Tibalo te-roulette · Umcondvo losisekelo · emaminithi 8

Ematfuba ku-roulette

Onkhe ematfuba e-roulette alinani lemigodzi lelehlukaniswe nga-37.

Imphendvulo lemfisha

p = tinombolo letimbozwako / 37. Inombolo yinye: 2.70%. Letilishumi nesiphohlongo: 48.65%. Litfuba lekulandzelana lokutsite litfolakala ngekuphindzaphindza ematfuba ekujikeleta ngakunye.

i-straight up

1/37 · 2.70%

lidazini

12/37 · 32.43%

kulingana nemali

18/37 · 48.65%

letibovu letimbili

23.67%

Kujikeleta kunye

Ngamunye wemigodzitinsitaUmgodziLesinye setikhala letingu-37 letinetinombolo ku-rotor. Kuphindze kutsiwe: slot, cup.Fundza konkhe → lengu-37 unelitfuba lelilinganako, ngako ematfuba ekuwina ku-roulette ekujikeleteni kunye ayindzaba yekubala nje. Kubheja etinombolweni letine kuwina tikhatsi letingu-4/37, cishe ku-10.8%. Akukho lokunye elitfubenitibaloLitfubaLitfuba lekutsi umphumela wenteke, kusukela ku-0 kuya ku-1 noma ku-0% kuya ku-100%. Inombolo yinye: 1/37 = 2.70%.Fundza konkhe → lekujikeleta kunye ngaphandle kwaloko, ngiko wonkhe umdlalo ungahlatiywa ephepheni lelincane.

Litfuba lekuwina, ngelihlobo lekubheja% wekujikeleta

I-straight up (1)

2.70%

I-split (2)

5.41%

I-street (3)

8.11%

I-corner (4)

10.81%

I-six line (6)

16.22%

Lidazini / likholamu (12)

32.43%

Kulingana nemali (18)

48.65%

% wekujikeleta

024.3248.65%

Konkhe kubheja kutinombolo letimbozwako letehlukaniswe nga-37. Inkhokhelo iyehla njengoba tinombolo letimbozwako tikhula, kuze linani lelilindzelekile libe ngu-−2.70% lofanako kuyo yonkhe imigca.

Kujikeleta lokunyenti

Kujikeleta ngakunye kutimele, ngako ematfuba ekulandzelana ayaphindzaphindwa. LokubovukubhejaBovuKubheja lokulingana nemali etinombolweni letingu-18 letibovu. NgesiFulentji: rouge.Fundza konkhe → kabili kulandzelana: (18/37)² = 23.7%. Lokubovu bese kuba licandzalisondvoLicandzaUmgodzi munye loluhlata longambonjwa kubheja lokulingana nemali, kwelidazini noma kwelikholamu; umtfombo wenzuzo yelikhasino. Kuphindze kutsiwe: licandza linye, 0.Fundza konkhe →: (18/37)(1/37) = 1.3%. Lishumi nalikhombisa kabili kulandzelana: (1/37)² = 0.073%, cishe kanye ku-1,369. Kulandzelana kubalulekile ekulandzelaneni lokutsite kodvwa hhayi ekubaleni: “lokubovu bese kuba lokumnyamakubhejaMnyamaKubheja lokulingana nemali etinombolweni letingu-18 letimnyama. NgesiFulentji: noir.Fundza konkhe →” ngu-25.0%, kodvwa “lokubovu kunye nalokumnyama kunye ekujikeleteni lokukabili, noma ngukuphi kulandzelana” ngu-50.0%.

Kujikeleta lokutimele ku-roulette

Lokungenani kanye

Sebentisa lokuphambene. Litfuba lekutsi i-straight upkubhejaI-straight upInombolo yinye, kukhokha 35:1.Fundza konkhe → ingaphumi nakanye ekujikeleteni lokungu-37 ngu-(36/37)³⁷ = 36.3%, ngako litfuba lekutsi iphume lokungenani kanye ngu-63.7%, hhayi “kucinisekisa” lokulindzelwa ngulabanyenti badlali ematfubeni langu-37, ngalinye lingu-1 ku-37. Lesibalo lesifanako sitsi inombolo inelitfuba lelicishe libe ngu-1 ku-3 lekungaveli nhlobo ekujikeleteni lokungu-37, ngiko libhodi lemiphumela lihlala likhombisa tinombolo letimbalwa “letibandako”.

kujikeletap(kungaphumi, i-straight up)p(iphume lokungenani 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 na-1 − (36/37)ⁿ. Ngisho nangemuva kwekujikeleta lokungu-100, inombolo yinye kuletilishumi nesihlanu ayikaveli.

Imiphumela ye-roulette: Kufundza libhodi

Sikhatsi lesilindzelekile sekulindza

Ngesilinganiso inombolo ye-straight up ivela kanye ekujikeleteni lokungu-37, kodvwa kulindza kugucugucuka kakhulu: kulindza lokusemkhatsini kucishe kube kujikeleta lokungu-25 (ngesigamu setikhatsi ivela ngembi kwaloko) futsi kulindza kunye kulokungemashumi lamabili kwendlula kujikeleta lokungu-110. Tikhatsi tekulindza enchubeni ye-geometric tinemsila lomudze, futsi umdlali “lowatiko” kutsi inombolo sekusikhatsi sayo ngemuva kwekujikeleta lokungu-60 uchaza intfo lenteka kanye etikhatsini letisihlanu.

