Edj bilong Kasino long Rulet
Hap bilong olgeta bet kasino i save holim long avarej.
Rulet bilong Yurop: 2.70% long olgeta stretpela bet, long wanem ol i kaunim ol pe olsem i gat 36 hul, tasol i gat 37.
Em i kam olsem wanem
Stretpela ods bilong bet long wanpela nambabetWanpela nambaWanpela namba tasol, pe em i 35:1.Ritim olgeta → em i 36 long 1, long wanem i gat 36 rot bilong lus long olgeta wanpela rot bilong win. Kasino i pe 35 long 1. Dispela yunitmaniYunitMani bilong bet bilong stat we wanpela sistem o wanpela pleia i wok long en. Ol i stori long ol progresen long yunit, olsem na ol i ken wok long wanem tebol.Ritim olgeta → i sot, yu brukim long 37 samting i gat wankain sans long kamap, em i 1/37 = 2.70% bilong mani bilong bet long wanpela tanim. Wankain sot i stap long olgeta pemaniPeMani bet i win i givim yu, ol i tok olsem “X long 1”, antap long mani bilong bet i kam bek.Ritim olgeta →, long wanem olgeta pe i bihainim lo 36/n − 1: bet long tupela nambabetTupela nambaTupela namba i stap klostu, pe em i 17:1.Ritim olgeta → i pe 17 na i no 17.5, dosenbetDosen1–12, 13–24 o 25–36, pe em i 2:1.Ritim olgeta → i pe 2 na i no 2.083, retbetRetBet wan-long-wan long 18 namba ret. Tok Frans: rouge.Ritim olgeta → i pe 1 na i no 1.056. Sot em i 1/n yunit long olgeta win oltaim, na n/37 win long wanpela tanim, olsem na em i 1/37 long wanpela tanim oltaim.
Edj na hold
Edj em i avarej lusmatematikAvarej lusEkspektet velyu taims olgeta mani yu betim; avarej mani yu lusim long wanpela sesen o long wanpela taim.Ritim olgeta → long olgeta yunit yu betim: 2.70% long wanpela tanim. HoldmaniHoldHap bilong mani ol pleia i kisim i kam long tebol we kasino i holim tru. Em i bikpela moa long edj bilong kasino long wanem ol pleia i betim gen mani ol i win.Ritim olgeta → em i mani kasino i holim tru long mani yu kisim i kam long tebol, na em i bikpela moa, long wanem yu save betim gen ol win bilong yu. Sapos yu baim siptebolBaim sipSenisim mani kes long sip long tebol. Yu mekim namel long tupela tanim, na yu putim mani long laiaut, yu no givim long han bilong dila.Ritim olgeta → long $100 na yu betim $10 long wanpela taim inap 200 tanim, yu betim olgeta $2,000 na yu baim klostu $54 long edj; hold long dispela mani em i 54%. Ol kasino i save tokaut long hold; ol pleia i mas tingting long edj.
Bilong wanem olgeta bet i gat wankain edj
Ol man i makim olsem, em i no samting i kamap nating. Lo 36/n − 1 i kamap long 18 senturi, na bihain ol i rausim dabel sironarakain ruletDabel siroHul 00 bilong wil bilong Amerika. Taim em i stap, edj bilong kasino i go antap long 2.70% i go 5.26%.Ritim olgeta → na ol i no senisim ol pe. Sapos ol pe i bin stret long 37 hultulHulWanpela long ol 37 hul i gat namba long rota. Narapela nem: slot, cup.Ritim olgeta →, bet long wanpela namba bai i pe 36 long 1 na kasino i no gat wanpela mani i kam. Wankain edj i helpim: i no gat wanpela bet long rulet i “bet bilong ol longlong” sapos yu skelim wantaim narapela. Wanpela tasol i narakain: bet long faivpela namba bilong Amerika wantaim 7.89%.
