Isicwangciso se-Fibonacci kwi-roulette
Kwisicwangciso se-Fibonacci kwi-roulette, izixa zeebheji zilandela u-1, 1, 2, 3, 5, 8, 13… Yiya phambili ngenyathelo elinye emva kwelahleko, ubuye umva ngamabini emva kokuphumelela.
Asiloyisi ivili; akukho cebo lezixa zeebheji elinokulenza. Sithambile kune-Martingale, ngoko simelana noluhlu olude lweelahleko ngaphambi kokufika emdeni, kwaye sibuyisa kancinci. Ilahleko elindelekileyo yi-2.70% efanayo yesixa esipheleleyo esibhejiweyoimaliIsixa esipheleleyo esibhejiweyoIsixa esipheleleyo esibhejiweyo kwiseshoni okanye kwixesha elithile, kubalwa nemali ephumeleleyo ephinda ibhejwe. Kwakhona: handle, action.Funda yonke →.
Indlela uthotho olwakhiwa ngayo
Inani ngalinye sisimbuku samabini angaphambi kwalo.
Ngoko emva kuka-8 no-13 kulandela u-21.
Zoba inani ngalinye njengesikwere uze izikwere zingene ndawonye: esitsha ngasinye sinobude obulingana namabini angaphambili abekwe ecaleni. Ikota yesangqa enqumla isikwere ngasinye idibana ibe sisipili.
Hamba ngothotho
Ilahleko ihambisa inyathelo elinye ekunene. Ukuphumelela kubuyisela umva amanyathelo amabini.
Iibheji neziphumo zikwiiyunithi zebheji yesiseko.
Isebenza njani inkqubo ye-Fibonacci kwi-roulette?
Bhala amanani e-FibonacciisicwangcisoFibonacciUkunyuswa kweebheji okulandela uthotho 1, 1, 2, 3, 5, 8, 13…: inyathelo elinye phambili emva kokulahlekelwa, amanyathelo amabini umva emva kokuphumelela.Funda yonke →: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144. Ngalinye sisiphumo sokudibanisa amabini aphambi kwalo. Qala kwelokuqala uze ubheje ezo iiyunithiimaliIyunithiIbheji esisiseko esetyenziswa yinkqubo okanye ngumdlali. Ukunyuswa kweebheji kuchazwa ngeeyunithi ukuze kusebenze kuyo nayiphi na itafile.Funda yonke →. Ulahlekelwe, uye inyathelo elinye ngasekunene. Uphumelele, uye amanyathelo amabini ngasekhohlo, okanye ubuyele ekuqaleni ukuba akukho ndawo. Leyo yinkqubo iphela. Itheyibhile ibonisa oko kubizwa linyathelo ngalinye: uluhlu lweelahleko olunqunyulwa ngumda wetafileitafileUmda wetafileIbheji encinci nenkulu evumelekileyo. Ubuninzi yinto emisa ukunyuswa kweebheji okuphindaphindayo.Funda yonke → okanye yimali yakho yokudlalaimaliImali yokudlalaIsixa esipheleleyo esibekelwe ukudlala. Ulawulo lwemali yokudlala kukugqiba ukuba ingakanani kuyo oyibeka emngciphekweni kwibheji nganye nakwiseshoni nganye.Funda yonke → lulahla isiphumo sako konke okubhejiweyo ukuza kuthi ga ngoku.
Ijongeka njani iseshoni?
Thatha isiseko se-$10 nemijikelo esibhozo: L L W L L L W W (L = ilahleko, W = ukuphumelela). Izixa zeebheji zihamba ngolu hlobo: 10, 10, 20 (uphumelele, buyela umva ngamabini, kwinyathelo 1), 10, 10, 20, 30 (uphumelele, buyela umva ngamabini, kwinyathelo 2), 10 (uphumelele, buyela ekuqaleni). Okulahlekileyo: 10 + 10 + 10 + 10 + 20 = 60. Okuphunyeleleyo: 20 + 30 + 10 = 60. Iilahleko ezintlanu, ukuphumelela kathathu, kwaye ulingana. Lowo ngumtsalane wale nkqubo. Iindleko zikumgca omnye: kuthathe iibheji ezixabisa i-$120 ukufika apho, kwaye yonke idola ebhejiweyo ithwala inzuzo yekhasinoizibaloInzuzo yekhasinoIsabelo sebheji nganye esigcinwa yikhasino ngokomndilili: 2.70% kwi-roulette yaseYurophu.Funda yonke →.
Kutheni ubuyela umva ngamabini, ingabi linye?
