Imibare ya Roulette · Igitekerezo cy'ingenzi · iminota 8

Inyungu ya Kazino muri Roulette

Igice cya buri tega kazino igumana ku mpuzandengo.

Igisubizo kigufi

Roulette y'i Burayi: 2,70% kuri buri tega risanzwe, kuko ubwishyu bubarwa nk'aho hari utuzu 36 kandi hari 37.

Iy'i Burayi

2,70%

Iy'Abanyamerika

5,26%

kimwe ku kindi iy'Igifaransa

1,35%

kuri buri $1.000 ritegewe

$27,03

Uko ibarwa

Odds ziboneye kuri straight upitegaStraight upUmubare umwe, yishyura 35:1.Soma byose → zaba 36 kuri 1, kuko hari inzira 36 zo gutsindwa kuri buri nzira imwe yo gutsinda. Kazino yishyura 35 kuri 1. Iyo niteamafarangaIniteItega ry'ibanze uburyo cyangwa umukinnyi akoresha. Impererekane z'amatega zisobanurwa mu nite kugira ngo zikoreshwe ku meza ayo ari yo yose.Soma byose → ibura, igabanyijwe mu bisubizo 37 bifite amahirwe angana, ni 1/37 = 2,70% by'itega kuri buri zunguruka. Ubwo bubura bugaragara muri buri bwishyuamafarangaUbwishyuIbyo itega ryatsinze rigarura, bivugwa nka “X kuri 1” hiyongereyeho itega rigarurwa.Soma byose → kuko buri bwishyu bukoresha itegeko rya 36/n − 1: splititegaSplitImibare ibiri yegeranye, yishyura 17:1.Soma byose → yishyura 17 aho kuba 17,5, dazeniitegaDazeni1–12, 13–24 cyangwa 25–36, yishyura 2:1.Soma byose → 2 aho kuba 2,083, umutukuitegaUmutukuItega ryishyura kimwe ku kindi ku mibare 18 y'umutuku. Mu Gifaransa: rouge.Soma byose → 1 aho kuba 1,056. Icyo kinyuranyo buri gihe ni inite 1/n kuri buri ntsinzi, n'intsinzi n/37 kuri buri zunguruka, bityo buri gihe ni 1/37 kuri buri zunguruka.

Ubwishyu bwa kazino ugereranyije n'ubwishyu buboneyeubwishyu, kuri 1

Straight up (1/37)

35:1

Split (2/37)

17:1

Street (3/37)

11:1

Inguni (4/37)

8:1

Six line (6/37)

5:1

Dazeni / inkingi (12/37)

2:1

Kimwe ku kindi (18/37)

1:1

ubwishyu, kuri 1

017,5035:1

Buboneye = 37/n − 1. Bwishyuwe = 36/n − 1. Icyo kinyuranyo, inite 1/n kuri buri ntsinzi gukuba intsinzi n/37 kuri buri zunguruka, ni 1/37 y'itega kuri buri tega.

Inyungu ya kazino ugereranyije na hold

Inyungu ya kazino ni igihombo giteganyijweimibareIgihombo giteganyijweAgaciro gateganyijwe gakubye amafaranga yose yategewe; igihombo mpuzandengo mu mukino umwe cyangwa mu gihe runaka.Soma byose → kuri buri nite itegewe: 2,70% kuri buri zunguruka. HoldamafarangaHoldIgice cy'amafaranga abakinnyi bazana ku meza kazino igumana koko. Kiruta inyungu ya kazino kuko ayatsinzwe yongera gutegwa.Soma byose → ni icyo kazino igumana koko ku mafaranga wazanye ku meza, kandi iruta cyane kuko wongera gutega intsinzi zawe. Kugura amajetoamezaKugura amajetoKuvunjisha amafaranga mo amajeto ku meza. Bikorwa hagati y'amazunguruka, amafaranga ashyirwa ku mbonerahamwe y'amatega aho guhereza kurupiye mu ntoki.Soma byose → kwa $100 gutegwa $10 icyarimwe mu mazunguruka 200 kuba kwategewe $2.000 kandi kwishyuye hafi $54 by'inyungu ya kazino; hold kuri ayo majeto yaguzwe ni 54%. Kazino zitangaza hold; abakinnyi bakwiye gutekereza mu nyungu ya kazino.

