho itega rikurikiraho ni umubare wa Fibonacci wa (n + 1). Bollman (2021) agaragaza igisubizo kimwe akoresheje induction ku ruhererekane rutangira 1, 2, 3, rwimura buri mubare umwanya umwe. Ku mbibi z'inite 500 uhereye ku nite 1, Martingale ntishobora gutega itega ryayo rya 10, inite 512. Fibonacci ishobora gutega irya 14, inite 377, ariko ntishobora irya 15, 610.
Ni iki gihinduka kuri dazeni cyangwa ku nkingi?
Kuri dazeniitegaDazeni1–12, 13–24 cyangwa 25–36, yishyura 2:1.Soma byose → cyangwa ku nkingiitegaInkingiImibare cumi n'ibiri iri mu nkingi imwe ihagaze ku mbonerahamwe y'amatega, yishyura 2:1.Soma byose →, byishyura 2 kuri 1, gusubira inyuma ntibikenewe. Intsinzi ku itega F yishyura 2F, buri gihe biruta ibyatakaye byose mbere yayo, bityo buri ntsinzi irangiza uruhererekane uri mu nyungu. Igiciro ni uko dazeni itsinda inshuro 12 gusa kuri 37, bityo uruhererekane rurerure rw'ibihombo ruba kenshi cyane: ibihombo cumi na bine bikurikiranye kuri dazeni biba hafi rimwe mu bigeragezo 242, ugereranyije na hafi rimwe mu 11.000 ku mutukuitegaUmutukuItega ryishyura kimwe ku kindi ku mibare 18 y'umutuku. Mu Gifaransa: rouge.Soma byose →.
Bite uramutse uhagaze gusa nyuma y'intsinzi ebyiri zikurikiranye?
Ubundi buryo bwigira imbere intambwe imwe nyuma ya buri zunguruka, watsinze cyangwa watsinzwe, bugahagarara gusa nyuma y'intsinzi ebyiri zikurikiranye. Habayeho ibihombo n mbere y'intsinzi ebyiri, inyungu ni umubare wa Fibonacci wa (n + 1) wongeyeho 1: nto iyo intsinzi ziza kare, nini iyo ziza bitinze, kandi itsindirwa ku matega yiyongereye mu rugero rumwe. Intsinzi ebyiri za kare ziza buri gihe ku matega mato; iza bitinze zishobora gusaba itega rinini nyine igihe umukino wagenze nabi kurusha ibindi.
Igerageza · Fibonacci
Imikino 2.000 y'amatega yishyura kimwe ku kindi uhereye ku gishoro cyo gukina cya $1.000.
Itega ry'ibanze $10 · imbibi z'ameza $500 · amazunguruka 100 kuri buri mukino
Uruhererekane rw'ibihombo ruza kangahe
Itega ryishyura kimwe ku kindi ku ruziga rufite zeru imwe ritsindwa amazunguruka 19 kuri 37. Buri murongo ni amahirwe y'uko amazunguruka runaka yose atsindwa, n'ibyo umukinnyi wa Fibonacci, utera intambwe imwe ku ruhererekane nyuma ya buri gihombo, aba amaze guhomba icyo gihe.
| ibihombo bikurikirana | amahirwe | hafi 1 kuri | ibyahombwe kugeza ubu | itega 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 |
Amahirwe ni 19/37 akubwe ubwayo rimwe kuri buri gihombo, ubaze uhereye ku izunguruka runaka. Umukino muremure ugira amazunguruka menshi uruhererekane nk'urwo rushobora gutangiriraho, bityo mu mugoroba umwe birashoboka cyane kurusha uko umurongo umwe ubyerekana.
Ibibazo
Yego: wigira imbere nyuma yo gutsinda, ugasubira inyuma nyuma yo gutsindwa. Yitwara nka ParoliingambaParoliUruhererekane rw'amatega rwiza: kuba kabiri nyuma yo gutsinda, gusubira ku ntangiriro nyuma yo gutsindwa cyangwa nyuma yo gutsinda gatatu gukurikiranya. Nanone: Martingale ihindukiye.Soma byose → itinda.
Kwishimisha n'Imibare
Banza ubigerageze ubwawe. Buri gisubizo kirapfunyitse; ugifungure igihe witeguye.
