Chikamu cheKasino muRoulette
Chikamu chemari yakabhejwa yega yega chinochengetwa nekasino paavhareji.
Roulette yeEurope: 2.70% pabheti rega rega rakajairwa, nokuti mibhadharo inoverengwa sekunge paine makomba 36 asi aripo 37.
Kuwana fomula
Odds dzakarurama dzestraight upbhetiStraight upNhamba imwe chete, rinobhadhara 35:1.Verengai zvese → dzaizova 36 kusvika ku1, nokuti pane nzira 36 dzekurasikirwa panzira imwe yekukunda. Kasino inobhadhara 35 kusvika ku1. YunitimariYunitiMari yehwaro inoshandiswa nesisitimu kana nemutambi. Maprogression anotsanangurwa nemayuniti kuitira kuti ashande patafura ipi zvayo.Verengai zvese → inoshaikwa, yakagoverwa pamhedzisiro 37 dzine mukana wakaenzana, i1/37 = 2.70% yemari yakabhejwa pakutenderera kwega kwega. Kushaikwa kwakafanana uku kunooneka pamubhadharomariMubhadharoZvinodzoserwa nebheti rakunda, zvinotaurwa se“X kusvika ku1” pamusoro pemari yakabhejwa inodzoserwa.Verengai zvese → wega wega nokuti mubhadharo wega wega unoshandisa mutemo we36/n − 1: splitbhetiSplitNhamba mbiri dzakavakidzana, rinobhadhara 17:1.Verengai zvese → inobhadhara 17 pachinzvimbo che17.5, dozenibhetiDozeni1–12, 13–24 kana 25–36, rinobhadhara 2:1.Verengai zvese → 2 pachinzvimbo che2.083, tsvukubhetiTsvukuBheti remubhadharo wakaenzana panhamba 18 tsvuku. ChiFrench: rouge.Verengai zvese → 1 pachinzvimbo che1.056. Musiyano unogara uri 1/n yemayuniti pakukunda kwega kwega, uye kukunda n/37 pakutenderera kwega kwega, saka nguva dzose 1/37 pakutenderera kwega kwega.
Chikamu chekasino uchienzaniswa nehold
Chikamu chekasino ndiko kurasikirwa kunotarisirwamasvomhuKurasikirwa kunotarisirwaKukosha kunotarisirwa kwakapetwa nemari yose yakabhejwa; mari yepakati inorasika musesheni kana munguva yakati.Verengai zvese → payuniti yega yega yakabhejwa: 2.70% pakutenderera kwega kwega. HoldmariHoldChikamu chemari inounzwa nevatambi patafura chinonyatsochengetwa nekasino. Chakakwirira kupfuura chikamu chekasino nokuti mari yakakundwa inobhejwazve.Verengai zvese → ndizvo zvinonyatsochengetwa nekasino zvemari yamakauya nayo patafura, uye zvakakwira zvikuru nokuti munobhejazve zvamakakunda. Buy-intafuraBuy-inKuchinjanisa mari nemachipi patafura. Kunoitwa pakati pekutenderera, mari ichiiswa patafura yekubhejera kwete kupihwa mutambisi muruoko.Verengai zvese → ye$100 inobhejwa $10 panguva mukutenderera 200 yakabhejwa $2,000 yose uye yabhadhara zvinenge $54 sechikamu chekasino; hold pa buy-in iyoyo i54%. Makasino anoshuma hold; vatambi vanofanira kufunga nechikamu chekasino.
