Ol Bonas, Promosen na Mani i Kam Bek long Rulet
Ol bonas bilong rulet, olsem kupon matchplay, sip yu no inap senisim long mani, na mani ol i givim bek long lus, i mekim liklik mani i go long kasino i go long pleia. Sapos yu kaunim stret pe bilong ol, sampela i gat pe i winim samting wil i kisim.
Kupon i mekim pe bilong bet wan-long-wan i kamap dabel i gat pe klostu 46% bilong bet long wil bilong Yurop. Sip promosen bilong wanpela taim tasol i gat pe (36 − n)/37 bilong pe i stap long en, long bet i karamapim n namba: 95% long bet long wanpela namba, 49% long ret. Sapos ol i givim bek hap bilong lus tru bilong yu, sotpela sesen long ret i gutpela long pilai. Wanpela bilong ol dispela i no senisim wil. Ol i senisim husat i baim.
Bilong wanem promosen i ken winim edj
Edj bilong kasinomatematikEdj bilong kasinoHap bilong olgeta mani bilong bet kasino i holim long avarej: 2.70% long rulet bilong Yurop.Ritim olgeta → em pe long wanwan 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 → yu betim: 2.70% long wil bilong Yurop. Bonas bilong rulet i putim mani long wanpela sait bilong bet. Sapos em i putim moa long 2.70% bilong mani bilong bet, dispela bet i givim win long avarej inap promosen i pinis. Ol kasino i givim yet, long wanem ol i gat mak: wanpela kupon long wanpela visit, sipmaniSipSamting i makim wanpela namba mani i no save senis, yu putim long laiaut bilong mekim bet. Narapela nem: check.Ritim olgeta → yu ken betim tasol yu no ken senisim long mani, na mani i kam bek long ol pleia i lusim bikpela mani tasol. Matematik em i wankain olsem long olgeta hap bilong dispela sait: sans taim pemaniPeMani bet i win i givim yu, ol i tok olsem “X long 1”, antap long mani bilong bet i kam bek.Ritim olgeta →, na bungim long olgeta risalt.
Kupon matchplay
Kupon matchplay i stap klostu long wanpela bet bilong mani tru na i mekim pe bilong bet i kamap dabel sapos em i win. Win o lus, kasino i kisim bek kupon. Bollman (2024) i kaunim pe bilong wanpela kupon bilong Las Vegas long 2022 i givim wankain mani inap $50 long bet wan-long-wanbetBet wan-long-wanRet/blak, od/iven, antap/daunbilo. 18 namba, pe em i 1:1.Ritim olgeta →. Long wil bilong Yurop, $50 long retbetRetBet wan-long-wan long 18 namba ret. Tok Frans: rouge.Ritim olgeta → wantaim kupon i winim $100 wantaim sans 18/37, na i lusim $50 wantaim sans 19/37: avarej +$22.97, o 45.9% bilong bet. Long wil bilong Amerika em +$21.05, 42.1%. Long bet long wanpela nambabetWanpela nambaWanpela namba tasol, pe em i 35:1.Ritim olgeta →, wankain kupon bai i gat pe tupela taim moa. Olsem na ol kupon i bilong ol bet wan-long-wan tasol.
Sip yu no inap senisim long mani
Sip promosen, ol i kolim tu non-negotiable chips, yu ken betim tasol yu no inap senisim long mani. Lo i save stap em wanpela taim tasol. Sapos bet i win, ol i pe long nambawan sip na i kisim sip promosen. Sapos em i lus, ol i kisim tu. Sip $100 long bet i karamapim n namba i winim (36 − n)/n × $100 wantaim sans n/37. Olsem na pe bilong en em (36 − n)/37 bilong pe i stap long en. Pe bilong sip yet i no save kam bek, ol win tasol. Olsem na bet i no save win planti tasol i pe bikpela i lusim liklik tru long dispela rot: $94.59 long bet long wanpela namba, $48.65 long ret. Long hap we sip i ken stap long laiauttulLaiautGrid bilong bet ol i prinim long tebol. Narapela nem: table, felt, cloth.Ritim olgeta → inap em i lus, bet wan-long-wan i gat pe 18/19 bilong pe i stap long en long wil bilong Yurop, na 9/10 long wil bilong Amerika (Bollman, 2024).