igisobanuroumubare usanzwe muri roulette

Inyungu ya kazinoigihombo giteganyijwe ÷ amafaranga yategewe2,70%

RTP1 − inyungu ya kazino97,30%

Holdintsinzi ya kazino ÷ amajeto yaguzwe20–30% muri kazino, bihindagurika

Intsinzi y'ibarurainyungu ya kazino × itega ry'impuzandengo × amazungurukaicyo ibihembo bya kazino (comps) bishingiraho

Kuki buri tega rifite inyungu ya kazino imwe

Ni amahitamo y'igishushanyo cy'umukino, si impanuka. Itegeko rya 36/n − 1 ryashyizweho mu kinyejana cya 18 kandi zeru ebyiriubwokoZeru ebyiriAkazu ka 00 k'uruziga rw'Abanyamerika. Kuba gahari bizamura inyungu ya kazino kuva kuri 2,70% kugeza kuri 5,26%.Soma byose → yakuweho nyuma hatagize igikorwa ku bwishyu. Iyo ubwishyu buba buboneye ku tuzuibikoreshoAkazuKamwe mu tuzu 37 twanditseho imibare turi kuri rotor. Nanone: slot, cup.Soma byose → 37, straight up yari kwishyura 36 kuri 1 kandi kazino ntiyari kugira icyo yinjiza. Inyungu ya kazino imwe hose iroroshye: nta tega rya roulette ribi kurusha irindi, uretse gusa itega ku mibare itanu ry'Abanyamerika rya 7,89%.

Inyungu ya kazino ku matega yishyura kimwe ku kindi, ukurikije ubwoko% by'itega

Iy'Igifaransa (la partage)

1,35%

Iy'i Burayi

2,70%

Iy'Abanyamerika (0, 00)

5,26%

Mini (utuzu 13)

7,69%

Zeru eshatu

7,69%

% by'itega

03,857,69%

Ubwishyu ni bumwe hose; umubare w'utuzu ni wo wonyine uhinduka.

Itega rya Roulette ku Mibare Itanu

Icyo inyungu ya kazino muri roulette atari cyo

Si amahirweimibareAmahirweAmahirwe y'igisubizo, kuva kuri 0 kugeza kuri 1 cyangwa kuva kuri 0% kugeza kuri 100%. Umubare umwe: 1/37 = 2,70%.Soma byose → yo gutsindwa mu mukino; imikino migufi myinshi igenwa n'ihindagurikaimibareIhindagurikaIgipimo cy'uko ibisubizo bikwirakwira kure y'agaciro gateganyijwe. Riri hejuru kuri straight up, hasi ku matega yishyura kimwe ku kindi.Soma byose →, kandi hafi 42% by'imikino y'amazunguruka 100 ku matega yishyura kimwe ku kindi irangira hari inyungu. Si amafaranga yishyurwa kuri buri mukino; yiyongera hakurikijwe amafaranga yose yategeweamafarangaAmafaranga yose yategeweAmafaranga yose yategewe mu mukino umwe cyangwa mu gihe runaka, harimo n'intsinzi zongeye gutegwa. Nanone: handle, action.Soma byose →, bityo uruhererekane rw'amategaingambaUruhererekane rw'amategaItegeko iryo ari ryo ryose rihindura itega hashingiwe ku bisubizo byabanje. Impererekane mbi ziryongera nyuma yo gutsindwa, inziza nyuma yo gutsinda.Soma byose → rutega menshi rwishyura menshi. Si ikintu uburyo bwo gutega bushobora kugabanya, kuko inyungu za kazino z'amatega ategwa icyarimwe ziteranywa hakurikijwe ingano y'amatega yayo.

