Matematik bilong Rulet · Yusim long pilai · 7 min

Longpela bilong Sesen na Pe Yu Lusim

Hamas taim mani bilong pilai i ken stap long wanpela mani bilong bet, na hamas ol aua i kostim. Planti pleia i no save kaunim ol dispela namba, tasol planti i mas kaunim.

Sotpela bekim

Bet wan-long-wan wankain oltaim i stap, long avarej, 37 tanim long wanwan mani bilong bet insait long mani bilong pilai. Tasol hap bilong olgeta sesen i pinis kwik moa long dispela. Avarej lus long wanpela aua em mani bilong bet × tanim long wanpela aua / 37. Tupela wantaim i helpim yu long save long pe bilong wanpela nait bipo em i stat.

taim inap lusim olgeta mani (wan-long-wan)
37 × B/s tanim, long avarej
$500 long $10
≈ 1,364 tanim, namba long namel
pe long wanpela aua
s × tanim/h / 37
$10 long 50/h
$13.51 long wanpela aua

Hamas taim mani bilong pilai i ken stap

Wantaim 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 → B na bet wan-long-wan wankain oltaim s, mani bilong pilai i go daun isi isi long s/37 long wanpela tanim long avarej. Em i go antap o daun klostu long s long wanwan tanim tu. Dispela go daun isi isi tasol i makim avarej: mani bilong pilai i stap 37 × B/s tanim, long wanem em i taim yu nidim bilong lusim B long s/37 long wanpela tanim. Ol go antap daun i mekim ol longpela bilong sesen i no wankain. Sampela sesen i pinis kwik long wanpela ran nogut, na sampela i stap longpela moa tru. Namba long namel, em longpela we hap bilong olgeta sesen i no kisim, i stap aninit long avarej. Mani bilong pilai $500 long $10 (B/s = 50) i stap 1,850 tanim long avarej na 1,364 long namba long namel. Em klostu 27 aua long tebol laiv. Long $50 (B/s = 10) namba long namel em 136 tanim, i no inap tripela aua.

mani bilong pilaimani bilong betB/snamba long namel bilong tanim inap lusim olgeta (wan-long-wan)long 50 tanim/havarej tanim inap lusim olgeta
$500$51003,134≈ 63 h3,700
$500$10501,364≈ 27 h1,850
$500$2520394≈ 8 h740
$500$5010136≈ 2 h 45 min370
$500$100541≈ 50 min185
$100$1010136≈ 2 h 45 min370
Stret namba, bet wankain oltaim long ret long wil bilong Yurop, i no gat lo bilong stop. Bet long wanpela namba i lusim olgeta kwik moa long olgeta lain, long wanem varians i bikpela moa.
Wankain mani bilong pilai, wankain mani bilong bet: sampela sesen i pinis kwik, sampela i stap longpela tru, na namba long namel i stap aninit long avarej.

Hamas ol aua i kostim

Avarej lusmatematikAvarej lusEkspektet velyu taims olgeta mani yu betim; avarej mani yu lusim long wanpela sesen o long wanpela taim.Ritim olgeta → long wanpela aua = mani bilong bet × tanim long wanpela aua / 37. Tupela namba yu yet i bosim em mani bilong bet na spit. Pleia i betim $10 long 50 tanim long wanpela aua i baim $13.51 long wanpela aua long tebol bilong Yurop, $6.76 long tebol bilong Frans, na $27 long tebol i go kwik. Makim hamas wanpela aua bilong rulet i gat pe long yu, na mani bilong bet bai kamap long en.

Avarej lus long wanpela aua long $10 long wanpela tanim$ long wanpela aua
Long kasino · 40/h
$10.81
Tebol laiv · 55/h
$14.86
Laiv i go kwik · 100/h
$27.03
RNG · 200/h
$54.05
$ long wanpela aua
027.03$54.05
mani bilong bet × tanim long wanpela aua / 37. Spit em bikpela samting tru i makim hamas wanpela aua i kostim.

Rulet bilong Frans

Putim tupela wantaim

Wanpela pleia i gat $500 i laik pilai fopela aua long nait long tebol laiv bilong 50 tanim (200 tanim), na em i no laik lusim olgeta. Em i no ken betim moa long klostu $25 (B/s = 20, namba long namel bilong lusim olgeta em 394 tanim). Avarej pe bilong nait em 200 × $25 / 37 = $135. Sapos $135 i bikpela tumas, mani bilong bet i go daun, na nait i kamap seif moa na i no dia tumas wantaim. Long $10, avarej pe em $54, na lusim olgeta bipo long 200 tanim i no save kamap planti.

Twelpela nait bilong fopela aua, $500 long $25 long retrisal na stat
+$1,050$0−$500+$400−$2500125250375500tanimrisal
1,000 sesen × 500 tanim · vaiolet p10/p25/p75/p90, blu i no strong namba long namel, 82 eksampel i no klia tumas · muvim maus antap long sat long lukim ol kwantail long wanpela tanim
  • p10 −$500
  • p25 −$500
  • namba long namel −$500
  • p75 −$50
  • p90 +$350
1,000 sesen × 500 tanim · lain y i katim long 1 i go 99 pesen (namba i go longwe tru −$500 i go +$1,700) · 500 tanim · $25 bilong stat · wan-long-wan
Avarej pinis: −$135. Planti lain i stap yet. Klostu wanpela nait long fopela i kisim siro. Long $10, klostu wanpela long 700 tasol bai kisim.

