Okwengeziwe · Imfundo · imizuzu 7

I-roulette nemfundo yezibalo

Isondo le-roulette lenza kube lula ukucabanga ngamathuba. Nansi indlela yokulisebenzisa esifundweni ngaphandle kokukhuthaza ukugembula.

Impendulo emfushane

Imiphumela engamashumi amathathu nesikhombisa enamathuba alinganayo, izinkokhelo ezingaguquki, ukuzimela kokujikeleza, inani elilindelekile elaziwayo elingaphansi kweqanda kanye nomlando omude wabantu abakuqonda kabi. I-roulette ibonisa okulindelekile, ukuguquguqukaizibaloUkuguquguqukaIsilinganiso sokuthi imiphumela ihlakazeke kangakanani ezungeze inani elilindelekile. Kuphezulu ku-straight up, kuphansi ekubhejeni okulingana nemali.Funda konke →, umthetho wezinombolo ezinkuluizibaloUmthetho wezinombolo ezinkuluIsilinganiso semiphumela ezimele sisondela enanini elilindelekile njengoba inani lemizamo likhula.Funda konke →, iphutha lomgembuli, ukuhlolwa kwe-hypothesis nenkinga yosuku lokuzalwa kangcono kunezinhlamvu zemali noma amadayisi.

isikhala sesampula

37, ayalingana

imiqondo ehlanganisiwe

≥ 8

amathuluzi akule sayithi

amahhala, ku-browser

isifundo sokuqala

EV = −1/37, njalo

Kungani i-roulette

Uhlamvu lwemali lunemiphumela emibili kanti idayisi linemiphumela eyisithupha; kokubili kuncane kakhulu ukubonisa inkinga yosuku lokuzalwaizibaloInkinga yosuku lokuzalwaKudingeka abantu abangaki ngaphambi kokuthi ababili cishe babe nosuku lokuzalwa olufanayo, noma kudingeka ukujikeleza okungaki ngaphambi kokuthi inombolo cishe iphinde ivele. Esondweni elinamagodi angu-37, ukujikeleza okuyisi-8 kwanele ukuze amathuba adlule uhhafu.Funda konke → noma ukuhlolwa kwe-chi-squareilebhuUkuhlolwa kwe-chi-squareUkuhlolwa kwezibalo okuqhathanisa inani lokuwela igodi ngalinye okubonwe nelilindelekile elingu-n/37. Kusetshenziselwa ukunquma ukuthi isondo lichemile yini.Funda konke → ngendlela ehehayo. Iphakethe lamakhadi linenkumbulo. I-roulette inemiphumela engu-37 enamathuba alinganayo, izinkokheloimaliInkokheloLokho ukubheja okuwinile okubuyisayo, okushiwo ngokuthi “X ku-1” ngaphezu kwenani elibhejiwe elibuyiswayo.Funda konke → ezingaguquki ezenza okulindelekile kube yisibalo somugqa owodwa, ukuzimela ngenxa yokwakheka kwayo, nenzuzo yekhasino encane ngokwanele ukucasha eseshinini futhi enkulu ngokwanele ukubusa unyaka wonke. Futhi inamakhulu amabili eminyaka amaphutha abhaliwe okungawahlaziya.

Uhlamvu lwemali, idayisi namakhadi kunikeza indawo imiphumela engu-37 ye-roulette enamathuba alinganayo.

Ukuhlolwa kwe-chi-square

Uchungechunge lwezifundo

isifundoumqondoisibonelo se-rouletteithuluzi kule sayithi

1amathuba njengokubalap(ukubheja) = n/37Isibali samathuba

2okulindelekileEV = (n/37)(36/n − 1) − (37 − n)/37 = −1/37Umakhi wokubheja

3ukuzimela nomthetho wokuphindaphinda(18/37)² kokubomvu okubiliAmathuba ochungechunge ku-roulette

4okuphambene nokuthi “okungenani kanye”1 − (36/37)³⁷ = 63.7%Amathuba ku-roulette

5ukuguquguquka nokuchezuka okujwayelekileσ = 5.84 (i-straight up) ngokumelene no-1.00 (okubomvu), i-EV efanayoUkuguquguquka

6umthetho wezinombolo ezinkulu (nalokho ongakushongo)isilinganiso siyahlangana; isamba siyahlukanaUkuhlangana ngokuhamba kwesikhathi

7iphutha lomgembuliokumnyama okungu-26, ngo-1913Iphutha lomgembuli

8ukuhamba okungahleliwe nokuphelelwa yimaliifomula yokuphelelwa yimali komgembuliIsibali sengozi yokuphelelwa yimali

9ukuhlolwa kwe-hypothesisi-chi-square kumagodi angu-37Umhlaziyi wokuchema kwesondo

10inkinga yosuku lokuzalwaukuphindeka ekujikelezeni okungu-8, ku-56%Inkinga: Isondo losuku lokuzalwa

11ukulingisa kwe-Monte Carloamaseshini angu-10,000 ngomzuzwanaIsilingisi samasu

12kungani izinhlelo zihlulekaukuhlanganiswa kwamanani alindelekileUngayehlula yini i-roulette

Ukufundisa ngaphandle kokufundisa ukugembula

Sebenzisa imali yokudlala nomdlalo wokuzama, ongenayo imali yangempela ebhejwayo. Qala ngenani elilindelekileizibaloInani elilindelekileUmphumela ovamile ekubhejeni ngakunye esikhathini eside. U-−1/37 wenani elibhejwayo kukho konke ukubheja okujwayelekile kwaseYurophu.Funda konke → futhi uqhubeke ubuyela kulo: wonke umsebenzi uphetha ngokuthi “futhi inani elilindelekile lingu-−1/37 lenani elibhejiwe”. Sebenzisa izinhlelo njengezibonelo eziphikisayo kunokuba zibe yizindlela: umsebenzi ukuthola iphutha, futhi isilingisi senza iphutha libonakale ngemizuzwana. Faka umlando wabantu abalahlekelwa. Isifundo ukuthi izibalo ziyawina, okuphambene nesikhangiso.