Kuba ukuphumelela okukodwa kuhlawula kanye iilahleko ezimbini. Inani ngalinye sisiphumo sokudibanisa amabini aphambi kwalo, ngoko ukuphumelela kwiiyunithi ezi-5 kubuyisa ezi-2 nezi-3 ezilahleke kanye ngaphambili. Cinga ngezinyuko: inyathelo elinye phezulu kwilahleko nganye, amanyathelo amabini ezantsi ekuphumeleleni ngakunye. Inyathelo omi kulo lityala lakho. Kwinyathelo 5 uphantsi ngeeyunithi ezi-7, kwinyathelo 8 uphantsi ngezi-33, kwaye xa ubuyele kwinyathelo lokuqala ulingana kanye. Inzuzo ivela kuphela ekuphumeleleni kwinyathelo lokuqala, iyunithi enye ngexesha.
Xa ukuphumelela phantse kulingana neelahleko, amanyathelo amabini ngenye avakala ngathi sisaphulelo, kwaye ixesha elininzi izinyuko ziyabuyela ezantsi. Ingxaki kukuba amanyathelo ayaphakama njengoko unyuka. Ukuphumelela kalishumi kwinyathelo lokuqala kuzuza iiyunithi ezili-10. Iilahleko ezintathu kumanyathelo 6, 7 no-8 zibiza 8 + 13 + 21 = 42.
- p10 −$500
- p25 −$500
- umbindi −$500
- p75 +$250
- p90 +$920
Ingaba inkqubo ye-Fibonacci iyasebenza?
Hayi. Hayi njengendlela yokugqiba uphambili. Ukubala kuyafana nakuyo yonke inkqubo: ibheji nganye ilahla i-1/37 yesixa sayo ngokomndilili, ngoko uthotho lonke lulahla i-1/37 yayo yonke imali ebhejiweyo. Ukusebenzisa uthotho lwe-Fibonacci kwi-roulette akukutshintshi oko, kuba ivili lihlawula ii-odds ezifanayo nokuba bungakanani ubukhulu betshiphuimaliItshiphuUphawu olumele isixa esimiselweyo, olubekwa kwibhodi yokubheja ukwenza ibheji. Kwakhona: check.Funda yonke →. Izixa zeebheji ze-Fibonacci ziyanyuka kancinci, ngoko ibheja ngaphezulu ngomjikelo kunoko kwenziwa kukubheja ngokulinganayoisicwangcisoUkubheja ngokulinganayoUkubheja isixa esifanayo kuwo wonke umjikelo. Isiseko apho konke ukunyuswa kweebheji kuthelekiswa khona.Funda yonke →, kwaye ilahleko yayo elindelekileyoizibaloIlahleko elindelekileyoIxabiso elilindelekileyo liphindwe ngesixa esipheleleyo esibhejiweyo; isixa esiphakathi esilahlekayo kwiseshoni okanye kwixesha elithile.Funda yonke → ngeseshoni iphezulu. I-MartingaleisicwangcisoMartingaleUkunyuswa kweebheji okuphindaphinda ibheji emva kokulahlekelwa ngakunye. Bona icandelo lezicwangciso ukuze wazi oko ikwenzayo nengakwenziyo.Funda yonke → ibheja ngaphezulu kakhulu, kwaye ilahlekelwa ngaphezulu.
Ingaba ikhuseleke ngakumbi kune-Martingale?
Icotha ngakumbi, nto leyo engafaniyo. Izixa zeebheji ze-Fibonacci zikhula malunga ne-1.6× ngenyathelo endaweni ye-2×, ngoko umda we-$500 ufikelelwa emva kweelahleko ezimalunga neshumi ezilandelelanayo ukusuka kwisiseko se-$10 endaweni yezintandathu. Oko kwenza iliwa linqabe ngakumbi: iilahleko ezilishumi zemali elinganayo ngokulandelelana zi-(19/37)¹⁰ ≈ 0.13%, xa kuthelekiswa no-(19/37)⁶ ≈ 1.8% kwezintandathu. Kodwa iliwa likwaphakame ngakumbi, kuba kubhejwe imali eninzi endleleni eya apho, kwaye ukuphumelela okukodwa akukulungisi oko.
Avela phi la manani?
Kwiphazili engemivundla. ULeonardo wasePisa, kamva owabizwa ngokuba nguFibonacci, wayibeka kwincwadi yakhe ethi Liber Abaci yowe-1202: qala ngesibini esinye, vumela isibini ngasinye sivelise isibini esitsha inyanga nganye ukusukela kwinyanga yaso yesibini, uze ubale izibini. Impendulo ihamba ngolu hlobo: 1, 2, 3, 5, 8, 13. Wayengengowokuqala ukufumana lo mthetho. Abaphengululi baseIndiya besingqisho sezibongo babewubhale ngaphambili: uSingh (1985) uwulandelela ukuya kuVirahanka, phakathi kowama-600 nowama-800, emva koko kuGopala nakuHemachandra.