Sei bheti rega rega riine chikamu chekasino chakafanana
Isarudzo yakagadzirwa nemaune, kwete zvangoitika. Mutemo we36/n − 1 wakatarwa muzana remakore rechi18 uye zero mbirimhandoZero mbiriGomba re00 pavhiri reAmerica. Kuvapo kwaro kunokwidza chikamu chekasino kubva pa2.70% kusvika pa5.26%.Verengai zvese → yakazobviswa gare gare pasina kubata mibhadharo. Dai mibhadharo yaive yakarurama pamakombamidziyoGombaImwe yemakamuri 37 ane nhamba parotor. Mamwe mazita: slot, cup.Verengai zvese → 37, straight up yaibhadhara 36 kusvika ku1 uye kasino yaisava nemari inopinda. Chikamu chekasino chakafanana chinobatsira: hapana bheti reRoulette riri “bheti rebenzi” kana richienzaniswa nerimwe, kunze kwebheti renhamba shanu reAmerica pa7.89% chete.
Zvisiri chikamu chekasino muRoulette
Hachisi mukanamasvomhuMukanaMukana wemhedzisiro, kubva pa0 kusvika pa1 kana 0% kusvika 100%. Nhamba imwe: 1/37 = 2.70%.Verengai zvese → wekurasikirwa nesesheni; masesheni mapfupi mazhinji anosarudzwa nemusiyanomasvomhuMusiyanoChiyero chekuti mhedzisiro yakapararira zvakadii kutenderedza kukosha kunotarisirwa. Wakakwirira pastraight up, wakaderera pamabheti emubhadharo wakaenzana.Verengai zvese →, uye zvinenge 42% yemasesheni ekutenderera 100 emubhadharo wakaenzana anopera vari mberi. Hachisi muripo wesesheni imwe neimwe; chinokura nemari yose yakabhejwamariMari yose yakabhejwaMari yese yakabhejwa musesheni kana munguva yakati, kusanganisira mari yakakundwa yakabhejwazve. Mamwe mazita: handle, action.Verengai zvese →, saka progressionnziraProgressionMutemo upi zvawo unochinja mari yekubheja zvichienderana nemhedzisiro yakapfuura. Maprogression anokwira mushure mekurasikirwa anoikwidza kana mukarasikirwa; maprogression anokwira mushure mekukunda anoikwidza kana mukakunda.Verengai zvese → inobheja zvakawanda inobhadhara zvakawanda. Hachisi chinhu chinogona kuderedzwa nemaitiro ekubheja, nokuti zvikamu zvekasino zvemabheti anoitwa panguva imwe chete zvinosanganiswa zvichienderana nemari yakabhejwa paari.
Mumari
Pa$1,000 yakabhejwa, kurasikirwa kunotarisirwa i$27.03 muRoulette yeEuropemhandoRoulette yeEuropeVhiri rine zero imwe, makomba 37, chikamu chekasino 2.70%. Modhi huru pawebhusaiti ino.Verengai zvese →, $52.63 muyeAmerica, $13.51 pamabheti emubhadharo wakaenzanabhetiBheti remubhadharo wakaenzanaTsvuku/nhema, isina kuenzana/yakaenzana, dzepamusoro/dzepasi. Nhamba 18, rinobhadhara 1:1.Verengai zvese → nela partagemutemoLa partageMutemo wechiFrench: kana zero yabuda, hafu yemari yakabhejwa pabheti remubhadharo wakaenzana inodzoserwa. Inoita hafu chikamu chekasino pamabheti iwayo kusvika pa1.35%.Verengai zvese →. Mutambi wenguva dzose anobheja $500 manheru, kaviri pavhiki, kwegore rose akabheja $52,000 yose uye akabhadhara zvinenge $1,400 sechikamu chekasino pavhiri reEurope. Nhamba iyi idiki pakutenderera kumwe asi haimire pagore.