Edj bilong rulet i no wanem samting
Em i no sansmatematikSansSans bilong wanpela resal, long 0 i go 1 o 0% i go 100%. Wanpela namba: 1/37 = 2.70%.Ritim olgeta → bilong lus long wanpela sesen. Planti sot sesen i kamap long variansmatematikVariansMak bilong hamas ol resal i kalap nabaut long ekspektet velyu. I bikpela long bet long wanpela namba, i liklik long bet wan-long-wan.Ritim olgeta →, na klostu 42% bilong ol sesen bilong 100 tanim long bet wan-long-wan i pinis wantaim pleia i stap antap. Em i no pe bilong wanpela sesen; em i go antap wantaim olgeta mani yu betimmaniOlgeta mani yu betimOlgeta mani yu betim long wanpela sesen o long wanpela taim, wantaim mani yu win na yu betim gen. Narapela nem: handle, action.Ritim olgeta →, olsem na progresenstratejiProgresenWanem lo i senisim mani bilong bet long ol resal i go pinis. Negative progresen i mekim bet i go antap bihain long lus, positive progresen bihain long win.Ritim olgeta → i betim planti mani moa i baim planti moa. Em i no samting pasin bilong bet inap mekim i kamap liklik, long wanem ol edj bilong ol bet long wankain taim i bung wantaim long mak bilong mani bilong ol bet.
Long mani
Long olgeta $1,000 yu betim, avarej lus em i $27.03 long rulet bilong Yuropnarakain ruletRulet bilong YuropWil i gat wanpela siro, 37 hul, edj bilong kasino 2.70%. Em i wil mipela save yusim pastaim long dispela sait.Ritim olgeta →, $52.63 long rulet bilong Amerika, na $13.51 long ol bet wan-long-wanbetBet wan-long-wanRet/blak, od/iven, antap/daunbilo. 18 namba, pe em i 1:1.Ritim olgeta → wantaim la partageloLa partageLo bilong Frans: taim siro i kamap, hap bilong mani bilong bet wan-long-wan i kam bek. Em i katim edj bilong kasino long ol dispela bet long hap, i go daun long 1.35%.Ritim olgeta →. Wanpela man i save kam oltaim na i betim $500 long wanpela nait, tupela taim long wanpela wik, inap wanpela yia, em i betim olgeta $52,000 na em i baim klostu $1,400 long edj long wil bilong Yurop. Namba i liklik long wanpela tanim, tasol long wanpela yia em i no save pinis.
Long wanpela tanim o long wanpela bet i pinis
Klostu olgeta bet long rulet i pinis long wanpela tanim, olsem na edj long wanpela tanim na edj long wanpela bet em i wankain namba. Bet inap i stap nating na i stap yet long laiauttulLaiautGrid bilong bet ol i prinim long tebol. Narapela nem: table, felt, cloth.Ritim olgeta → i gat tupela namba. Bet grin-blu bilong Riverboat Roulette i karamapim 3 namba bilong wil bilong Amerika. Em i win 2 long 1 sapos wanpela bilong ol i kamap bipo long wanpela bilong 8 namba Wait, na em i stap nating long olgeta narapela namba. Long wanpela bet i pinis, em i lusim 2/11 bilong mani bilong bet, 18.18%. Long wanpela tanim em i lusim 2/38, 5.26%, long wanem long avarej wanpela bet i stap 38/11 tanim, klostu 3.5. Tupela namba i stret. Namba bilong wanpela tanim i skelim bet wantaim ol narapela bet long tebol na i makim pe bilong wanpela aua; namba bilong wanpela bet i pinis i tok hamas bilong olgeta mani bilong bet i kam bek taim bet i pinis long las.
Taim kasino i makim pe i rong
Olgeta edj long dispela pes i kam long kaunim namba ol kasino i save mekim stret. Sampela taim ol i no mekim stret. Long Oktoba 1994, Grand Casino long Biloxi, Mississippi, i givim 80 long 1 long tripela dais i bung i kamap 4, na wankain long 17. Tripela dais inap pundaun long 216 rot, na 3 tasol i bung i kamap 4. Olsem na bet i givim bek 81 × 3/216 = 1.125 long olgeta yunit yu betim: edj bilong 12.5% i go long pleia. Ol pleia i luksave. Kasino i lusim klostu $180,000 long wanpela de, em i pasim bet, na em i opim gen long 60 long 1. Dispela i senisim wankain 3 sans long 216 i kamap edj bilong 15.3% bilong kasino. Hunacek (2025), em i kisim tok long Bollman, i stori long en. Ol stretpela pe bilong rulet i isi tumas, olsem na ol i no inap rong long kain pasin olsem; ol narakain sait betbetSait betWanpela bet moa yu ken putim o nogat, i stap wantaim bikpela pilai. Planti taim em i long wanpela ran, wanpela bonas o wanpela jekpot. Klostu oltaim em i kostim moa long ol bet olpasin.Ritim olgeta → bilong rulet em i hap we yu mas sekim kaunim namba.