Sesen bilong bet long wanpela namba

Bilong ol bet long wanpela nambabetWanpela nambaWanpela namba tasol, pe em i 35:1.Ritim olgeta →, mani bilong bet i mas liklik moa bilong wankain longpela bilong sesen. σ long 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 → em 5.84, na bilong retbetRetBet wan-long-wan long 18 namba ret. Tok Frans: rouge.Ritim olgeta → em klostu 1. Olsem na mani bilong pilai i mas karamapim ol longpela taim nogat win. Namba long namel bilong 200 tanim i nidim B/s klostu 13 long ret na klostu 56 long wanpela namba, klostu fopela taim moa mani bilong bet. Mani bilong pilai $500 i stap 200 tanim bilong bet long wanpela namba long namba long namel i nidim mani bilong bet klostu $9. Ol pleia i betim $25 long wanpela namba long $500 i baim wanpela sotpela nait i gat bikpela nois. Twentipela mis wanpela bihain long narapela i pinisim, na dispela i save kamap moa long hap bilong taim.

Tru lis bilong pe

Rulet i kostim mani bilong bet × tanim / 37. Olgeta narapela samting, em sistem, namba bilong gutpela luk, o hej, i makim pasin bilong nait tasol, i no pe bilong en. Pleia i kaunim pe pastaim na i makim mani bilong bet em i amamas long baim, em i mekim pinis dispela wanpela hap bilong strateji tasol i save wok.

Fomula

E[pe long wanpela aua] = s × tanim/h / 37
avarej tanim inap lusim olgeta = 37 × B/s bilong wan-long-wan
wanpela namba: mekim B/s yu nidim i kamap ≈ 4 taim

Ol askim

I gat isi formula bilong namba long namel?

I no gat wanpela stret formula. Bilong liklik mani bilong pilai, ol go antap daun i strong moa na namba long namel i go antap klostu olsem (B/s)², olsem long koin i stret. Bilong bikpela mani bilong pilai, edj i strong moa na namba long namel i kam klostu long avarej, 37 × B/s. Long klostu 20 mani bilong bet, lo (B/s)² i kamap wankain olsem stret namba long namel, 394 tanim. Aninit long en em i sot, na antap long en em i longpela tumas.

Mak bilong stop long lus i senisim pe?

Em i banisim samting nogut tru i ken kamap na i mekim sesen i sot. Dispela i daunim avarej lus long hamas tanim yu no pilaim.

Na la partage?

Em i katim hap bilong pe long wanpela aua long ol bet wan-long-wanbetBet wan-long-wanRet/blak, od/iven, antap/daunbilo. 18 namba, pe em i 1:1.Ritim olgeta →, na i mekim avarej taim inap lusim olgeta i kamap dabel, long 74 × B/s tanim.

Amamas wantaim Matematik

Traim ol dispela yu yet pastaim. Bekim bilong wanwan i hait; opim taim yu redi.

  1. Yu betim $500 long retbetRetBet wan-long-wan long 18 namba ret. Tok Frans: rouge.Ritim olgeta →, $10 long wanwan taim, long wil bilong Yurop, na nogat lo bilong stop. Long avarej, 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 → i stap hamas tanim?

    Soim bekim

    Bekim 1,850 tanim: 37 tanim long wanwan long 50 bet.

    Wanwan tanim i kostim, long avarej, 1/37 bilong bet: $10/37, klostu 27 sen. Mani bilong pilai i holim 50 bet, na long lusim 50 bet long 1/37 bilong bet long wanwan tanim i kisim 50 × 37 = 1,850 tanim.

    Ol senis antap na daun i no senisim dispela avarej, long wanem sesen inap pinis long siro tasol na olgeta tanim bipo long dispela i kostim wankain 27 sen long avarej. Ol i senisim olsem wanem ol risal i stap: hap bilong olgeta sesen i pinis long tanim 1,364, na klostu wanpela long twenti i go winim 5,000, na dispela i pulim avarej i go antap.

    Epstein (2013) i givim lo bilong olgeta: long pilai wantaim kasino em mani bilong en i no save pinis, mani bilong pilai bilong z bet i stap z tilim long edj long wanwan tanim. Long wil bilong Amerika, we wan-long-wan i lusim 1/19 bilong bet long wanwan tanim, wankain $500 i stap 950 tanim long avarej.

Liklik lap

Mani bilong bet × tanim / 37. Kaunim pe bilong nait bipo em i stat.

Mani bilong bet × tanim / 37. Kaunim pe bilong nait bipo em i stat.

Ol As bilong Save

  1. Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, 3rd ed., 1968. Gambler’s ruin, sapta XIV.
  2. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Sapta 13, rulet.
  3. Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed. Academic Press, 2013.
Ol Strateji bilong Bet long RuletLukautim Mani bilong Pilai long RuletMatematik bilong RuletHevi long Lusim Olgeta ManiMatematik bilong RuletAvarej Lus
mipela i skelim gen long 2026-09-28model: Yurop, wanpela sirometodoloji ↗ol as bilong save ↗