Inganekwane: Tinombolo kufanele tiphume

Emaphutsa lajwayelekile

Kuhlanganisa ematfuba etehlakalo letingenteka tombili (lokubovu noma lokungalingani akusiko 36/37; ngu-26/37, ngobe tinombolo letilishumi tiyikho kokubili). Kuphindzaphindza etehlakalweni tekujikeleta lokufanako (lokubovu futsi lokungalingani ekujikeleteni kunye ngu-10/37, hhayi 18/37 × 18/37). Kutsatsa kujikeleta lokwendlulile njengencenye yekulandzelana lobheja kuko nyalo: ngemuva kwaletibovu letilishumi, litfuba lalelilandzela lelishumi ngu-18/37, hhayi (18/37)¹¹.

Ayini ematfuba (odds) ku-roulette, futsi ehluke njani elitfubeni (probability)?

Emakhasino abeka tinkhokheloimaliInkhokheloLoko lokubuyiswa kubheja lokuwinile, lokushiwo ngekutsi “X ku-1” ngetulu kwelinani lelibhejiwe lelibuyiswako.Fundza konkhe → njengematfuba (odds). Inombolo yinye iwina ngelitfuba le-1/37, ngako ematfuba ekuwina ku-roulette enombolweni yinye angu-36 ku-1 lamelene nawe. Inkhokhelo lengu-35 ku-1 ngako-ke isilela liyunithiimaliLiyunithiLinani lelibhejwako lelisisekelo luhlelo noma umdlali lasebenta ngalo. Kwenyuswa kwelinani kuchazwa ngemayunithi kute kusebente kunoma ngumuphi litafula.Fundza konkhe → linye, futsi loko kuyinzuzo yelikhasinotibaloInzuzo yelikhasinoIncenye yelinani ngalinye lelibhejiwe leligcinwa likhasino ngesilinganiso: 2.70% ku-roulette yaseYurophu.Fundza konkhe → ngesimo sayo sekucala. Kugucula: ematfuba lamelene nawe = (1 − p)/p; litfuba = 1/(ematfuba + 1).

Lifomula

p(kubheja) = n / 37

p(A bese kulandzela B) = p(A) · p(B)

p(lokungenani kanye ku-k) = 1 − (1 − p)ᵏ

ematfuba lamelene nawe = (1 − p) / p

Imibuto

Litfuba lelingakanani lekutsi licandza liphume kabili kulandzelana?

(1/37)² = 1/1369 ≈ 0.073%.

Litfuba lelingakanani lalokubovu noma lalokumnyama?

36/37 = 97.3%. Licandza ngilo lelisele.

Ngabe 17 yinombolo levela kakhulu?

Tonkhe letingu-37 tingu-1/37. Lishumi nalikhombisa yinombolo lebhejwa kakhulu, futsi loko kuliciniso ngebantfu.

Bumnandi betibalo

Zama loku ngekwakho kucala. Sixazululo ngasinye sifihliwe; sivule nawukulungele.

Ubheja kulokubovukubhejaBovuKubheja lokulingana nemali etinombolweni letingu-18 letibovu. NgesiFulentji: rouge.Fundza konkhe →, kujikeleta ngemuva kwekujikeleta. Litfuba lini lekutsi kuwina kwakho kwesihlanu kufike ncamashi ekujikeleteni kwesiphohlongo? Kantsi lekutsi ube nekuwina lokusihlanu ekujikeleteni lokusiphohlongo kwekucala?
Khombisa sixazululo
Imphendvulo 12.9%, cishe 1 ku-8, kwekuwina kwesihlanu ekujikeleteni kwesiphohlongo. 33.4% kwekuwina lokusihlanu ngaleso sikhatsi.
Kuwina kwesihlanu ekujikeleteni kwesiphohlongo kusho tintfo letimbili: kujikeleta kwesiphohlongo kuyawina, futsi kujikeleta lokusikhombisa kwekucala kunekuwina lokune ncamashi nekulahlekelwa lokutsatfu, nganobe nguyiphi indlela. Kunetindlela letingu-35 tekubeka kuwina lokune ekujikeleteni lokusikhombisa.
Ngako litfuba ngu-35 × (18/37)⁵ × (19/37)³ = 35 × 0.02725 × 0.1354 = 12.9%.
Kwekuwina lokusihlanu ekujikeleteni kwesiphohlongo, hlanganisa ingcenye lefanako yekuwina kwesihlanu ekujikeleteni kwesihlanu, kwesitfupha nakwesikhombisa: 2.7% + 7.0% + 10.8% + 12.9% = 33.4%. Tati tetibalo letikubita ngekutsi kusabalala kwe-negative binomial: kutsi kudzingeka kuzama lokungakhi kute kutfolakale linani lelimisiwe lekuphumelela. Taylor (2021) usebenta umbuto lofanako elisondvweni laseMelika, 12.2%.

Lokuhlekisako

$Bala imigodzi. Hlukanisa nga-37. Phindzaphindza nakulandzelana. Kuphelile.$

Bala imigodzi. Hlukanisa nga-37. Phindzaphindza nakulandzelana. Kuphelile.

Imitfombo

Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, kushicilelwa kwesi-3, 1968. Kuphelelwa yimali kwemgembuli (gambler’s ruin), sehluko XIV.
Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Sehluko 13, i-roulette.
Taylor, D. G. Games, Gambling, and Probability: An Introduction to Mathematics, 2nd ed. CRC Press, 2021.

kubuyeketwe nga-2026-09-28imodeli: yaseYurophu, licandza linyeindlela yekusebenta ↗imitfombo ↗