Akukho namnye kubo owayecinga ngevili. Imithombo esetyenziswe apha ayitsho ukuba ngubani owaqala ukubheja imali ngolu thotho. Into ezibonisayo kukuba izibalo zalo nezibalo ze-roulette azidibani: elinye lithi izixa zeebheji zikhula njani, elinye lithi isixa sebheji ngasinye sibuyisa ntoni.
Ingakanani imali elahlekayo emva koluhlu lweelahleko?
Izazisi ezimbini zenza kube lula ukujonga itheyibhile engentla. Emva kweelahleko ezingu-n ngokulandelelana imali iyonke elahlekileyo linani le-Fibonacci elikwindawo ye-(n + 2) thabatha u-1, nto leyo enika u-1, 2, 4, 7, 12, 20 njalo njalo, kwaye isixa sebheji esilandelayo linani le-Fibonacci elikwindawo ye-(n + 1). UBollman (2021) ungqina isiphumo esifanayo ngokungeniswa (induction) kuthotho oluqala ngo-1, 2, 3, olushenxisa inani ngalinye ngendawo enye. Kumda weeyunithi ezingama-500 ukusuka ekuqaleni ngeyunithi e-1, i-Martingale ayinakubeka ibheji yayo ye-10, iiyunithi ezingama-512. I-Fibonacci inokubeka eye-14, iiyunithi ezingama-377, kodwa hayi eye-15, ezingama-610.
Kutshintsha ntoni kwidazini okanye kwikholamu?
KwidaziniibhejiIdazini1–12, 13–24 okanye 25–36, ihlawula u-2:1.Funda yonke → okanye kwikholamuibhejiIkholamuAmanani alishumi elinambini kwikholamu enye ethe nkqo yebhodi yokubheja, ihlawula u-2:1.Funda yonke →, ehlawula u-2 ku-1, ukubuyela umva akufuneki. Ukuphumelela kwisixa sebheji F kuhlawula 2F, nto leyo esoloko ingaphezulu kwako konke okulahleke ngaphambili, ngoko konke ukuphumelela kugqiba uthotho uphambili. Ixabiso kukuba idazini iphumelela kali-12 kuphela kwangama-37, ngoko uluhlu olude lweelahleko luqheleke kakhulu: iilahleko ezilishumi elinesine zedazini ngokulandelelana zenzeka malunga nakanye kwiinzame ezingama-242, xa kuthelekiswa nakanye kwezimalunga ne-11,000 kobomvuibhejiObomvuIbheji yemali elinganayo kumanani ali-18 abomvu. NgesiFrentshi: rouge.Funda yonke →.
Kuthekani ukuba uyeka kuphela emva kokuphumelela kabini ngokulandelelana?
Olunye uhlobo luya phambili ngenyathelo elinye emva komjikelo ngamnye, nokuba uphumelele okanye ulahlekelwe, kwaye luyeka kuphela emva kokuphumelela kabini ngokulandelelana. Ngeelahleko ezingu-n ngaphambi kokuphumelela kabini, inzuzo linani le-Fibonacci elikwindawo ye-(n + 1) dibanisa u-1: incinci xa ukuphumelela kufika kwangoko, inkulu xa kufika emva kwexesha, kwaye iphunyelelwa ngezixa zeebheji ezikhule ngokufanayo. Isibini sokuphumelela kwangoko sihlala sifika kwizixa zeebheji ezincinci; esifika emva kwexesha sinokufuna ibheji enkulu kanye ngexesha apho iseshoni ihambe kakubi kakhulu.
Isilinganisi · Fibonacci
Iiseshoni ezi-2,000 zeebheji zemali elinganayo ukusuka kwimali yokudlala ye-$1,000.
Ibheji yesiseko $10 · umda wetafile $500 · imijikelo eyi-100 ngeseshoni
Uthotho lokulahlekelwa luza kangaphi
Ibheji yemali elinganayo kwivili elineqanda elinye ilahlekelwa kwimijikelo eli-19 kwengama-37. Umqolo ngamnye ngamathuba okuba uthotho olunikiweyo lwemijikelo lulahleke lonke, kunye noko umdlali we-Fibonacci, oya inyathelo elinye phambili kuthotho emva kwelahleko nganye, akulahlileyo ngelo xesha.
| ilahleko ngokulandelelana | amathuba | malunga ne-1 kwi | esele kulahlekile | ibheji elandelayo |
|---|---|---|---|---|
| 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 |
Amathuba ngu-19/37 ophindaphindwe ngokwawo kanye kwilahleko nganye, kubalwa ukusuka kumjikelo omnye onikiweyo. Iseshoni ende inemijikelo emininzi apho uthotho olunjalo lunokuqala khona, ngoko ngokuhlwa kunokwenzeka ngakumbi kunoko umqolo omnye ubonisa.