Senisim ol sip long mani
Pe em i avarej. Pleia i laik kisim mani long sua inap long baim long hej. Eksampel bilong Bollman i kam long kasino Vegas World bilong bipo: $1,000 sip bilong wanpela taim long wil bilong Amerika, $500 long ret na $500 long blakbetBlakBet wan-long-wan long 18 namba blak. Tok Frans: noir.Ritim olgeta →, wantaim $20 mani tru long wanwan long 0 na 00. Ret o blak i winim $500 na i lusim $40 mani tru: +$460. 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 lusim tupela sip na i pe $700 long mani tru: +$680. Pleia i kisim $460 o moa, na avarej, $471.58, em 99.6% bilong pe bilong ol sip long ret tasol. Long hap we lo i orait long putim sip long wanpela namba, wil bilong Yurop i givim hej i gutpela moa: sip $25 long olgeta 36 namba ($900) na $25 mani tru long siro. Wanem namba i kamap i pe $875. Mani tru long siro i lus sapos siro yet i no kamap. Olsem na pleia i holim $850 o moa, 94% bilong pe i stap long ol sip, na nogat wanpela hevi.
Mani i kam bek long lus
Ol pleia i betim bikpela mani i save kisim ofa bilong rebet: hap bilong lus tru bilong ol i kam bek long pinis bilong wanpela sesen ol i bin wanbel long en. Rebet i pe taim yu lus tasol. Olsem na em i gat pe moa taim ol risalt i go antap daun bikpela na sesen i sot inap edj i no winim yet. Epstein (2013) i wokim long wil bilong Amerika; ol namba bilong mipela bilong wil bilong Yurop i stap daunbilo. Sapos hap bilong lus tru i kam bek, bet wan-long-wan wankain oltaim i gutpela long pilai inap 103 tanim, na i gutpela tru long 25, wantaim pe +0.51 mani bilong bet long avarej. Long bet long wanpela namba, ol go antap daun i bikpela tumas, olsem na sesen i givim win inap klostu 3,600 tanim na i gutpela tru long 882, wantaim pe +17.25 mani bilong bet. Wantaim 10% i kam bek, olsem i save kamap, wan-long-wan i givim win long wanpela tanim tasol. Tasol bet long wanpela namba i gutpela tru long 20 tanim, wantaim pe +0.62 mani bilong bet.
Lo bilong promosen bilong rulet: wanem samting kasino i wetim
Olgeta promosen i gat mak, na mak i lukautim kasino: wanpela kupon long wanpela visit, sip ol i givim long wanpela mani i no senis, na rebet ol i wanbel long en wantaim ol pleia tasol we avarej lus bilong ol long wanpela trip i winim tru mani i kam bek. Pleia i yusim kupon na i stap long nait bilong ol bet $50 long ret i givim bek $22.97 insait long 17 tanim, long $1.35 long wanpela tanim. Pe em i tru bilong pleia i kisim na i go, o bilong pleia i bin laik pilai olsem maski.
Fomula
Ol askim
Bilong dispela wanpela bet i go wantaim em, yes. Olgeta narapela bet i kostim 2.70% bilong mani bilong bet yet.
Liklik pleia tasol i save tingim, ol sip i gat mak, na kasino i kaunim pinis pe bilong promosen olsem advetaisin.
I no planti taim. Em i samting bilong ol pleia i betim bikpela mani. Planti taim ol i wanbel long en wantaim wanpela host bilong kasino, na ol i pe long lus tru long wanpela trip.
Amamas wantaim Matematik
Traim ol dispela yu yet pastaim. Bekim bilong wanwan i hait; opim taim yu redi.
Ol i givim yu promosen sipmaniSipSamting i makim wanpela namba mani i no save senis, yu putim long laiaut bilong mekim bet. Narapela nem: check.Ritim olgeta → bilong $25 em ol i kisim bek bihain long wanpela bet, win o lus. Yu mas putim we: long retbetRetBet wan-long-wan long 18 namba ret. Tok Frans: rouge.Ritim olgeta →, long dosenbetDosen1–12, 13–24 o 25–36, pe em i 2:1.Ritim olgeta → o long wanpela namba?
Soim bekim
Bekim Long wanpela namba. Long hap em i gat velyu $23.65 long avarej; long dosen $16.22 na long ret $12.16.
Sip yet i no save kam bek, samting em i winim tasol. Long ret em i winim $25 wantaim sans 18/37: $12.16. Long dosen em i winim $50 wantaim sans 12/37: $16.22. Long wanpela namba em i winim $875 wantaim sans 1/37: $23.65.