Mu mafaranga

Kuri buri $1.000 ritegewe, igihombo giteganyijwe ni $27,03 muri roulette y'i BurayiubwokoRoulette y'i BurayiUruziga rufite zeru imwe, utuzu 37, inyungu ya kazino 2,70%. Ni yo ngero ngenderwaho kuri uru rubuga.Soma byose →, $52,63 muri iy'Abanyamerika, $13,51 ku matega yishyura kimwe ku kindiitegaItega ryishyura kimwe ku kindiUmutuku/umukara, itabangikanye/ibangikanye, minini/mito. Imibare 18, ryishyura 1:1.Soma byose → hamwe na la partageitegekoLa partageItegeko ry'Igifaransa: iyo zeru isohotse, kimwe cya kabiri cy'itega ryishyura kimwe ku kindi kirasubizwa. Rigabanya inyungu ya kazino kuri ayo matega kabiri, ikagera kuri 1,35%.Soma byose →. Umukinnyi uhoraho utega $500 buri mugoroba, kabiri mu cyumweru, mu mwaka umwe aba yarategeye $52.000 kandi yarishyuye hafi $1.400 by'inyungu ya kazino ku ruziga rw'i Burayi. Uwo mubare ni muto kuri buri zunguruka kandi ntucogora mu mwaka.

Itegeko rya Roulette rya La Partage Roulette y'i Burayi

Kuri buri zunguruka cyangwa kuri buri tega rirangiye

Hafi buri tega rya roulette rirangizwa n'izunguruka rimwe, bityo inyungu ya kazino yaryo kuri buri zunguruka n'iyo kuri buri tega ni umubare umwe. Itega rishobora kunganya rikaguma ku mbonerahamwe y'amategaibikoreshoImbonerahamwe y'amategaImbonerahamwe yo gutega yanditse ku meza. Nanone: ameza, igitambaro cy'ameza.Soma byose → rigira ibiri. Itega rya teal rya Riverboat Roulette rifata imibare 3 y'uruziga rw'Abanyamerika, ritsinda kuri 2 kuri 1 iyo umwe muri yo usohotse mbere y'umwe mu mibare 8 y'Umweru, kandi rikanganya ku bindi byose. Kuri buri tega rirangiye ritakaza 2/11 by'itega, 18,18%. Kuri buri zunguruka ritakaza 2/38, 5,26%, kuko ku mpuzandengo itega riguma ku meza amazunguruka 38/11, hafi 3,5. Imibare yombi ni ukuri. Uwo kuri buri zunguruka ugereranya itega n'andi yo ku meza kandi ukagena icyo isaha itwara; uwo kuri buri tega rirangiye uvuga igice cya buri tega kigaruka iyo itega rirangiye.

itega rya Riverboatimibareryishyurainyungu ya kazino kuri buri tega rikemuweinyungu ya kazino kuri buri zunguruka

teal, umuhondo32 kuri 118,18%5,26%

pink, move48 kuri 513,33%4,21%

orange, ubururu57 kuri 57,69%2,63%

Inyungu ya kazino kuri buri zunguruka × amazunguruka y'impuzandengo ku mbonerahamwe y'amatega = inyungu ya kazino kuri buri tega rirangiye: 5,26% × 38/11 = 18,18%.