Kina verisiyo yimuka intambwe imwe ku ruhererekane nyuma ya buri zunguruka, waba watsinze cyangwa watsinzwe, kandi igahagarara nyuma y'intsinzi ebyiri zikurikiranye: amatega 1, 1, 2, 3, 5, 8 n'ibindi. Ibisubizo cumi na bine bya mbere ni T H T H H H T H H H T H H T (T = gutsinda, H = gutsindwa). Uhagaze he, kandi itega rikurikira ni irihe?
Erekana igisubizo
Igisubizo Uri munsi ho initeamafarangaIniteItega ry'ibanze uburyo cyangwa umukinnyi akoresha. Impererekane z'amatega zisobanurwa mu nite kugira ngo zikoreshwe ku meza ayo ari yo yose.Soma byose → 22. Itega rikurikira ni inite 610, kandi intsinzi yarangiza icyiciro uri hejuru ho 588.
Amatega ni imibare cumi n'ine ya mbere ya FibonacciingambaFibonacciUruhererekane rw'amatega rukurikiza urutonde 1, 1, 2, 3, 5, 8, 13…: intambwe imwe imbere nyuma yo gutsindwa, intambwe ebyiri inyuma nyuma yo gutsinda.Soma byose →: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233 na 377. Teranya intsinzi ukuremo ibihombo: +1 −1 +2 −3 −5 −8 +13 −21 −34 −55 +89 −144 −233 +377 = −22.
Igisubizo cya nyuma cyari intsinzi, bityo indi ntsinzi imwe irabirangiza. Itega rikurikira ni 610: intsinzi isiga +588, igihombo gisiga −632 n'itega rikurikira rya 987.
Verisiyo ihora irangira uri hejuru, ariko hano ikenera itega ry'inite 610 kugira ngo bigerweho. Ku mategeko asanzwe, intambwe ebyiri zisubira inyuma nyuma y'intsinzi, ibisubizo cumi na bine bimwe bigusiga uri munsi ho inite 1 gusa n'itega rikurikira rya 2. Bollman (2021), utangiza uruhererekane kuri 1, 2, 3, abona munsi ho 1 n'itega rikurikira rya 3. Amategeko asanzwe atakaza bike hano kuko buri ntsinzi isubiza amatega hasi.
izungurukaitegaigisubizoigiteranyo kigezweho11T+121H032T+243H−155H−668H−14713T−1821H−22934H−561055H−1111189T−2212144H−16613233H−39914377T−22Muri iyo verisiyo imwe, kuki ibihombo n bikurikiwe n'intsinzi ebyiri bihora bisiga inyungu ingana n'umubare wa (n + 1) wa Fibonacci wongeyeho 1?
Erekana igisubizo
Igisubizo Ibihombo n biteranye bingana n'umubare wa (n + 2) wa Fibonacci ukuyemo 1, kandi intsinzi ebyiri ni imibare ibiri ikurikira, iyo iteranye irenza icyo giteranyo umubare wa (n + 1) wongeyeho 1.
Andika F₁, F₂, F₃ … kuri 1, 1, 2, 3, 5 … Buri mubare ni igiteranyo cy'ibiri iwubanziriza.
Ibihombo: F₁ + F₂ + … + Fₙ. Ongera 1 kuri icyo giteranyo, uyandike nka F₂, maze kigabanuke: F₂ + F₁ = F₃, hanyuma F₃ + F₂ = F₄, n'ibindi, kugeza igiteranyo cyose kibaye Fₙ₊₂. Bityo ibihombo byose hamwe ni Fₙ₊₂ − 1.
Intsinzi ni amatega abiri akurikira, Fₙ₊₁ na Fₙ₊₂. Inyungu: Fₙ₊₁ + Fₙ₊₂ − (Fₙ₊₂ − 1) = Fₙ₊₁ + 1. Hamwe n'ibihombo bine, ni F₅ + 1 = inite 6.
Akanya k'urwenya
Igipimo cya zahabu gihura n'icyapa cy'itega ntarengwa.
Inkomoko
- RouletteDoc. Ibisobanuro by'ingamba n'ingero.
- Roulette77. Ibisobanuro by'ingamba n'ingero.
- 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.