Ol sait bet long ol narapela pilai bilong tebol
Bollman (2021) i putim ol bikpela bet bilong blakjek, bakara, kreps na rulet long sait bilong ol sait bet i save stap long wankain tebol. Long namba wan tripela pilai, sait bet i dia moa long bikpela bet, planti taim em i dia tumas. Wanpela tasol i narakain em i las pilai long namba tebol: edj bilong rulet bilong Amerikanarakain ruletRulet bilong AmerikaWil i gat 0 na 00, 38 hul, edj bilong kasino 5.26%. Long dispela sait, em i no dispela wil mipela save yusim pastaim.Ritim olgeta → em i 5.26% long ol bikpela bet, na em i antap inap long wanpela sait bet olsem Colors o WINGO inap kamap pe i daun moa.
Hamas Wanpela Aua i Kostim, Mipela SkelimOl Sait Bet bilong Rulet
Fomula
Ol askim
Nogat. Em i 2.70% bilong mani yu betim. Sapos yu betim gen wankain mani, yu betim em gen.
Nogat. Em i hap bilong olgeta. Avarej lus long dola i go antap wantaim mani bilong bet.
Sapos yu skelim long edj, olgeta stretpela bet bilong Yurop i wankain; ol i narakain long hamas taim ol i win na hamas ol i pe tasol. Wantaim la partage, edj bilong ol bet wan-long-wan em i hap bilong ol narapela.
Amamas wantaim Matematik
Traim ol dispela yu yet pastaim. Bekim bilong wanwan i hait; opim taim yu redi.
Long wil bilong Yurop, bet long wanpela nambabetWanpela nambaWanpela namba tasol, pe em i 35:1.Ritim olgeta → na bet long retbetRetBet wan-long-wan long 18 namba ret. Tok Frans: rouge.Ritim olgeta → i kostim 2.70% wantaim, maski wanpela i karamapim wanpela namba tasol na narapela i karamapim etin. Bilong wanem olgeta bet i gat wankain edj bilong kasinomatematikEdj bilong kasinoHap bilong olgeta mani bilong bet kasino i holim long avarej: 2.70% long rulet bilong Yurop.Ritim olgeta →?
Soim bekim
Bekim Olgeta pemaniPeMani bet i win i givim yu, ol i tok olsem “X long 1”, antap long mani bilong bet i kam bek.Ritim olgeta → i stap olsem sirowilSiroWanpela grinpela hul we i no gat bet wan-long-wan, dosen o kolam i karamapim; em i as bilong edj bilong kasino. Narapela nem: wanpela siro, 0.Ritim olgeta → i no stap, olsem na olgeta bet i lusim wanpela yunitmaniYunitMani bilong bet bilong stat we wanpela sistem o wanpela pleia i wok long en. Ol i stori long ol progresen long yunit, olsem na ol i ken wok long wanem tebol.Ritim olgeta → long 37 tanim, maski em i karamapim hamas namba.
Tingim wanpela bet long n namba. Em i pe (36 − n)/n long 1. Long 37 tanim, long avarej em i win n taim na i lus 37 − n taim.
Ol win i bringim n × (36 − n)/n = 36 − n yunit. Ol lus i kostim 37 − n yunit. Namel long tupela em −1 yunit long olgeta 37 tanim, na n i lus pinis: ansa i wankain long bet long wanpela namba, bet long fopela nambabetFopela nambaFopela namba i bung long wanpela kona long laiaut, pe em i 8:1.Ritim olgeta → o dosenbetDosen1–12, 13–24 o 25–36, pe em i 2:1.Ritim olgeta →. Wanpela yunit i lus long 37 em 2.70%.