Uruziga n'Amategeko bya Roulette y'Abanyamerika

Iyo kazino yibeshye ku giciro

Buri nyungu ya kazino iri kuri iyi paji ituruka ku ibarura kazino zisanzwe zikora neza. Rimwe na rimwe ntizibikora neza. Mu Ukwakira 1994, Grand Casino y'i Biloxi, muri Mississippi, yatanze 80 kuri 1 ku dusoro dutatu duteranyije 4, kandi kimwe kuri 17. Udusoro dutatu tugwa mu nzira 216 kandi 3 gusa muri zo ziteranyije 4, bityo itega ryagaruraga 81 × 3/216 = 1,125 kuri buri nite itegewe: inyungu ya 12,5% ku mukinnyi. Abakinnyi barabibonye. Kazino yatakaje hafi $180.000 mu munsi umwe, ihagarika iryo tega, irongera irifungura kuri 60 kuri 1, bigahindura amahirwe 3 muri 216 amwe inyungu ya 15,3% kuri kazino. Hunacek (2025), asubiramo Bollman, ni we uvuga iyi nkuru. Ubwishyu busanzwe bwa roulette buroroshye cyane ku buryo butakwibeshyaho gutyo; amatega y'inyongeraitegaItega ry'inyongeraItega ry'inyongera ritategetswe, rifatanye n'umukino nyamukuru, akenshi ku ruhererekane rw'ibisubizo, ku gikorwa cya bonus cyangwa kuri jackpot. Hafi buri gihe rihenda kurusha amatega asanzwe.Soma byose → yayo adasanzwe ni yo akwiye kugenzurwamo ibarura.

Udusoro dutatu duteranyije 4 kuri 80 kuri 1 twahaye abakinnyi inyungu.

Amatega y'inyongera mu yindi mikino yo ku meza

Bollman (2021) ashyira amatega y'ingenzi ya blackjack, baccarat, craps na roulette iruhande rw'amatega y'inyongera asanzwe yo kuri ayo meza. Mu mikino itatu ya mbere itega ry'inyongera rihenda kurusha itega ry'ingenzi, akenshi inshuro nyinshi. Icyihariye ni umukino wa nyuma mu mbonerahamwe: inyungu ya kazino ya roulette y'AbanyamerikaubwokoRoulette y'AbanyamerikaUruziga rufite 0 na 00, utuzu 38, inyungu ya kazino 5,26%. Si yo ngero ishingirwaho kuri uru rubuga.Soma byose → ni 5,26% ku matega y'ingenzi, iri hejuru ku buryo itega ry'inyongera nka Colors cyangwa WINGO rishobora guhenduka kurushaho.

umukinoitega ry'ingenziinyungu ya kazinoitega ry'inyongerainyungu ya kazino

blackjackikiganza cy'umukinnyi, bitewe n'amategeko n'uko akina0,5–5%Lucky Ladies24,94%

WINSURE10,20% cyangwa birenga

baccaratPlayer1,36%Baccarat World2,32% cyangwa birenga

Banker1,17%WINSUIT2,89%

crapsPass1,41%Field5,56%

Don’t Pass1,36%All Tall, All Small7,76%

Roulette y'Abanyamerikaitega iryo ari ryo ryose uretse iry'imibare itanu5,26%Colors4,34%

itega ku mibare itanu7,89%WINGO3,78%

Baccarat kuri buri kiganza kirangiye, kunganya kutabariwemo. Inyungu za kazino z'amatega y'inyongera ziterwa n'imbonerahamwe y'ubwishyu itangwa; izi ni izo muri Bollman (2021).

Ikiguzi cy'Isaha Imwe, Bigereranyijwe Amatega y'Inyongera muri Roulette

Formula

inyungu ya kazino = 1 − (n/37)(36/n) = 1 − 36/37 = 1/37

igihombo giteganyijwe = inyungu ya kazino × ibyategewe byose

Ibibazo

Ese 2,70% ni kimwe no gutakaza 2,70% by'igishoro cyanjye cyo gukina?

Oya. Ni 2,70% by'ibyo utega. Kongera gutega amafaranga amwe ni ukongera kuyatega.

Ese inyungu ya kazino muri roulette ihinduka bitewe n'ingano y'itega?

Oya. Ni igipimo. Igihombo giteganyijwe mu madolari kiyongera hakurikijwe ingano y'itega.

Ni irihe tega rifite odds nziza kurusha andi muri roulette?

Iyo bipimwe n'inyungu ya kazino, amatega yose asanzwe y'i Burayi aringana; atandukanira gusa ku nshuro atsinda n'ingano y'ubwishyu. Hamwe na la partage, amatega yishyura kimwe ku kindi agira kimwe cya kabiri cy'andi.