Pakutenderera kwega kwega kana pabheti rakapedzwa
Anenge mabheti ese eRoulette anopedzwa nekutenderera kumwe, saka chikamu chekasino pakutenderera uye pabheti inhamba imwe chete. Bheti rinogona kuva push (kudzoserwa) richiramba riri patafura yekubhejeramidziyoTafura yekubhejeraGridhi yekubhejera yakadhindwa patafura. Mamwe mazita: table, felt, cloth.Verengai zvese → rine nhamba mbiri. Bheti reteal reRiverboat Roulette rinofukidza nhamba 3 dzevhiri reAmerica, rinokunda pa2 kusvika ku1 kana imwe yadzo ikabuda pamberi pemumwe wenhamba 8 Chena, uye rinova push pane zvimwe zvese. Pabheti rakapedzwa rinorasikirwa ne2/11 yemari yakabhejwa, 18.18%. Pakutenderera kwega kwega rinorasikirwa ne2/38, 5.26%, nokuti paavhareji bheti rinogara riripo kwekutenderera 38/11, zvinenge 3.5. Nhamba dzose dziri mbiri dzakarurama. Nhamba yepakutenderera inoenzanisa bheti nerimwe ratafura uye inotara kuti awa rimwe rinodhura zvakadii; nhamba yepabheti rakapedzwa inotaura kuti chikamu chakadii chemari yega yega yakabhejwa chinodzoka kana bheti rapedzwa pakupedzisira.
Kana kasino ikakanganisa mutengo
Chikamu chekasino chega chega papeji rino chinobva paarithmetic inowanzonyatsoitwa nemakasino. Dzimwe nguva hazvidaro. MunaGumiguru 1994 Grand Casino yeBiloxi, Mississippi, yakapa 80 kusvika ku1 pamadhayisi matatu ane huwandu hwe4, uye zvakafanana pa17. Madhayisi matatu anowira nenzira 216 uye 3 chete dzadzo dzine huwandu hwe4, saka bheti rakadzosa 81 × 3/216 = 1.125 payuniti yega yega yakabhejwa: chikamu che12.5% chakanakira mutambi. Vatambi vakazviona. Kasino yakarasikirwa nezvinenge $180,000 muzuva rimwe, ikavhara bheti, ikarivhurazve pa60 kusvika ku1, izvo zvinoshandura mikana 3 iyoyo pa216 kuva chikamu che15.3% chakanakira kasino. Hunacek (2025), achitora Bollman, anotaura nyaya iyi. Mibhadharo yakajairwa yeRoulette iri nyore zvekuti haingakanganiswi nenzira iyi; mabheti epadivibhetiBheti reparutiviBheti rekuwedzera risingamanikidzwe rakabatanidzwa kumutambo mukuru, kazhinji pamutsara wemhedzisiro, chiitiko chebhonasi kana jackpot. Rinenge richigara richidhura kupfuura mabheti akajairwa.Verengai zvese → ayo asina kujairika ndiwo panokosha kutarisa arithmetic.
Mabheti epadivi mune mimwe mitambo yetafura
Bollman (2021) anoisa mabheti makuru eblackjack, baccarat, craps neRoulette padivi pemabheti epadivi akajairika pamatafura iwayo. Mumitambo mitatu yekutanga bheti repadivi rinodhura kupfuura bheti guru, kazhinji kakawanda. Chinosiyana mutambo wekupedzisira mutafura: chikamu chekasino cheRoulette yeAmericamhandoRoulette yeAmericaVhiri rine 0 ne00, makomba 38, chikamu chekasino 5.26%. Haisi modhi yakajairwa pawebhusaiti ino.Verengai zvese → i5.26% pamabheti makuru, chakakwira zvekuti bheti repadivi rakaita seColors kana WINGO rinogona kudhura zvishoma.
Mutengo weAwa Imwe, WakaenzaniswaMabheti eParutivi eRoulette
Fomula
Mibvunzo
Kwete. I2.70% yezvamunobheja. Kubhejazve mari imwe chete ikoko kunoibhejazve.
Kwete. Ichikamu. Kurasikirwa kunotarisirwa mumadhora kunokura nemari yakabhejwa.
Kana zvichiyerwa nechikamu chekasino, mabheti ese akajairwa eEurope akaenzana; anosiyana chete pakuti anokunda kangani uye anobhadhara zvakadii. Ne la partage, mabheti emubhadharo wakaenzana ane hafu yeaya mamwe.
