Matematik bilong Rulet · Bikpela tingting · 8 min

Sans long Rulet

Olgeta sans long rulet em i hamas hul yu kaunim, na yu brukim long 37.

Sotpela bekim

p = ol namba bet i karamapim / 37. Wanpela namba: 2.70%. Etin: 48.65%. Sans bilong wanpela lain namba i kamap long stretpela oda, yu kisim long rot bilong taimsim ol sans bilong wan wan tanim.

wanpela namba
1/37 · 2.70%
dosen
12/37 · 32.43%
wan-long-wan
18/37 · 48.65%
tupela ret
23.67%

Wanpela tanim

Olgeta 37 hultulHulWanpela long ol 37 hul i gat namba long rota. Narapela nem: slot, cup.Ritim olgeta → i gat wankain sans, olsem na sans bilong win long rulet long wanpela tanim em i samting bilong kaunim tasol. Bet long fopela namba i save win 4/37 bilong ol taim, klostu 10.8%. I no gat moa samting long sansmatematikSansSans bilong wanpela resal, long 0 i go 1 o 0% i go 100%. Wanpela namba: 1/37 = 2.70%.Ritim olgeta → bilong wanpela tanim, na olsem na yu inap skelim olgeta pilai long wanpela liklik pepa.

Sans bilong win, long olgeta kain bet% bilong ol tanim
Bet long wanpela namba (1)
2.70%
Bet long tupela namba (2)
5.41%
Bet long tripela namba (3)
8.11%
Bet long fopela namba (4)
10.81%
Bet long sikispela namba (6)
16.22%
Dosen / kolam (12)
32.43%
Bet wan-long-wan (18)
48.65%
% bilong ol tanim
024.3248.65%
Olgeta bet em i ol namba em i karamapim, brukim long 37. Pe i go daun taim bet i karamapim planti namba moa, olsem na ekspektet velyu em i wankain −2.70% long olgeta lain.

Planti tanim

Ol tanim i no hangamap long narapela, olsem na yu taimsim ol sans bilong wanpela lain namba. Tupela retbetRetBet wan-long-wan long 18 namba ret. Tok Frans: rouge.Ritim olgeta → wanpela i bihainim narapela: (18/37)² = 23.7%. Ret na bihain 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 →: (18/37)(1/37) = 1.3%. Sevintin tupela taim wanpela i bihainim narapela: (1/37)² = 0.073%, klostu wanpela long 1,369. Oda i makim samting long wanpela stretpela lain, tasol i no long kaunim: “ret na bihain blakbetBlakBet wan-long-wan long 18 namba blak. Tok Frans: noir.Ritim olgeta →” em i 25.0%, tasol “wanpela ret na wanpela blak long tupela tanim, long wanem oda” em i 50.0%.

Ol Tanim bilong Rulet i No Hangamap long Narapela

Wanpela taim o moa

Yusim narapela sait. Sans olsem bet long wanpela nambabetWanpela nambaWanpela namba tasol, pe em i 35:1.Ritim olgeta → i no kamap wanpela taim long 37 tanim em i (36/37)³⁷ = 36.3%, olsem na sans long em i kamap wanpela taim o moa em i 63.7%. Em i no “klia olgeta” olsem planti pleia i ting long 37 sans bilong 1 long 37. Dispela kaunim yet i tok olsem wanpela namba i gat klostu 1 long 3 sans long i no kamap wanpela taim tu long 37 tanim. Olsem na bod bilong ol namba i kamap i save soim sampela “kol” namba oltaim.

tanimp(i no kamap, bet long wanpela namba)p(kamap wanpela taim o moa)
1076.0%24.0%
3736.3%63.7%
7413.2%86.8%
1006.5%93.5%
1501.7%98.3%
2000.4%99.6%
(36/37)ⁿ na 1 − (36/37)ⁿ. Maski bihain long 100 tanim, wanpela namba long fiftin i no kamap yet.