Long olgeta, bet long n namba i gat velyu (36 − n)/37 bilong sip, olsem na sapos ol namba i liklik, em i gutpela moa. Long nomol sip dispela i no senisim wanpela samting, long wanem bet i kam bek wantaim olgeta win na olgeta bet i gat velyu 36/37 bilong en. Taim ol i kisim bet i go, dispela i bagarapim ol bet i save win planti taim na i no tasim tumas bet i win wanpela taim long 37.
Wanpela kasino bai givim bek hap bilong lus tru bilong yu bihain long wanpela tanim tasol. $100 long ret i gutpela long pilai? Na $100 long wanpela namba?
Soim bekim
Bekim Tupela i gutpela: klostu +$22.97 long ret na +$45.95 long namba.
Long ret yu winim $100 wantaim sans 18/37 na, bihain long mani i kam bek, yu lusim $50 wantaim sans 19/37: (1,800 − 950)/37 = +$22.97.
Long wanpela namba yu winim $3,500 wantaim sans 1/37 na lusim $50 wantaim sans 36/37: (3,500 − 1,800)/37 = +$45.95.
Em ol namba bilong matchplay gen. Bet $100 i lusim $50 tasol i winim $100 o i lusim $50, stret olsem bet $50 wantaim kupon i dabolim win bilong en. Long sesen i longpela moa, mani i kam bek long risal tru tasol, ol win na lus i katim narapela pastaim long ol i peim, na velyu i go daun; long ret wantaim hap i kam bek, 25 tanim em longpela i gutpela tru.
Kasino bai givim bek hap bilong lus tru bilong yu bihain long namba bet $100 long ret yu makim pastaim: 1, 2 o 3 tanim. Wanem i gat bikpela velyu tru?
Soim bekim
Bekim Tripela tanim: klostu +$31.45. Wanpela tanim i gat velyu +$22.97, na tupela +$20.96 tasol.
Wanpela tanim: winim $100 wantaim sans 18/37, o lusim $100 na kisim bek $50 wantaim sans 19/37: +$22.97, olsem long eksasais antap.
Tupela tanim: tupela i win (324 taim long 1,369), +$200. Wanwan (684 taim), $0, nogat samting i kam bek. Tupela i lus (361 taim), −$200, −$100 bihain long mani i kam bek. Avarej: (200 × 324 − 100 × 361)/1,369 = +$20.96. Mani i kam bek i pe long lus tasol, na tupela tanim i senisim planti lus bilong wanpela tanim i kamap no win no lus.
Tripela tanim i no inap kamap no win no lus. Tripela win (5,832 taim long 50,653): +$300. Tupela win (18,468): +$100. Wanpela win (19,494): −$100, i kam bek long −$50. Nogat (6,859): −$300, i kam bek long −$150. Avarej: +$31.45.
Mani i kam bek i gat bikpela velyu moa sapos yu promis long longpela taim, na edj i kostim $2.70 tasol long wanwan tanim, olsem na velyu i go antap klostu +$51 long 25 tanim (lukim namba tebol antap), na namba od bilong tanim oltaim i winim namba iven bihain long en.
Wanpela kasino long Las Vegas i bin givim kupon: betim $5 long 00 na, sapos em i win, ol i peim yu $250, i no nomol $175. Bet $5 wantaim kupon i gat velyu hamas, olsem hap bilong bet, long wil bilong en i gat dabel 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 →?
Soim bekim
Bekim Klostu +34%: bet i gat velyu +$1.71 long avarej. Sapos $250 i holim $5 i kam bek, em +31.6%.
00 i win wanpela taim long 38 tanim. Wantaim kupon: +$250 wanpela taim, −$5 long ol narapela 37 taim. Avarej: (250 − 37 × 5)/38 = 65/38 = +$1.71, em 34.2% bilong $5. Sapos i nogat kupon: (175 − 185)/38 = −$0.26, nomol −5.26%.
Sapos $250 em olgeta mani i kam bek, win em $245 na avarej em (245 − 185)/38 = +$1.58, o 31.6%.
Bollman (2024) i putim dispela kupon, bilong kasino Lady Luck (nau Downtown Grand), olsem eksasais; bekim ol i prinim wantaim, 7.89%, i no stret long tupela tingting. Olsem kupon bilong matchplay, em i gat velyu wanpela taim: pilai long en na stop.
Liklik lap
Promosen i gat pe moa tru long pleia i kisim na i go bek long haus.
Ol As bilong Save
- Bollman, M. Basic Gambling Mathematics: The Numbers Behind the Neon, 2nd ed.
- Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed.