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

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.
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.
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.
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 →.
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.

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
Ol askim
Nogat. 2.70% bilong olgeta mani yu betim. Sapos yu betim gen ol win, yu betim ol gen.
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 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.
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.
- Taylor, D. G. Games, Gambling, and Probability: An Introduction to Mathematics, 2nd ed.