Long wil i gat N hultulHulWanpela long ol 37 hul i gat namba long rota. Narapela nem: slot, cup.Ritim olgeta →, wankain kaunim i givim (36 − N)/N, olsem −2/38 = 5.26% long wil bilong Amerika. Wanpela bet tasol i brukim dispela pasin em bet long faivpela namba bilong Amerika: lo i tok em i mas pe 6.2 long 1, em i pe 6, na em i kostim 7.89%.
Keno, pilai olsem loteri, i save holim 25% o moa long mani ol i betim. Sapos kasino i putim moa siro long wil bilong rulet na i no senisim ol pe, hamas siro i mas stap bilong mekim rulet i dia olsem keno?
Soim bekim
Bekim Twelpela siro: wil i gat 48 hul.
Wantaim z siro, wil i gat 36 + z hul, na ol pe i ting yet olsem i gat 36. Long lo bilong pasol antap, olgeta bet i lusim z yunit long 36 + z tanim, olsem na edj bilong kasino em z/(36 + z).
Mekim dispela i kamap wankain olsem wan kwota: 4z = 36 + z, olsem na z = 12. Twelpela siro long wil i gat 48 hul bai i kostim 25%.
Wil i gat tripela siro long Las Vegas Strip, rulet i dia moa planti pleia bai i bungim, i gat wan kwota tasol bilong dispela namba.
ol sirool huledj bilong kasino1372.70%2385.26%3397.69%44010.00%124825.00%Massachusetts Lottery i statim wanpela wil long 2023 i gat 36 namba na nogat siro. Wanpela namba i pe 25 bilong 1, na ret, blakbetBlakBet wan-long-wan long 18 namba blak. Tok Frans: noir.Ritim olgeta →, od o iven i pe 3 bilong 2. Taim nogat siro, em i no dia olsem rulet?
Soim bekim
Bekim Nogat, em i dia moa tru: 30.56% long wanpela namba na 25% long ret o blak, na long wil bilong Yurop em 2.70%.
“Bilong” i kaunim mani bilong bet tu. Bet long wanpela namba long $1 i givim bek $25 wanpela taim long 36 tanim long avarej: $25 i kam bek long $36 yu betim, lus bilong $11 long 36, 30.56%.
Bet long ret long $2 i givim bek $3 long hap bilong ol taim: $3 i kam bek long olgeta $4 yu betim, lus bilong 25%.
Siro em wanpela rot tasol bilong makim pe. Rulet i pe olsem i gat 36 hul na i putim namba 37; dispela wil i gat 36 hul na em i pe liklik moa tasol. Bollman (2024) i putim olsem wanpela eksasais.
Wanpela kasino i laik wokim nupela bet long ilevenpela praim nambamatematikPraim nambaFul namba i antap long 1 we 1 na em yet tasol i ken skelim stret: 2, 3, 5, 7, 11, 13 na i go.Ritim olgeta → long 1 i go inap 36: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 na 31. Em i mas pe hamas bilong kostim wankain 2.70% olsem olgeta narapela bet long wil bilong Yurop? Long 2 long 1, em bai kostim hamas?
Soim bekim
Bekim 25 long 11, klostu 2.27 long 1. Long 2 long 1 em bai kostim 10.81%.
Yusim lo bilong namba wan pasol: bet long n namba i pe (36 − n)/n long 1. Wantaim n = 11 em i 25/11 long 1, pe i hat long yusim, long wanem sipmaniSipSamting i makim wanpela namba mani i no save senis, yu putim long laiaut bilong mekim bet. Narapela nem: check.Ritim olgeta → bilong $10 bai winim $22.73.
Long 2 long 1, bet bilong $1 i winim $2 long 11 tanim insait long 37 na i lusim $1 long ol arapela 26: 22 − 26 = −4 yunit long olgeta 37 tanim, 10.81%.
Olsem na rulet i salim ol bet long 1, 2, 3, 4, 6, 12 na 18 namba: 36 i ken skelim long olgeta bilong ol, olsem na pe i stret em i namba olgeta. Taylor (2021) i putim eksasais wantaim tenpela praim namba; tru tru i gat ilevenpela.
Liklik lap
1/37 bilong olgeta mani bilong bet, long olgeta bet, long olgeta tanim.
Ol As bilong Save
- 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.