Kwishimisha n'Imibare

Banza ubigerageze ubwawe. Buri gisubizo kirapfunyitse; ugifungure igihe witeguye.

Ku ruziga rw'i Burayi, straight upitegaStraight upUmubare umwe, yishyura 35:1.Soma byose → n'itega ku mutukuitegaUmutukuItega ryishyura kimwe ku kindi ku mibare 18 y'umutuku. Mu Gifaransa: rouge.Soma byose → byombi bitwara 2,70%, nubwo kimwe gifata umubare umwe naho ikindi kigafata cumi n'umunani. Kuki buri tega rifite inyungu ya kazinoimibareInyungu ya kazinoIgice cya buri tega kazino igumana ku mpuzandengo: 2,70% muri roulette y'i Burayi.Soma byose → imwe?
Erekana igisubizo
Igisubizo Buri bwishyuamafarangaUbwishyuIbyo itega ryatsinze rigarura, bivugwa nka “X kuri 1” hiyongereyeho itega rigarurwa.Soma byose → bugenwa nk'aho zeruuruzigaZeruAkazu kamwe k'icyatsi katafatwa n'itega ryishyura kimwe ku kindi, irya dazeni cyangwa iry'inkingi; ni ho inyungu ya kazino ikomoka. Nanone: zeru imwe, 0.Soma byose → itariho, bityo buri tega ritakaza initeamafarangaIniteItega ry'ibanze uburyo cyangwa umukinnyi akoresha. Impererekane z'amatega zisobanurwa mu nite kugira ngo zikoreshwe ku meza ayo ari yo yose.Soma byose → imwe mu mazunguruka 37, uko ryaba rifata kose.
Fata itega ku mibare n. Ryishyura (36 − n)/n kuri 1. Mu mazunguruka 37 ritsinda, ku mpuzandengo, inshuro n kandi rigatsindwa inshuro 37 − n.
Intsinzi zinjiza n × (36 − n)/n = 36 − n inite. Ibihombo bitwara 37 − n inite. Itandukaniro ni −1 inite buri mazunguruka 37, kandi n yavuyeho: igisubizo ni kimwe kuri straight up, inguniitegaInguniImibare ine ihuriye ku nguni imwe ku mbonerahamwe y'amatega, yishyura 8:1.Soma byose → cyangwa dazeniitegaDazeni1–12, 13–24 cyangwa 25–36, yishyura 2:1.Soma byose →. Inite imwe itakajwe muri 37 ni 2,70%.
Ku ruziga rufite utuzuibikoreshoAkazuKamwe mu tuzu 37 twanditseho imibare turi kuri rotor. Nanone: slot, cup.Soma byose → N, iyo mibare itanga (36 − N)/N, bityo −2/38 = 5,26% ku ruziga rw'Abanyamerika. Itega rimwe ryica ubwo buryo ni itega ry'Abanyamerika ku mibare itanu: itegeko rivuga ko ryagombye kwishyura 6,2 kuri 1, ryishyura 6, kandi ritwara 7,89%.
Keno, umukino umeze nka tombola, igumana 25% cyangwa birenzeho by'ibitegwa. Iyaba kazino yongeraga zeru ku ruziga rwa roulette ntihindure ubwishyu, zeru zingahe zakenerwa kugira ngo roulette ihende nka keno?
Erekana igisubizo
Igisubizo Zeru cumi n'ebyiri: uruziga rw'utuzu 48.
Hamwe na zeru z, uruziga rufite utuzu 36 + z, kandi ubwishyu buracyatekereza ko ari 36. Hakurikijwe itegeko ryo mu kibazo kibanziriza, buri tega ritakaza inite z mu mazunguruka 36 + z, bityo inyungu ya kazino ni z/(36 + z).
Binganye na kimwe cya kane: 4z = 36 + z, bityo z = 12. Zeru cumi n'ebyiri ku ruziga rw'utuzu 48 zatwara 25%.
Uruziga rwa zeru eshatu rwo ku Las Vegas Strip, roulette ihenze kurusha izindi abakinnyi benshi bazahura na yo, rufite kimwe cya kane cy'uwo mubare.
