Matematik bilong Rulet · Namba tebol bilong lukim · 5 min

Namba Tebol bilong Ods na Sans long Rulet

Olgeta bet i stret wantaim sans bilong en, pe, ekspektet velyumatematikEkspektet velyuAvarej resal long wanpela bet long longpela taim. −1/37 bilong mani bilong bet long olgeta bet olpasin bilong Yurop.Ritim olgeta → na standet diviesen.

Sotpela bekim

Olgeta bet i gat wankain ekspektet velyu, −2.70% bilong mani bilong bet. Ol i narakain tasol long sans na spred.

ol bet i stap long lis
9
EV, olgeta bet
−2.70%
σ i go long
1.00 i go 5.84
ol bet yu singautim
em tu 2.70%

Olsem wanem long ritim dispela namba tebol bilong ods bilong rulet

SansmatematikSansSans bilong wanpela resal, long 0 i go 1 o 0% i go 100%. Wanpela namba: 1/37 = 2.70%.Ritim olgeta → i tokim yu hamas taim yu save win. PemaniPeMani bet i win i givim yu, ol i tok olsem “X long 1”, antap long mani bilong bet i kam bek.Ritim olgeta →, ol i kolim ods bilong rulet, i tokim yu hamas mani. σ i tokim yu raun bilong yu bai i go antap daun hamas. Kolam bilong EV em i wankain long olgeta lain, long wanem ol i wokim olsem. Olsem na dispela namba tebol em i lis bilong ol 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 → long wanpela pe tasol.

beti karamapimp(win)i peσ long $1
Wanpela namba1/372.70%35:15.84
Tupela namba2/375.41%17:14.09
Bet long tripela namba3/378.11%11:13.28
Fopela namba4/3710.81%8:12.84
Bet long sikispela namba6/3716.22%5:12.23
Dosen12/3732.43%2:11.39
Kolam12/3732.43%2:11.39
Wan-long-wan18/3748.65%1:11.00
EV em −$0.027 long $1 long olgeta lain.

Ol bet yu singautim

Ol bet long seksenwilSeksenWanpela hap bilong wil we ol hul i stap wan bihain long narapela, i narakain long wanpela grup long laiaut.Ritim olgeta → i bung bilong ol nambawan bet, na ol i kisim edj bilong ol. Wanwan i gat pe bilong em yet, long wanem ol sipmaniSipSamting i makim wanpela namba mani i no save senis, yu putim long laiaut bilong mekim bet. Narapela nem: check.Ritim olgeta → i no stap wankain long olgeta namba.

bet yu singautimsipi karamapimp(wanpela i win)win tru taim i win (yunit)EV long wanpela yunit
Ol namba klostu (5)55/3713.51%+31−2.70%
Jeu zéro47/3718.92%+14 o +32−2.70%
Orphelins58/3721.62%+13 o +31−2.70%
Tiers du cylindre612/3732.43%+12−2.70%
Voisins du zéro917/3745.95%+9 o +15−2.70%

Ekspektet Velyu bilong Ol Bet Yu Singautim

Long sampela tanim

Sans bilong wanpela win o moa insait long k tanim, bilong sampela askim ol manmeri i save askim.

betinsait long 10 taniminsait long 37 taniminsait long 100 tanim
Wanpela namba24.0%63.7%93.5%
Tupela namba42.6%87.1%99.6%
Fopela namba68.1%98.6%> 99.9%
Dosen98.0%> 99.9%> 99.9%
Siro (em yet)24.0%63.7%93.5%
1 − (1 − p)ᵏ.

Spred bilong sesen

Standet diviesenmatematikStandet diviesenSkwea rut bilong varians; hamas longwe resal i save stap long ekspektet velyu.Ritim olgeta → bilong sesen bilong 100 tanim long $10 wankain oltaim, long wanwan bet. Olgeta i gat wankain ekspektet risalt, −$27.

σ bilong 100 tanim long $10$
Wanpela namba
$584
Tupela namba
$409
Bet long tripela namba
$328
Fopela namba
$284
Bet long sikispela namba
$223
Dosen / kolam
$139
Wan-long-wan
$100
$
0292$584

Ol askim

Bilong wanem EV i wankain long olgeta lain?

Long wanem olgeta pe em 36/n − 1, na pe i stret em 37/n − 1. Lukim pes bilong edj bilong kasinomatematikEdj bilong kasinoHap bilong olgeta mani bilong bet kasino i holim long avarej: 2.70% long rulet bilong Yurop.Ritim olgeta →.

La partage i stap we?

Ol bet wan-long-wanbetBet wan-long-wanRet/blak, od/iven, antap/daunbilo. 18 namba, pe em i 1:1.Ritim olgeta → long tebol bilong Frans: p na pe i no senis, EV −1.35%, σ ≈ 0.99.

I gat namba tebol bilong wil bilong Amerika?

Brukim long 38, i no long 37. Orait kolam bilong EV i kamap −5.26% long olgeta lain, na −7.89% bilong bet long faivpela namba.

Liklik lap

Nainpela bet, wanpela ekspektet velyu, nogat tingting long bipo.

Nainpela bet, wanpela ekspektet velyu, nogat tingting long bipo.

Ol As bilong Save

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Sapta 13, rulet.
Matematik bilong RuletSans long RuletMatematik bilong RuletVariansLainim RuletOl Pe bilong RuletOl Tul bilong RuletKalkuleta bilong Ods long Rulet
mipela i skelim gen long 2026-09-28model: Yurop, wanpela sirometodoloji ↗ol as bilong save ↗