Izibalo ze-roulette · Ingqiqo engundoqo · imizuzu eyi-8

Amathuba kwi-roulette

Onke amathuba kwi-roulette linani lezikhewu elahlulwe ngama-37.

Impendulo emfutshane

p = amanani agqunyiweyo / 37. Inani elinye: 2.70%. Ishumi elinesibhozo: 48.65%. Amathuba olandelelwano oluthile aphindaphinda amathuba omjikelo ngamnye.

inani elinye
1/37 · 2.70%
idazini
12/37 · 32.43%
imali elinganayo
18/37 · 48.65%
obomvu kabini
23.67%

Umjikelo omnye

Nganye kwi-37 izikhewuizixhoboIsikhewuEsinye sezikhewu ezingama-37 ezinamanani kwirotha. Kwakhona: slot, cup.Funda yonke → inamathuba alinganayo, ngoko amathuba okuphumelela kwi-roulette kumjikelo omnye ngumcimbi wokubala. Ibheji kumanani amane iphumelela ama-4/37 exesha, malunga ne-10.8%. Akukho nto ingaphezulu koko kumathubaizibaloAmathubaIthuba lesiphumo, ukusuka ku-0 ukuya ku-1 okanye ku-0% ukuya ku-100%. Inani elinye: 1/37 = 2.70%.Funda yonke → omjikelo omnye, kungoko wonke umdlalo unokuhlalutywa phezu kwetawuli yephepha.

Amathuba okuphumelela, ngohlobo lwebheji% yemijikelo
Inani elinye (1)
2.70%
Amanani amabini (2)
5.41%
Umqolo (3)
8.11%
Ikona (4)
10.81%
Imiqolo emibini (6)
16.22%
Idazini / ikholamu (12)
32.43%
Imali elinganayo (18)
48.65%
% yemijikelo
024.3248.65%
Yonke ibheji ngamanani agqunyiweyo ahlulwe ngama-37. Intlawulo iyehla njengoko ukugquma kunyuka, ukuze ixabiso elilindelekileyo libe yi-−2.70% efanayo kuwo wonke umqolo.

Imijikelo emininzi

Imijikelo iyazimela, ngoko amathuba olandelelwano ayaphindaphindwa. ObomvuibhejiObomvuIbheji yemali elinganayo kumanani ali-18 abomvu. NgesiFrentshi: rouge.Funda yonke → kabini ngokulandelelana: (18/37)² = 23.7%. Obomvu emva koko iqandaiviliIqandaIsikhewu esinye esiluhlaza esingagubungelwa yibheji yemali elinganayo, yedazini okanye yekholamu; umthombo wenzuzo yekhasino. Kwakhona: iqanda elinye, 0.Funda yonke →: (18/37)(1/37) = 1.3%. Ishumi elinesixhenxe kabini ngokulandelelana: (1/37)² = 0.073%, malunga nanye kwi-1,369. Ulandelelwano lubalulekile kuthotho oluthile, kodwa alubalulekanga kwinani: “obomvu emva koko omnyamaibhejiOmnyamaIbheji yemali elinganayo kumanani ali-18 amnyama. NgesiFrentshi: noir.Funda yonke →” yi-25.0%, kodwa “obomvu omnye nomnyama omnye kwimijikelo emibini, nangaluphi na ulandelelwano” yi-50.0%.

Imijikelo ye-roulette ezimeleyo

Ubuncinane kanye

Sebenzisa okuchaseneyo. Amathuba okungabethi kwa-inani elinyeibhejiInani elinyeInani elinye, ihlawula u-35:1.Funda yonke → kwimijikelo engama-37 ngu-(36/37)³⁷ = 36.3%, ngoko amathuba okubetha ubuncinane kanye ali-63.7%, hayi “isiqinisekiso” abadlali abaninzi abasilindelayo kumathuba angama-37 ayi-1 kwangama-37. Olu balo lunye luthi inani linamathuba amalunga ne-1 kwi-3 okungaveli kwaphela kwimijikelo engama-37, kungoko ibhodi yeziphumo isoloko ibonisa amanani ambalwa “abandayo”.

imijikelop(akukho kubetha, inani elinye)p(ubuncinane ukubetha kanye)
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 kunye no-1 − (36/37)ⁿ. Nasemva kwemijikelo eli-100, inani elinye kwishumi elinesihlanu alikaveli.

Iziphumo ze-roulette: ukufunda ibhodi

Ixesha lokulinda elilindelekileyo

Ngokomndilili, inani elinye livela kanye kwimijikelo engama-37, kodwa ukulinda kwahluka kakhulu: umbindi wokulinda umalunga nemijikelo engama-25 (isiqingatha sexesha liza kwangethuba) kwaye ukulinda okukanye kumashumi amabini kudlula imijikelo eli-110. Amaxesha okulinda enkqubo yejiyometri anomsila omde, kwaye umdlali “owaziyo” ukuba inani lifanele ukuphuma emva kwemijikelo engama-60 uchaza into eyenzeka kanye kwisihlanu.