Imibuzo
Ewe: phambili emva kokuphumelela, umva emva kwelahleko. Iziphatha njenge-ParoliisicwangcisoParoliUkunyuswa kweebheji okuhle: phindaphinda emva kokuphumelela, uqale kwakhona emva kokulahlekelwa okanye emva kokuphumelela kathathu ngokulandelelana. Kwakhona: i-Martingale ebuyela umva.Funda yonke → ecothayo.
Ukonwaba ngezibalo
Qala uzizame ngokwakho. Isisombululo ngasinye sisongiwe; sivule xa ukulungele.
Dlala inguqulelo eshukuma inyathelo elinye kulandelelwano emva komjikelo ngamnye, nokuba uphumelele okanye ulahlekelwe, ize iyeke emva kokuphumelela kabini ngokulandelelana: iibheji 1, 1, 2, 3, 5, 8 njalo njalo. Iziphumo zokuqala ezilishumi elinesine zezi W L W L L L W L L L W L L W. Ume phi, kwaye yeyiphi ibheji elandelayo?
Bonisa isisombululo
Impendulo Ungaphantsi ngeeyunithiimaliIyunithiIbheji esisiseko esetyenziswa yinkqubo okanye ngumdlali. Ukunyuswa kweebheji kuchazwa ngeeyunithi ukuze kusebenze kuyo nayiphi na itafile.Funda yonke → ezingama-22. Ibheji elandelayo ziiyunithi ezingama-610, kwaye ukuphumelela bekuya kuphelisa iseshoni uphezulu ngama-588.
Iibheji ngamanani okuqala alishumi elinesine e-FibonacciisicwangcisoFibonacciUkunyuswa kweebheji okulandela uthotho 1, 1, 2, 3, 5, 8, 13…: inyathelo elinye phambili emva kokulahlekelwa, amanyathelo amabini umva emva kokuphumelela.Funda yonke →: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233 no-377. Dibanisa ukuphumelela uze uthabathe ilahleko: +1 −1 +2 −3 −5 −8 +13 −21 −34 −55 +89 −144 −233 +377 = −22.
Isiphumo sokugqibela yayikukuphumelela, ngoko ukuphumelela okunye ngaphezulu kuyayiphelisa. Ibheji elandelayo yi-610: ukuphumelela kushiya +588, ilahleko ishiya −632 nebheji elandelayo ye-987.
Inguqulelo isoloko iphela uphambili, kodwa apha idinga ibheji yeeyunithi ezingama-610 ukwenza oko. Ngemithetho eqhelekileyo, amanyathelo amabini ngasemva emva kokuphumelela, iziphumo ezifanayo ezilishumi elinesine zikushiya ungaphantsi ngeyunithi e-1 kuphela nebheji elandelayo ye-2. UBollman (2021), oqala ulandelelwano ngo-1, 2, 3, ufumana u-1 ngaphantsi nebheji elandelayo ye-3. Imithetho eqhelekileyo ilahlekelwa kancinci apha kuba ukuphumelela ngakunye kubuyisela iibheji ezantsi.
umjikeloibhejiisiphumoisixa esiqhubekayo11W+121L032W+243L−155L−668L−14713W−1821L−22934L−561055L−1111189W−2212144L−16613233L−39914377W−22Kwinguqulelo efanayo, kutheni ilahleko eziyi-n zilandelwa kukuphumelela kabini zihlala zishiya inzuzo yenani le-(n + 1) le-Fibonacci kunye no-1?
Bonisa isisombululo
Impendulo Ilahleko eziyi-n zidibana zibe linani le-(n + 2) le-Fibonacci thabatha u-1, kwaye ukuphumelela kabini ngamanani amabini alandelayo, athi xa edityanisiwe adlule loo nto ngenani le-(n + 1) kunye no-1.
Bhala F₁, F₂, F₃ … ku-1, 1, 2, 3, 5 … Inani ngalinye sisixa samabini angaphambi kwalo.
Ilahleko: F₁ + F₂ + … + Fₙ. Yongeza u-1 kweso sixa, ubhalwe njengo-F₂, kwaye siyawa: F₂ + F₁ = F₃, emva koko F₃ + F₂ = F₄, njalo njalo, de sonke isixa sibe nguFₙ₊₂. Ngoko ilahleko zizonke zingu-Fₙ₊₂ − 1.
Ukuphumelela ziibheji ezimbini ezilandelayo, Fₙ₊₁ no-Fₙ₊₂. Inzuzo: Fₙ₊₁ + Fₙ₊₂ − (Fₙ₊₂ − 1) = Fₙ₊₁ + 1. Ngelahleko ezine, loo nto ingu-F₅ + 1 = 6 weeyunithi.
Uncumo
Umlinganiselo wegolide udibana nophawu lwebheji enkulu kunazo zonke.
Imithombo
- RouletteDoc. Strategy description and examples.
- Roulette77. Strategy description and examples.
- 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.