zeruutuzuinyungu ya kazino
1372,70%
2385,26%
3397,69%
44010,00%
124825,00%
Massachusetts Lottery yatangije mu 2023 uruziga rufite imibare 36 nta zeru. Umubare umwe wishyura 25 for 1, naho umutuku, umukaraitegaUmukaraItega ryishyura kimwe ku kindi ku mibare 18 y'umukara. Mu Gifaransa: noir.Soma byose →, itabangikanye cyangwa ibangikanye byishyura 3 for 2. Kubera ko nta zeru, ese irahendutse kurusha roulette?
Erekana igisubizo
Igisubizo Oya, irahenze cyane kurushaho: 30,56% ku mubare na 25% ku mutuku cyangwa umukara, ugereranyije na 2,70% ku ruziga rw'i Burayi.
“For” ibariramo itega. Itega rya $1 ku mubare rigarura $25 rimwe mu matombola 36 ku mpuzandengo: $25 zigaruka kuri $36 zategewe, igihombo cya $11 kuri 36, 30,56%.
Itega rya $2 ku mutuku rigarura $3 kimwe cya kabiri cy'igihe: $3 zigaruka kuri buri $4 zategewe, igihombo cya 25%.
Zeru ni uburyo bumwe gusa bwo gushyiraho igiciro. Roulette yishyura nk'aho hari utuzu 36 maze ikongeraho aka 37; uru ruziga rufite utuzu 36 kandi rwishyura bike gusa. Bollman (2024) abitanga nk'umwitozo.
Kazino ishaka itega rishya ku mibare fatizoimibareUmubare w'ibanzeUmubare wuzuye urenze 1 ugabanywa neza na 1 n'uwo mubare ubwawo gusa: 2, 3, 5, 7, 11, 13 n'ibindi.Soma byose → cumi n'imwe kuva kuri 1 kugeza kuri 36: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 na 31. Igomba kwishyura angahe kugira ngo ritware 2,70% imwe nk'andi matega yose ku ruziga rw'i Burayi? Ryatwara angahe kuri 2 kuri 1?
Erekana igisubizo
Igisubizo 25 kuri 11, hafi 2,27 kuri 1. Kuri 2 kuri 1 ryatwara 10,81%.
Koresha itegeko ryo mu kibazo cya mbere: itega ku mibare n ryishyura (36 − n)/n kuri 1. Hamwe na n = 11 ni 25/11 kuri 1, ubwishyu butoroshye, kuko jetoamafarangaJeto (chip)Jeto ihagarariye amafaranga angana atahinduka, ishyirwa ku mbonerahamwe y'amatega kugira ngo utege. Nanone: check.Soma byose → ya $10 yatsindira $22,73.
Kuri 2 kuri 1, itega rya $1 ritsinda $2 mu mazunguruka 11 muri 37 kandi rigatakaza $1 mu yandi 26: 22 − 26 = −4 inite buri mazunguruka 37, 10,81%.
Ni yo mpamvu roulette igurisha amatega ku mibare 1, 2, 3, 4, 6, 12 na 18: 36 igabanywa na buri umwe muri yo, bityo ubwishyu nyabwo ni umubare wuzuye. Taylor (2021) atanga umwitozo ufite imibare fatizo icumi; ni cumi n'imwe.

Akanya k'urwenya

$1/37 ya buri tega, kuri buri tega, kuri buri zunguruka.$

1/37 ya buri tega, kuri buri tega, kuri buri zunguruka.

Inkomoko

Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Igice cya 13, roulette.
Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed. Academic Press, 2013.
Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette. CRC Press, 2021. Igice cya 2, roulette.
Hunacek, M. Quantitative Literacy Through Games and Gambling. Chapman & Hall/CRC, 2025.

byasuzumwe 2026-09-28icyitegererezo: uruziga rw'i Burayi, zeru imweuburyo bwakoreshejwe ↗inkomoko ↗