Matematik bilong Rulet · Yusim long pilai · 7 min

Avarej Lus

Ekspektet velyu taims olgeta mani yu betim: em i pe bilong sesen long avarej.

Sotpela bekim

Avarej lus = olgeta mani yu betim × 1/37. Bet $10, 100 tanim: yu betim $1,000, avarej lus $27. Ol progresen i betim planti moa, olsem na ol i lus planti moa.

long olgeta $1 yu betim
$0.027
$10 × 100 tanim
$27
$10 × 50/aua
$13.50 / aua
long wanpela yia, olgeta wik
≈ $700

Olgeta mani yu betim, i no mani bilong pilai

Avarej lusmatematikAvarej lusEkspektet velyu taims olgeta mani yu betim; avarej mani yu lusim long wanpela sesen o long wanpela taim.Ritim olgeta → i hangamap long hamas mani i go long tebol, i no long hamas mani yu kisim i kam. Mani bilong pilaimaniMani bilong pilaiOlgeta mani yu putim long sait bilong pilai. Lukautim mani bilong pilai em i makim hamas long en yu redi long lusim long wanpela bet na long wanpela sesen.Ritim olgeta → bilong $100 yu betim gen planti taim inap karim $2,000 bilong 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 → na $54 avarej lus; mani bilong pilai bilong $10,000 yu betim wanpela taim long retbetRetBet wan-long-wan long 18 namba ret. Tok Frans: rouge.Ritim olgeta → i karim $10,000 bilong olgeta mani yu betim na $270. Mani bilong kasino em i olsem takis long rot, na ol kar long rot em i olgeta sipmaniSipSamting i makim wanpela namba mani i no save senis, yu putim long laiaut bilong mekim bet. Narapela nem: check.Ritim olgeta → long olgeta tanim.

Fomula

E[lus] = Σ ol bet / 37. Long pleia i bet wankain oltaim, em i mani bilong bet × ol tanim / 37. Long 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 →, em i avarej bet × ol tanim / 37, na avarej bet i antap moa long bet bilong stat, long wanem ol bet i go antap long taim bilong lus. MartingalestratejiMartingaleProgresen i mekim bet i dabel bihain long olgeta lus. Lukim hap Strateji long wanem samting em i mekim na i no mekim.Ritim olgeta → i stat long $10 wantaim mak $500 i gat avarej klostu $28 long wanpela tanim long longpela sesen, olsem na em i lus klostu tripela taim moa long bet wankain oltaim long $10, na em i no senisim ods bilong wanpela bet.

pilaiavarej betmani yu betim long 100 tanimavarej lus
Wankain oltaim $10$10$1,000$27
D’Alembert, stat long $10≈ $14≈ $1,400≈ $38
Fibonacci, stat long $10≈ $17≈ $1,700≈ $45
Martingale, stat long $10, mak $500≈ $28≈ $2,800≈ $75
Wankain oltaim $10, tebol i gat la partage$10$1,000$13.50
Avarej bilong simulesen. Edj long olgeta dola em i 2.70% long olgeta lain, tasol i no long las lain.

Strateji bilong Bet Wankain Oltaim long Rulet

Spit

Ol tebol i laiv i ranim 40–60 tanim long wanpela aua, ples pilai bilong kasino 30–50, ol tebol bilong spit 90 o moa, ol tebol bilong RNG kwik olsem yu klikim. Long wankain mani bilong bet, spit em i bikpela samting moa i senisim avarej lus long wanpela aua: sapos yu lusim tebol i isi long ples pilai na yu go long tebol bilong RNG long 200 tanim long wanpela aua, pe bilong nait i go antap fopela taim, na ods i no senis.

Avarej lus long wanpela aua long $10 long wanpela tanim$ long wanpela aua
Ples pilai bilong kasino · 40/aua
$10.81
Tebol i laiv · 55/aua
$14.86
Laiv i kwik · 100/aua
$27.03
RNG · 200/aua
$54.05
$ long wanpela aua
027.03$54.05
mani bilong bet × tanim long wanpela aua / 37. Spit em i bikpela samting moa i makim pe bilong wanpela aua.

Rulet Laiv na Rulet RNG

Long wanpela yia

Wanpela man i save kam oltaim na i pilai tupela aua long wanpela wik long $10 long tebol i laiv bilong 50 tanim, em i betim $52,000 long wanpela yia, na em i baim klostu $1,400 long avarej lus long wil bilong Yurop, $700 long wil bilong Frans, $2,700 long wil bilong Amerika. Kaunim i no gat amamas, tasol tok i kamap long en i bikpela: wil na tebol yu makim i gat strong i winim olgeta sistem i go inap long nogat pinis, long wanem ol sistem i gat strong stret 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 →.