Intsomi: amanani afanele ukuphuma

Iimpazamo eziqhelekileyo

Ukudibanisa amathuba eziganeko ezinokwenzeka zombini (obomvu okanye angalinganiyo ayingo-36/37; ngu-26/37, kuba amanani alishumi angawo omabini). Ukuphindaphinda iziganeko kumjikelo omnye (obomvu nangalinganiyo kumjikelo omnye ngu-10/37, hayi u-18/37 × 18/37). Ukujonga imijikelo edlulileyo njengenxalenye yolandelelwano obheja kulo ngoku: emva kwabomvu abalishumi, amathuba oweshumi elinanye ngu-18/37, hayi (18/37)¹¹.

Ziyintoni ii-odds kwi-roulette, kwaye zahluke njani kumathuba?

Iikhasino zichaza iintlawuloimaliIntlawuloOko ibheji ephumeleleyo ikubuyisayo, okuxelwa njengo-“X ku-1” ngaphezulu kwebheji ebuyisiweyo.Funda yonke → njengee-odds. Inani elinye liphumelela ngamathuba ali-1/37, ngoko ii-odds zokuphumelela kwi-roulette kwinani elinye zingama-36 ku-1 ngokuchasene nawe. Intlawulo yama-35 ku-1 ke ngoko isilele ngeyunithiimaliIyunithiIbheji esisiseko esetyenziswa yinkqubo okanye ngumdlali. Ukunyuswa kweebheji kuchazwa ngeeyunithi ukuze kusebenze kuyo nayiphi na itafile.Funda yonke → enye, kwaye le yi-nzuzo yekhasinoizibaloInzuzo yekhasinoIsabelo sebheji nganye esigcinwa yikhasino ngokomndilili: 2.70% kwi-roulette yaseYurophu.Funda yonke → ngendlela yayo yokuqala. Ukuguqula: ii-odds ezichasayo = (1 − p)/p; amathuba = 1/(ii-odds + 1).

Ifomula

p(ibheji) = n / 37
p(A emva koko B) = p(A) · p(B)
p(ubuncinane kanye ku-k) = 1 − (1 − p)ᵏ
ii-odds ezichasayo = (1 − p) / p

Imibuzo

Ngawaphi amathuba okuba iqanda liphume kabini ngokulandelelana?

(1/37)² = 1/1369 ≈ 0.073%.

Ngawaphi amathuba obomvu okanye omnyama?

36/37 = 97.3%. Iqanda lishiyekileyo.

Ngaba u-17 lelona nani liqhelekileyo?

Onke angama-37 ali-1/37. Ishumi elinesixhenxe lelona nani libhejwa kakhulu, nto leyo eyinyani ngabantu.

Ukonwaba ngezibalo

Qala uzizame ngokwakho. Isisombululo ngasinye sisongiwe; sivule xa ukulungele.

  1. Ubheja kobomvuibhejiObomvuIbheji yemali elinganayo kumanani ali-18 abomvu. NgesiFrentshi: rouge.Funda yonke →, umjikelo emva komjikelo. Lithini ithuba lokuba impumelelo yakho yesihlanu ifike ngqo kumjikelo wesibhozo? Kwaye lokuba ube neempumelelo ezintlanu kwimijikelo esibhozo yokuqala?

    Bonisa isisombululo

    Impendulo 12.9%, malunga no-1 kwezi-8, kwimpumelelo yesihlanu kumjikelo wesibhozo. 33.4% kwiimpumelelo ezintlanu ngelo xesha.

    Impumelelo yesihlanu kumjikelo wesibhozo ithetha izinto ezimbini: umjikelo wesibhozo uyaphumelela, kwaye imijikelo esixhenxe yokuqala iqulethe ngqo iimpumelelo ezine nelahleko ezintathu, ngalo naluphi na ulandelelwano. Zingama-35 iindlela zokubeka iimpumelelo ezine phakathi kwemijikelo esixhenxe.

    Ngoko ithuba ngu-35 × (18/37)⁵ × (19/37)³ = 35 × 0.02725 × 0.1354 = 12.9%.

    Kwiimpumelelo ezintlanu ngomjikelo wesibhozo, dibanisa uhlobo olufanayo lwesahlulo kwimpumelelo yesihlanu kwimijikelo yesihlanu, yesithandathu neyesixhenxe: 2.7% + 7.0% + 10.8% + 12.9% = 33.4%. Izazi-manani zikubiza ngokuba kukusasazeka kwe-binomial engalunganga: zingaphi iinzame ezithathwa linani elimiselweyo leempumelelo. U-Taylor (2021) usebenza lo mbuzo ufanayo kwivili laseMelika, 12.2%.

Uncumo

Bala izikhewu. Yahlula ngama-37. Phindaphinda kulandelelwano. Kugqityiwe.

Bala izikhewu. Yahlula ngama-37. Phindaphinda kulandelelwano. Kugqityiwe.

Imithombo

  1. Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, uhlelo lwe-3, 1968. Gambler’s ruin, isahluko XIV.
  2. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Isahluko 13, i-roulette.
  3. Taylor, D. G. Games, Gambling, and Probability: An Introduction to Mathematics, 2nd ed. CRC Press, 2021.
ihlolwe ngo-2026-09-28imodeli: yaseYurophu, iqanda elinyeindlela yokusebenza ↗imithombo ↗