Vuto: Patenga Nthawi Yaitali Bwanji Kuti Ziro Ituluke
Ziro imatuluka kamodzi pa kuzungulira 37 pa avareji. Kodi kwenikweni mumadikira nthawi yaitali bwanji, ndipo zimenezo zimachita chiyani kwa wobetcha even-money?

Kudikira ziro ndi kwa geometric: avareji kuzungulira 37, median 25, ndipo kudikira kumodzi pa makumi awiri kumapitirira kuzungulira 110. Pa gawo la kuzungulira 200 wobetcha even-money amayembekezera ziro 5.4 ndipo adzaona kulikonse kuchokera pa 1 mpaka 10.
Vuto
ZirogudumuZiroKabowo kamodzi kobiriwira kamene betcha la even-money, dazeni kapena mzati siliphimba; gwero la phindu la kasino. Imatchedwanso: ziro imodzi, 0.Werengani yonse → ili ndi kuthekeramasamuKuthekeraMwayi wa zotsatira, kuchokera 0 mpaka 1 kapena 0% mpaka 100%. Nambala imodzi: 1/37 = 2.70%.Werengani yonse → kwa 1/37 pa kuzungulira kulikonse. (a) Kodi kuthekera kwa kusapezeka kwa ziro pa kuzungulira 37 kotsatira ndi kotani? (b) Kodi median ya kudikira ndi yotani? (c) Pa gawo la even-money la kuzungulira 200, kodi wosewera ayenera kuyembekezera ziro zingati, ndipo malire ake ndi otani?
Mayankho
(a) (36/37)³⁷ = 36.3%. Kuposa gawo limodzi pa atatu la nthawi, kuzungulira 37 kumadutsa popanda ziro konse, ndipo awa ndi masamu omwewo a “kugunda kamodzi pang’ono pa straight upbetchaStraight upNambala imodzi, amalipira 35:1.Werengani yonse → pa kuzungulira 37” kukhala 63.7% yokha. (b) Kudikira W ndi kwa geometric; p(W > k) = (36/37)ᵏ; median ndi k pamene ichi chidutsa 0.5, chimene ndi k ≈ 25. Theka la kudikira ndi kuzungulira 25 kapena kocheperapo ndipo theka ndi kotalikirapo; avareji ya 37 imakokedwa m’mwamba ndi mchira wautali. (c) Ziro pa kuzungulira 200 ndi za binomial ndi avareji 200/37 = 5.4 ndi kupatuka kokhazikikamasamuKupatuka kokhazikikaMuzu wa sikweya wa kusinthasintha; mtunda wanthawi zonse wa zotsatira kuchokera ku mtengo woyembekezeka.Werengani yonse → √(200 × (1/37) × (36/37)) ≈ 2.3. Malire a 95% ali pafupifupi 1 mpaka 10.
Zimene ziro imadula wobetcha even-money
Ziro iliyonse imadula ndalama zobetcha imodzi, ndipo ziro ndizo phindu lonse la kasino pa zofiirabetchaZofiiraBetcha la even-money pa manambala 18 ofiira. Mu Chifalansa: rouge.Werengani yonse →: pa kuzungulira 37 kwa avareji kupambana 18 ndi kuluza 18 zimachotsana, ndipo ziro imodziyo ndiyo −1/37. M’gawo la kuzungulira 200 pa $10, ziro 5.4 zoyembekezeka zimadula $54, zimene ndi ndendende 200 × $10 / 37. Gawo lokhala ndi ziro 2 lakhala ndi mwayi wabwino wa $34; gawo lokhala ndi ziro 9 lakhala ndi mwayi woipa wa $36, ndipo lidzaoneka ngati lachinyengo. Pa tebulo la la partagelamuloLa partageLamulo la ku France: ziro ikatuluka, theka la ndalama zobetcha pa even-money limabwezedwa. Limachepetsa phindu la kasino ndi theka pa mabetcha amenewo kufika 1.35%.Werengani yonse → ziro iliyonse imadula theka la ndalama zobetcha ndipo ziwerengero zimagawika pakati.
Lamulo la La Partage mu RouletteKodi Roulette ya pa Intaneti Ndi Yachinyengo? Nthano
Funso lotsatira
Kodi kuthekera kwa ziro ziwiri motsatizana ndi kotani? (1/37)² = 1/1,369. M’kasino yokhala ndi matebulo 20 pa kuzungulira 50 pa ola, zimenezo ndi pafupifupi ziro ziwiri motsatizana kwinakwake maola 1.4 aliwonse. Osewera amene amaziona amamaliza kuti gudumu lawonongeka; masamu amati ndi Lachiwiri wamba.
Yesani
Choyerekezera Gawo la Roulette chimawerenga ziro pa gawo lililonse. Yendetsani kuzungulira 100 kangapo kambirimbiri ndipo jambulani chiwerengerocho: histogram ili pamwambayi idzaonekera, ndi mchira wake wautali kumanja. Mchira ndiko kumene nkhani zimachokera.
Fomula
Mafunso
Osati pa lachilungamo. Pa gudumu lokonderalabuGudumu lokonderaGudumu limene zolakwika zake zakuthupi zimapangitsa tibowo tina kukhala ndi kuthekera kopitirira 1/37. Ndi losowa, ndipo limadziwika pokhapokha ndi kuzungulira masauzande ambiri kolembedwa.Werengani yonse → kabowozipangizoKabowoChimodzi mwa tibowo 37 tokhala ndi manambala pa rotor. Kamatchedwanso: slot, cup.Werengani yonse → kalikonse kangathe, ndipo kukanatenga kuzungulira masauzande kuti zidziwike.
Ndi betcha la 2.70% monga lina lililonse. Limasintha mawonekedwe a gawo (ziro imakhala kupambana) osati mtengo.
Chifukwa kagawidwe ka kudikira ndi kopindika: kudikira kwafupi kochuluka, kwautali kwambiri kochepa.
Nthabwala yopumitsa

Avareji 37, median 25, ndi mchira wautali kumene nthano zimakhala.
Magwero
- Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1.
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.