Imisebenzi esebenzayo

Cela abafundi baqagele ukuthi kuzodingeka ukujikeleza okungaki ngaphambi kokuphindeka, bese bedlala umdlalo wokuzama kayishumi (inkinga yosuku lokuzalwa). Cela babhale “uhlelo” kusihleli samasu bese besebenzisa amaseshini angu-10,000 (ukuhlanganiswa kwamanani alindelekile). Cela babale amathubaizibaloAmathubaIthuba lomphumela, kusukela ku-0 kuya ku-1 noma ku-0% kuya ku-100%. Inombolo eyodwa: 1/37 = 2.70%.Funda konke → ochungechunge lwango-1913 bese kuba awochungechunge olwenzeka noma kuphi eminyakeni engamashumi amahlanu e-Monte Carlo (umehluko phakathi kwesenzakalo esithile nanoma yisiphi isenzakalo). Cela bathole igodiokokusebenzaIgodiEsinye sezikhala ezingu-37 ezinezinombolo ku-rotor. Kubuye kuthiwe: slot, cup.Funda konke → “elichemile” emlandweni wokujikeleza olungile bese bexuba idatha (ukuqhathanisa okuningi).

Ukuthi umuzwa wabafundi wenza iphutha ngokushesha kangakanani (ukuqagela okuvamile kwekilasi ngokumelene neqiniso)

ukujikeleza kuze kube nokuphindeka: ukuqagela ≈ 19, iqiniso 8

8 ngokumelene no-19

p(≥1 ukushaya ekujikelezeni okungu-37): ukuqagela 100%, iqiniso 63.7%

63.7% ngokumelene no-100%

p(okubomvu ngemuva kokubomvu oku-10): ukuqagela “kuncane”, iqiniso 48.65%

48.65%

amaseshini anenzuzo, i-Martingale: ukuqagela ≈ 95%, iqiniso ≈ 78%

78% ngokumelene no-95%

umphumela wesilinganiso, i-Martingale: ukuqagela “inzuzo”, iqiniso ukulahlekelwa

ukulahlekelwa

050100

Igebe ngalinye liyisifundo. Elokugcina liyisifundo sonke.

Ukufunda umlando wokujikeleza oshicilelwe Ukubaluleka kwesitatistiki

Kungani kuhlala ekhanda

Abafundi bakhumbula okumnyamaukubhejaMnyamaUkubheja okulingana nemali ezinombolweni ezimnyama eziyi-18. NgesiFulentshi: noir.Funda konke → okungu-26, isondo lika-Jagger, nomzuzu lapho isilingisi sabonisa uhlelo lwabo luhlulwa. Amathuba afundiswa ngendlela engabonakali ayakhohlwa kungakafiki isikhathi sokuhlolwa; isondo alikhohlwa. Umugqa wokuziphatha ucacile: fundisa izibalo ezenza umdlalo ube ukubheja okubi, usebenzisa umdlalo, futhi abafundi abazogembula kamuva okungenani bazokwazi intengo.

Abadlali be-roulette abadumile

Imibuzo

Ingabe kufanelekile kubafundi besikole?

Ngemali yokudlala nokucacisa ngokusobala ukuthi inzuzo yekhasinoizibaloInzuzo yekhasinoIngxenye yenani ngalinye elibhejwayo ikhasino eyigcinayo ngokwesilinganiso: ama-2.70% ku-roulette yaseYurophu.Funda konke → iyisifundo, yebo: izinhlelo eziningi zezifundo sezivele zisebenzisa amadayisi namalotho; i-roulette iyinguqulo ecebile yento efanayo.

Uthisha kufanele aqale ngaliphi ikhasi?

Inzuzo yekhasino ku-roulette, bese umdlalo wokuzama, bese Isilingisi samasu e-roulette.

Ingabe umdlalo wokuzama uphephile ekilasini?

Ayinayo imali yangempela, ayinawo ama-akhawunti futhi ayinazo izixhumanisi eziya kwabahlinzeki bokugembula.

Okokuhlekisa

Imiphumela engamashumi amathathu nesikhombisa, inzuzo yekhasino eyodwa, amakhulu amabili eminyaka amaphutha okufunda kuwo.

Imithombo

Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, uhlelo lwesi-3, 1968. Ukuphelelwa yimali komgembuli (gambler’s ruin), isahluko XIV.
Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Isahluko 13, i-roulette.

kubuyekezwe ngo-2026-09-28imodeli: yaseYurophu, iqanda elilodwaindlela yokusebenza ↗imithombo ↗