Avarej lus long wanpela yia: 2 aua/wik, $10 long wanpela tanim, 50 tanim/aua$
Frans (wan-long-wan)
$702
Yurop
$1,405
Amerika
$2,737
Tebol bilong spit, Yurop, 100/aua
$2,811
$
01405.50$2,811

Pilai i gat velyu i winim olgeta beng

Pilai bilong St. Petersburg, Nicolaus Bernoulli i givim long 1713, i tromoi koin inap em i pundaun long het, na em i pe $2 sapos em i kisim wanpela tromoi, $4 sapos tupela, $8 sapos tripela, na em i dabel olgeta taim. Olgeta longpela inap kamap i putim $1 long ekspektet velyumatematikEkspektet velyuAvarej resal long wanpela bet long longpela taim. −1/37 bilong mani bilong bet long olgeta bet olpasin bilong Yurop.Ritim olgeta →, olsem na long pepa pilai i gat velyu i no gat pinis. I no gat beng inap pe ol praiz i no gat pinis, na taim ol i pasim ol praiz long mani beng i holim, velyu i pundaun: wantaim beng bilong $1 milion, pilai i gat velyu klostu $21, wantaim $1 bilion klostu $31. Martingale em i wankain pilai yu lukim long narapela sait. Em i winim 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 → klostu long olgeta saikel na i lusim olgeta samting long wanpela longpela ran i no save kamap planti. Sapos i no gat mak, ol bikpela win moa yet bai baim ol longpela ran; tasol wantaim mak, ol i no baim. Olsem na mak bilong teboltebolMak bilong tebolBet liklik tru na bet bikpela tru ol i larim. Mak antap em i samting i stopim ol progresen i save dabel.Ritim olgeta → i makim olsem wanem Martingale i bruk, tasol i no makim sapos em i bruk o nogat.

beng inap pe i go inapstretpela pe bilong pilai
$100$7.56
$10,000$14.22
$1 milion$20.91
$1 bilion$30.86
Stretpela pe em i avarej pe taim olgeta praiz i winim mani bilong beng ol i pe olsem olgeta mani bilong beng.
Pilai bilong St. Petersburg: long pepa velyu bilong en i no gat pinis, tasol em i klostu $21 taim beng i holim $1 milion.

Ol Mak bilong Tebol long Rulet

Avarej lus i no samting i kamap

Olgeta wan wan sesen bai narakain long avarej lus bilong en, planti taim moa long avarej lus yet. Long 100 tanim wan-long-wan long $10, standet diviesenmatematikStandet diviesenSkwea rut bilong varians; hamas longwe resal i save stap long ekspektet velyu.Ritim olgeta → em i $100 na avarej em i −$27; sesen bilong win em i samting nating. Avarej lus em i pe; 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 → em i paket bilong en; samting i kamap long wanpela nait em i wanpela samting tasol yu kaunim.

Fomula

E[lus] = Σ ol bet / 37
E[lus long wanpela aua] = mani bilong bet × tanim long wanpela aua / 37

Ol askim

Kasino i kisim 2.70% bilong mani mi baim sip long en?

Nogat. 2.70% bilong olgeta mani yu betim. Sapos yu betim gen ol win, yu betim ol gen.

Liklik bet i save daun moa long pe oltaim?

Long wanpela aua, yes, long wankain spit. Long olgeta mak yu kamap long en, nogat: lukim hevi long lusim olgeta manimatematikHevi long lusim olgeta maniSans long lusim olgeta mani bilong pilai paslain long yu kamap long mak yu laik kisim o long namba bilong ol tanim.Ritim olgeta →.

Ol presen bilong kasino (comps) i wok olsem wanem?

Ol kasino i skelim avarej lus bilong yu long avarej bet na hamas taim yu pilai, na ol i givim bek liklik hap bilong en olsem presen. Ol i givim bek hap bilong pe tasol, ol i no givim edj long yu.

Liklik lap

Olgeta mani yu betim × 1/37. Klok i stap insait long fomula.

Olgeta mani yu betim × 1/37. Klok i stap insait long fomula.

Ol As bilong Save

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Sapta 13, rulet.
  2. Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed. Academic Press, 2013.
  3. Taylor, D. G. Games, Gambling, and Probability: An Introduction to Mathematics, 2nd ed. CRC Press, 2021.
mipela i skelim gen long 2026-09-28model: Yurop, wanpela sirometodoloji ↗ol as bilong save ↗