Kutamba neMasvomhu
Edzai izvi imi pachenyu pekutanga. Mhinduro yega yega yakapetwa; ivhurei kana magadzirira.
Pavhiri reEurope, straight upbhetiStraight upNhamba imwe chete, rinobhadhara 35:1.Verengai zvese → nebheti patsvukubhetiTsvukuBheti remubhadharo wakaenzana panhamba 18 tsvuku. ChiFrench: rouge.Verengai zvese → zvese zviri zviviri zvinodhura 2.70%, kunyange rimwe richivhara nhamba imwe chete uye rimwe gumi nesere. Sei bheti rega rega riine chikamu chekasinomasvomhuChikamu chekasinoChikamu chemari yega yega yakabhejwa chinochengetwa nekasino paavhareji: 2.70% muRoulette yeEurope.Verengai zvese → chakafanana?
Ratidza mhinduro
Mhinduro MubhadharomariMubhadharoZvinodzoserwa nebheti rakunda, zvinotaurwa se“X kusvika ku1” pamusoro pemari yakabhejwa inodzoserwa.Verengai zvese → wega wega wakatarwa sekunge zerovhiriZeroGomba rimwe chete rakasvibira risingafukidzwi nebheti remubhadharo wakaenzana, redozeni kana rekoramu; ndiko kunobva chikamu chekasino. Mamwe mazita: zero imwe, 0.Verengai zvese → yanga isipo, saka bheti rega rega rinorasikirwa neyunitimariYunitiMari yehwaro inoshandiswa nesisitimu kana nemutambi. Maprogression anotsanangurwa nemayuniti kuitira kuti ashande patafura ipi zvayo.Verengai zvese → imwe pakutenderera 37, zvisinei nezvarinovhara.
Torai bheti panhamba n. Rinobhadhara (36 − n)/n kusvika ku1. Pakutenderera 37 rinokunda, paavhareji, ka n uye rinorasikirwa ka 37 − n.
Kukunda kunounza n × (36 − n)/n = 36 − n mayuniti. Kurasikirwa kunodhura 37 − n mayuniti. Mutsauko uri −1 yuniti pakutenderera 37 kwega kwega, uye n yabviswa: mhedzisiro yakafanana pa straight up, pakonabhetiKonaNhamba ina dzinogovana kona patafura yekubhejera, rinobhadhara 8:1.Verengai zvese → kana padozenibhetiDozeni1–12, 13–24 kana 25–36, rinobhadhara 2:1.Verengai zvese →. Yuniti imwe inorasika pa37 i2.70%.
Pavhiri rine makombamidziyoGombaImwe yemakamuri 37 ane nhamba parotor. Mamwe mazita: slot, cup.Verengai zvese → N, sumu imwe chete iyi inopa (36 − N)/N, saka −2/38 = 5.26% pavhiri reAmerica. Bheti rimwe chete rinotyora pateni iyi ibheti renhamba shanu reAmerica: mutemo unoti rinofanira kubhadhara 6.2 kusvika ku1, rinobhadhara 6, uye rinodhura 7.89%.
Keno, mutambo werudzi rwerotari, unochengeta 25% kana kupfuura yemari inobhejwa. Dai kasino yaiwedzera mazero pavhiri reRoulette ikasiya mibhadharo isina kuchinjwa, mazero mangani aidiwa kuti Roulette idhure sekeno?
Ratidza mhinduro
Mhinduro Mazero gumi nemaviri: vhiri rine makomba 48.
Nemazero z, vhiri rine makomba 36 + z, uye mibhadharo ichiri kufungidzira 36. Nemutemo uri mudambudziko riri pamusoro, bheti rega rega rinorasikirwa nemayuniti z pakutenderera 36 + z, saka chikamu chekasino i z/(36 + z).