Ol Resal bilong Rulet: Ritim Bod

Taim yu ken wet long en

Long avarej, wanpela namba i save kamap wanpela taim long olgeta 37 tanim, tasol taim bilong wet i senis bikpela tru: namba long namel bilong wet em i klostu 25 tanim (hap bilong ol taim em i kamap kwik moa), na wanpela wet long twentipela i go winim 110 tanim. Ol taim bilong wet long kain samting olsem i gat longpela tel, na pleia i “save” olsem wanpela namba “i mas kam nau” bihain long 60 tanim, em i tokaut long samting i save kamap wanpela taim long faivpela.

Tingting i No Tru: Ol Namba "i Mas Kam Nau"

Ol rong i save kamap planti

Yu bungim ol sans bilong tupela samting i inap kamap wantaim (ret o od i no 36/37; em i 26/37, long wanem tenpela namba i tupela wantaim). Yu taimsim ol sans bilong samting long wankain tanim (ret na od long wanpela tanim em i 10/37, i no 18/37 × 18/37). Yu ting ol tanim i go pinis i hap bilong lain yu putim bet long en nau: bihain long tenpela ret, sans bilong narapela ret gen em i 18/37, i no (18/37)¹¹.

Ol ods long rulet em i wanem, na olsem wanem ol i narakain long sans?

Ol kasino i save tokaut long ol pemaniPeMani bet i win i givim yu, ol i tok olsem “X long 1”, antap long mani bilong bet i kam bek.Ritim olgeta → olsem ods. Wanpela namba i save win wantaim sans 1/37, olsem na ods bilong win long rulet long wanpela namba em i 36 long 1 i birua long yu. Pe bilong 35 long 1 i sot 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 →, na dispela em i edj bilong kasinomatematikEdj bilong kasinoHap bilong olgeta mani bilong bet kasino i holim long avarej: 2.70% long rulet bilong Yurop.Ritim olgeta → long pasin bilong en long pastaim. Long senisim: ods i birua = (1 − p)/p; sans = 1/(ods + 1).

Fomula

p(bet) = n / 37
p(A na bihain B) = p(A) · p(B)
p(wanpela taim o moa long k) = 1 − (1 − p)ᵏ
ods i birua = (1 − p) / p

Ol askim

Sans bilong siro i kamap tupela taim wanpela i bihainim narapela em i wanem?

(1/37)² = 1/1369 ≈ 0.073%.

Sans bilong ret o blak em i wanem?

36/37 = 97.3%. Siro em i hap i stap.

17 em i namba i save kamap planti moa?

Olgeta 37 i 1/37. Sevintin em i namba ol man i save putim bet long en planti moa, na dispela em i tok long pasin bilong ol man.

Amamas wantaim Matematik

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

  1. Yu betim retbetRetBet wan-long-wan long 18 namba ret. Tok Frans: rouge.Ritim olgeta →, tanim bihain long tanim. Wanem sans olsem win namba faiv bilong yu i kamap stret long tanim namba et? Na olsem yu gat faivpela win insait long etpela tanim pastaim?

    Soim bekim

    Bekim 12.9%, klostu 1 long 8, long win namba faiv long tanim namba et. 33.4% long faivpela win inap long dispela taim.

    Win namba faiv long tanim namba et i min tupela samting: tanim namba et i win, na sevenpela tanim pastaim i holim fopela win stret na tripela lus, long wanem lain. I gat 35 rot long putim fopela win namel long sevenpela tanim.

    Olsem na sans em 35 × (18/37)⁵ × (19/37)³ = 35 × 0.02725 × 0.1354 = 12.9%.

    Long faivpela win inap long tanim namba et, putim wankain kain hap long win namba faiv long tanim namba faiv, sikis na seven: 2.7% + 7.0% + 10.8% + 12.9% = 33.4%. Ol saveman bilong statistik i kolim dispela negative binomial distribution: hamas traim namba bilong win i no senis i kisim. Taylor (2021) i wokim wankain askim long wil bilong Amerika, 12.2%.

Liklik lap

Kaunim ol hul. Brukim long 37. Taimsim bilong ol lain namba. Pinis.

Kaunim ol hul. Brukim long 37. Taimsim bilong ol lain namba. Pinis.

Ol As bilong Save

  1. Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, namba 3 edisen, 1968. Gembla i lusim olgeta mani, sapta XIV.
  2. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Sapta 13, rulet.
  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 ↗