Matematik bilong Rulet · Hevi bilong matematik · 7 min

Hevi: Hamas Taim Inap Siro i Kamap

Q: Siro i save kamap moa long sampela wil?

I no long stretpela wil. Long wil i gat bias, wanem hul i ken kamap moa, na yu bai nidim ol tausen tanim bilong save.

Siro i kamap wanpela tanim long 37 long avarej. Hamas taim yu save wet tru, na wanem dispela i mekim long pleia i putim bet wan-long-wan?

Sotpela bekim

Wet bilong siro em i jiometrik: avarej 37 tanim, namba long namel 25, na wanpela wet long twenti i winim 110 tanim. Long sesen bilong 200 tanim, pleia i putim bet wan-long-wan i ken wetim 5.4 siro, na bai lukim 1 i go inap 10.

avarej wet

37 tanim

namba long namel bilong wet

25 tanim

p(nogat siro long 100 tanim)

6.5%

siro long 200 tanim

5.4 ± 2.3

Hevi

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 → i gat sansmatematikSansSans bilong wanpela resal, long 0 i go 1 o 0% i go 100%. Wanpela namba: 1/37 = 2.70%.Ritim olgeta → 1/37 long wanpela tanim. (a) Wanem sans olsem nogat siro long 37 tanim i kam? (b) Wanem namba long namel bilong wet? (c) Long sesen bilong 200 tanim wan-long-wan, hamas siro pleia i ken wetim, na i go long hamas?

Ol bekim

(a) (36/37)³⁷ = 36.3%. Moa long wanpela hap long tripela bilong taim, 37 tanim i go pinis na nogat wanpela siro. Em wankain matematik olsem “wanpela win o moa long bet long wanpela nambabetWanpela nambaWanpela namba tasol, pe em i 35:1.Ritim olgeta → insait long 37 tanim” em 63.7% tasol. (b) Wet W em i jiometrik; p(W > k) = (36/37)ᵏ. Namba long namel em k we dispela i go daun aninit long 0.5, olsem k ≈ 25. Hap bilong ol wet em 25 tanim o sotpela moa, na hap i longpela moa. Avarej 37 i go antap long wanem sampela wet i longpela tru. (c) Siro long 200 tanim i binomial wantaim avarej 200/37 = 5.4 na standet diviesenmatematikStandet diviesenSkwea rut bilong varians; hamas longwe resal i save stap long ekspektet velyu.Ritim olgeta → √(200 × (1/37) × (36/37)) ≈ 2.3. Ol namba i stap insait 95% bilong taim i go klostu long 1 inap 10.

wet bilong sirosans

insait long 10 tanim24.0%

insait long 25 tanim49.6%

insait long 37 tanim63.7%

insait long 50 tanim74.6%

insait long 100 tanim93.5%

moa long 110 tanim≈ 5%

moa long 200 tanim0.4%

p(W ≤ k) = 1 − (36/37)ᵏ. Avarej 37, namba long namel 25.

Wanem siro i kostim pleia i putim bet wan-long-wan

Wanwan siro i kostim wanpela mani bilong bet, na ol siro em olgeta edj long retbetRetBet wan-long-wan long 18 namba ret. Tok Frans: rouge.Ritim olgeta →. Long 37 tanim long avarej, 18 win na 18 lus i katim narapela, na wanpela siro em −1/37. Long sesen bilong 200 tanim long $10, 5.4 siro yu wetim i kostim $54, stret olsem 200 × $10 / 37. Sesen i gat 2 siro i bin kisim $34 bilong gutpela luk. Sesen i gat 9 siro i bin kisim $36 bilong luk nogut, na bai yu pilim olsem ol i giamanim yu. Long tebol bilong la partageloLa partageLo bilong Frans: taim siro i kamap, hap bilong mani bilong bet wan-long-wan i kam bek. Em i katim edj bilong kasino long ol dispela bet long hap, i go daun long 1.35%.Ritim olgeta →, wanwan siro i kostim hap bilong mani bilong bet, na ol namba i kamap hap.

Siro long sesen bilong 200 tanim% bilong ol sesen

0–1

2.5%

2–3

18%

4–5

34%

6–7

28%

8–9

13%

10 o moa

4.5%

% bilong ol sesen

01734%

Binomial(200, 1/37). Pleia i betim $10 long ret i baim $10 long wanwan siro. Spred bilong ol siro em spred bilong pe bilong nait.

Lo La Partage long Rulet Rulet long Intanet i Gat Trik? Tingting i No Tru

Askim i kam bihain

Wanem sans bilong tupela siro wanpela bihain long narapela? (1/37)² = 1/1,369. Long kasino i ranim 20 tebol long 50 tanim long wanpela aua, em klostu wanpela pea bilong siro bihain long siro long sampela hap long olgeta 1.4 aua. Ol pleia i lukim na i ting wil i bagarap. Matematik i tok em i Tunde tasol.

Traim

Session Simulator i kaunim ol siro long wanwan sesen. Ranim 100 tanim sampela handet taim na putim namba long piksa: piksa antap bai kamap, wantaim longpela tel long han sut. Ol stori i kam long dispela tel.

Fomula

p(W > k) = (36/37)ᵏ

E[W] = 37 · namba long namel ≈ 25

siro long N tanim ~ Binomial(N, 1/37)

Ol askim

Siro i save kamap moa long sampela wil?

I no long stretpela wil. Long wil i gat biaslaboratoriWil i gat biasWil we sampela bagarap long bodi bilong en i mekim sampela hul i kamap moa long 1/37. Em i no planti, na yu inap painim tasol wantaim planti tausen tanim yu raitim.Ritim olgeta →, wanem hultulHulWanpela long ol 37 hul i gat namba long rota. Narapela nem: slot, cup.Ritim olgeta → i ken kamap moa, na yu bai nidim ol tausen tanim bilong save.

Mi mas putim sip long siro oltaim olsem insurens?

Em bet bilong 2.70% olsem olgeta narapela. Em i senisim pasin bilong sesen (siro i kamap win), tasol i no senisim pe.

Bilong wanem namba long namel i liklik moa long avarej?

Long wanem ol wet i no stap wankain long tupela sait: planti sotpela wet, na sampela i longpela tru.

Liklik lap

$Avarej 37, namba long namel 25, na longpela tel we ol stori bilong bipo i stap.$

Avarej 37, namba long namel 25, na longpela tel we ol stori bilong bipo i stap.

Ol As bilong Save

Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, 3rd ed., 1968. Gambler’s ruin, sapta XIV.
Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Sapta 13, rulet.

mipela i skelim gen long 2026-09-28model: Yurop, wanpela sirometodoloji ↗ol as bilong save ↗