Isai izvozvo zvakaenzana nechikamu chimwe chete muzvina: 4z = 36 + z, saka z = 12. Mazero gumi nemaviri pavhiri rine makomba 48 aizodhura 25%.
Vhiri rezero nhatu reLas Vegas Strip, Roulette inodhura zvikuru iyo vatambi vazhinji vachasangana nayo, rine chikamu chimwe muzvina chemazero iwayo.
mazeromakombachikamu chekasino1372.70%2385.26%3397.69%44010.00%124825.00%Massachusetts Lottery yakatanga vhiri muna 2023 rine nhamba 36 uye risina zero. Nhamba imwe inobhadhara 25 for 1, uye tsvuku, nhemabhetiNhemaBheti remubhadharo wakaenzana panhamba 18 nhema. ChiFrench: noir.Verengai zvese →, isina kuenzana kana yakaenzana zvinobhadhara 3 for 2. Sezvo pasina zero, rinodhura zvishoma here kupfuura Roulette?
Ratidza mhinduro
Mhinduro Kwete, rinodhura zvikuru: 30.56% panhamba uye 25% patsvuku kana nhema, pakuenzanisa ne2.70% pavhiri reEurope.
“For” inosanganisira mari yakabhejwa. Bheti re$1 panhamba rinodzosa $25 kamwe chete pakudhirowa 36 paavhareji: $25 inodzoka pa$36 yakabhejwa, kurasikirwa kwe$11 pa36, 30.56%.
Bheti re$2 patsvuku rinodzosa $3 hafu yenguva: $3 inodzoka pa$4 yega yega yakabhejwa, kurasikirwa kwe25%.
Zero inzira imwe chete yekuisa mutengo. Roulette inobhadhara sekunge pane makomba 36 yowedzera rechi37; vhiri iri rine makomba 36 uye rinongobhadhara zvishoma. Bollman (2024) anoripa sechiitwa.
Kasino inoda bheti idzva panhamba dzepraimumasvomhuNhamba yepraimuNhamba yakazara iri pamusoro pe1 inogovaniswa chaizvo ne1 nayo pachayo chete: 2, 3, 5, 7, 11, 13 zvichingodaro.Verengai zvese → gumi neimwe kubva pa1 kusvika pa36: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 ne31. Rinofanira kubhadhara marii kuti ridhure 2.70% yakafanana nebheti rimwe nerimwe pavhiri reEurope? Raizodhura marii pa2 kusvika ku1?
Ratidza mhinduro
Mhinduro 25 kusvika ku11, inenge 2.27 kusvika ku1. Pa2 kusvika ku1 raizodhura 10.81%.
Shandisai mutemo wedambudziko rekutanga: bheti panhamba n rinobhadhara (36 − n)/n kusvika ku1. Na n = 11 ndiyo 25/11 kusvika ku1, mubhadharo wakaoma, nokuti chipimariChipiChiratidzo chinomiririra mari yakatarwa, chinoiswa patafura yekubhejera kuita bheti. Rimwe zita: check.Verengai zvese → ye$10 yaizokunda $22.73.
Pa2 kusvika ku1, bheti re$1 rinokunda $2 pakutenderera 11 pa37 uye rinorasikirwa $1 pane zvimwe 26: 22 − 26 = −4 mayuniti pakutenderera 37 kwega kwega, 10.81%.
Ndosaka Roulette ichitengesa mabheti panhamba 1, 2, 3, 4, 6, 12 ne18: 36 inogovaniswa neimwe neimwe yadzo, saka mubhadharo wakaenzana inhamba yakazara. Taylor (2021) anopa chiitwa ichi nemapraimu gumi; asi aripo gumi neimwe.
Kuseka zvishoma
1/37 yemari yega yega yakabhejwa, pabheti rega rega, pakutenderera kwega kwega.
Zvinyorwa
- 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.
- Hunacek, M. Quantitative Literacy Through Games and Gambling.