Laboratori bilong Rulet · Laboratori · Statistik · 7 min

Hamas Samting Yu Kaunim

Hamas tanim yu nidim pastaim long wanpela pasin i gat mining.

Sotpela bekim

Bilong painim wanpela hul i kamap 1 long 30, i no 1 long 37, wantaim bilip inap, yu nidim klostu 4,400 tanim. Hul i kamap 1 long 35, kain hul bai i pe tru, i nidim klostu 70,000.

1 long 25
~1,100 tanim
1 long 30
~4,400 tanim
1 long 35
~70,000 tanim
nois
∝ 1/√n

Bilong wanem planti tumas

Mak tru, sampela taim moa long wan wan tausen tanim, em i liklik tru long binomial nois bilong √(n·p·(1−p)) ≈ √(n/37). Nois i go daun olsem 1/√n. Olsem na bilong katim hap bilong rong, yu mas kisim fopela taim moa tanim. HultulHulWanpela long ol 37 hul i gat namba long rota. Narapela nem: slot, cup.Ritim olgeta → long 1/30 i kamap 33 taim long wan wan tausen, na avarej em 27: sikispela taim moa, wantaim standet diviesenmatematikStandet diviesenSkwea rut bilong varians; hamas longwe resal i save stap long ekspektet velyu.Ritim olgeta → klostu faivpela. Wanpela samting yu kaunim bilong wanpela tausen i no inap long tokaut gut namel long tupela.

Tanim yu nidim bilong painim hul i gat bias (80% strong, wanpela sait 5%)tanim
1 long 20
≈ 500
1 long 25
≈ 1,100
1 long 30
≈ 4,400
1 long 33
≈ 10,000
1 long 35
≈ 70,000
tanim
035000≈ 70,000
Ol bias bai i pe (1/35 o moa) i nidim planti ten tausen tanim. Ol bias yu ken lukim long wanpela tausen tanim i bikpela tumas, na ol bai i no stap bihain long ol i lukautim wil.

Fomula

Long tes long wanpela sait bilong wanpela hul long mak 5% wantaim 80% strong, n yu nidim em klostu ((1.645·√(p₀(1−p₀)) + 0.84·√(p₁(1−p₁))) / (p₁ − p₀))², wantaim p₀ = 1/37 na p₁ em namba yu ting i stap. Dispela i stret long wanpela hul yu makim pastaim. Sapos yu lukim olgeta 37 hul bilong painim hul i hat moa, mekim klostu tupela o tripela taim moa, bai giaman ansa i no kamap planti.

Ritim long wok tru

Hat nambatingting i no truHat nambaNamba i bin kamap planti moa long yu ting long taim i no longpela i go pinis. Long stretpela wil, em i no tokaut long wanpela samting.Ritim olgeta → bihain long 300 tanim em nois. Bihain long 3,000 em i as bilong kisim 3,000 moa long dispela wil yet. Bihain long 30,000 ating em i wil i gutpela long mesarim long han. Olgeta pasin ol i raitim long histori bilong yusim bias i sanap long planti ten tausen tanim ol i raitim, na wan wan i kisim planti mun.

tanim ol i raitimwanem samting yu ken tokaut tru
< 500i no gat wanpela samting long wanpela hul
1,000chi-square tes i ken wok; em i painim bikpela bagarap tasol
5,000hul long 1/30 bai i kamap ples klia ating; 1/35 nogat
20,000hul long 1/33 i kamap ples klia; yu ken wokim map bilong ol seksen
70,000+yu ken strongim hul long 1/35 i givim win
wanem namba, ol i bungim long planti wilnogat wanpela samting; yu testim ol wil i miks

Pe bilong ol namba

Long 50 tanim long wanpela aua, 10,000 tanim em 200 aua bilong raitim, o sampela wik bilong kopim ol lista ol i putim ples klia. Ol i mas kam long wanpela het bilong wiltulHet bilong wilNarapela nem bilong rota: hap i save tanim na i karim ol namba.Ritim olgeta → yu save gut long en, na kasino i no bin senisim o putim nupela liklik banis long en namel long dispela taim. Dispela, i no statistik, em i as na pilai long bias i dai pinis: saikel bilong lukautim wil i sot moa long saikel bilong bungim ol namba.

Ritim Ol Lista bilong Tanim Ol i Bin Putim Ples Klia

Hamas samting yu kaunim bilong lukim edj yet

Wankain matematik i tokaut long hamas taim pleia i nidim bilong lukim edj bilong kasinomatematikEdj bilong kasinoHap bilong olgeta mani bilong bet kasino i holim long avarej: 2.70% long rulet bilong Yurop.Ritim olgeta → long ol ansa bilong em yet: klostu 1,400 tanim bilong bet wan-long-wan bilong wanpela sigma, na 10,000 bilong edj i kamap ples klia tru. Man i tok sistem i wok long liklik tanim moa long dispela, em i tokaut long nois tasol.

Fomula

n ≈ ((1.645·√(p₀(1−p₀)) + 0.84·√(p₁(1−p₁))) / (p₁ − p₀))²
σ(kaunim) = √(n·p·(1−p))

Ol askim

I gat sotkat rot?

Sapos yu testim ol seksenwilSeksenWanpela hap bilong wil we ol hul i stap wan bihain long narapela, i narakain long wanpela grup long laiaut.Ritim olgeta → na i no ol hul, em i helpim, long wanem bagarap long bodi bilong wil planti taim i paitim wanpela hap, na mak i bung long ol hul. Tasol em i no senisim bikpela bilong namba yu nidim.

Mi ken bungim ol namba long wanpela wil long ol narapela de?

Yes, sapos het bilong wil i wankain na ol i no bin stretim. Em i hap i hat long save.

Bilong wanem 80% strong?

Pasin ol i save bihainim. Em i min olsem bias tru bilong dispela bikpela bai yu painim fopela taim long faivpela.

Liklik lap

Nois i go daun olsem 1/√n. Pasin bilong wet i go daun kwik moa.

Nois i go daun olsem 1/√n. Pasin bilong wet i go daun kwik moa.

Ol As bilong Save

  1. Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, 3rd ed., 1968. Gembla i lusim olgeta mani, sapta XIV.
  2. Barnhart, R. T. Beating the Wheel. Lyle Stuart, 1983.
mipela i skelim gen long 2026-09-28model: Yurop, wanpela sirometodoloji ↗ol as bilong save ↗