Zowonjezera · Maphunziro · mphindi 7

Roulette ndi Maphunziro a Masamu

Gudumu la roulette limapangitsa kuthekera kukhala kosavuta kuganizira m’maganizo. Umu ndi mmene mungaligwiritsire ntchito pa phunziro popanda kulimbikitsa kutchova juga.

Yankho lalifupi

Zotsatira makumi atatu ndi zisanu ndi ziwiri zokhala ndi kuthekera kofanana, malipiro okhazikika, kudziyimira payokha, mtengo woyembekezeka woipa wodziwika ndi mbiri yaitali ya anthu akulakwitsa. Roulette imaonetsa mtengo woyembekezeka, kusinthasinthamasamuKusinthasinthaMuyeso wa kufalikira kwa zotsatira kuzungulira mtengo woyembekezeka. Kwakukulu pa straight up, kochepa pa mabetcha a even-money.Werengani yonse →, lamulo la manambala akuluakulumasamuLamulo la manambala akuluakuluAvareji ya zotsatira zodziyimira payokha imayandikira mtengo woyembekezeka pamene chiwerengero cha mayesero chikukula.Werengani yonse →, chinyengo cha wotchova juga, kuyesa malingaliro (hypothesis testing) ndi vuto la tsiku lobadwa bwino kuposa ndalama zoponya kapena madayisi.

zotsatira zonse zotheka
37, zofanana
mfundo zophunzitsidwa
≥ 8
zida za patsamba lino
zaulere, mu msakatuli
phunziro la ziro
EV = −1/37, nthawi zonse

N’chifukwa chiyani roulette

Ndalama yoponya ili ndi zotsatira ziwiri ndipo dayisi zisanu ndi chimodzi; zonse ndi zazing’ono kwambiri kuonetsa vuto la tsiku lobadwamasamuVuto la tsiku lobadwaKuchuluka kwa anthu kofunikira kuti awiri mwina agawane tsiku lobadwa, kapena kuchuluka kwa kuzungulira kuti nambala mwina ibwerezedwe. Pa gudumu la tibowo 37, kuzungulira 8 nkokwanira kuti mwayi upitirire theka.Werengani yonse → kapena mayeso a chi-squarelabuMayeso a chi-squareMayeso a ziwerengero oyerekeza kugwa kowonedwa pa kabowo kalikonse ndi n/37 woyembekezeka. Amagwiritsidwa ntchito poona ngati gudumu ndi lokondera.Werengani yonse → mochititsa chidwi. Makadi ali ndi kukumbukira. Roulette ili ndi zotsatira 37 zokhala ndi kuthekera kofanana, malipirondalamaMalipiroZimene betcha lopambana limabweza, zotchulidwa ngati “X ku 1” kuwonjezera pa ndalama zobetcha zobwezedwa.Werengani yonse → okhazikika amene amapangitsa mtengo woyembekezeka kukhala kuwerengera kwa mzere umodzi, kudziyimira payokha mwa kapangidwe kakuthupi, ndi phindu la kasino laling’ono mokwanira kubisala m’gawo limodzi la masewera ndi lalikulu mokwanira kulamulira chaka chonse. Ilinso ndi zaka mazana awiri za zinyengo zolembedwa zoti zifufuzidwe.

Ndalama yoponya, dayisi ndi makadi zikupereka malo ku zotsatira 37 za roulette zokhala ndi kuthekera kofanana.

Mayeso a Chi-Square

Ndandanda ya maphunziro

phunziromfundochitsanzo cha roulettechida patsamba lino
1kuthekera ngati kuwerengap(betcha) = n/37Chowerengera Mwayi wa Roulette
2mtengo woyembekezekaEV = (n/37)(36/n − 1) − (37 − n)/37 = −1/37Chopangira Mabetcha
3kudziyimira payokha ndi lamulo la kuchulukitsa(18/37)² pa zofiira ziwiriKuthekera kwa Zotsatizana mu Roulette
4chotsalira ndi “kamodzi kokha pang’ono”1 − (36/37)³⁷ = 63.7%Kuthekera mu Roulette
5kusinthasintha ndi kupatuka kokhazikikaσ = 5.84 (straight up) poyerekeza ndi 1.00 (zofiira), EV yofananaKusinthasintha
6lamulo la manambala akuluakulu (ndi zimene silinena)avareji imayandikira; chiwerengero chonse chimachokaKuyandikira pa Nthawi Yayitali
7chinyengo cha wotchova jugazakuda 26, 1913Chinyengo cha Wotchova Juga
8kuyenda mwachisawawa ndi kutha ndalamafomula ya gambler’s ruinChowerengera Chiopsezo Chotha Ndalama Zonse
9kuyesa malingalirochi-square pa tibowo 37Chosanthula Kukondera kwa Gudumu la Roulette
10vuto la tsiku lobadwakubwerezedwa mkati mwa kuzungulira 8, 56%Vuto: Gudumu la Tsiku Lobadwa
11kuyerekeza kwa Monte Carlomagawo 10,000 mu sekondi imodziChoyerekezera Njira za Roulette
12chifukwa chake madongosolo amalepheralinearity of expectation (mitengo yoyembekezeka imaphatikizana)Kodi Mungagonjetse Roulette?

Kuphunzitsa popanda kuphunzitsa kutchova juga

Gwiritsani ntchito ndalama zoseweretsa ndi Masewera Oyesera, amene alibe ndalama zenizeni. Yambani ndi mtengo woyembekezekamasamuMtengo woyembekezekaZotsatira zapakati pa betcha lililonse pa nthawi yayitali. −1/37 ya ndalama zobetcha pa betcha lililonse la ku Ulaya wamba.Werengani yonse → ndipo pitirizani kubwerera kwa iwo: phunziro lililonse limatha ndi “ndipo mtengo woyembekezeka ndi −1/37 ya ndalama zobetcha”. Gwiritsani ntchito madongosolo ngati zitsanzo zotsutsa osati ngati njira: ntchito ndi kupeza cholakwika, ndipo choyerekezera chimaonetsa cholakwikacho mkati mwa masekondi. Phatikizanipo mbiri ya anthu amene anataya. Phunziro ndi lakuti masamu amapambana, zimene ndi zosiyana ndi malonda.

Zochita zimene zimagwira ntchito

Uzani ophunzira alosere kuchuluka kwa kuzungulira mpaka kubwerezedwa, kenako ayendetse Masewera Oyesera ka khumi (vuto la tsiku lobadwa). Auzeni alembe “dongosolo” mu chosinthira njira ndi kuyendetsa magawo 10,000 (linearity of expectation). Auzeni awerengere kuthekeramasamuKuthekeraMwayi wa zotsatira, kuchokera 0 mpaka 1 kapena 0% mpaka 100%. Nambala imodzi: 1/37 = 2.70%.Werengani yonse → kwa zotsatizana za 1913 kenako kwa zotsatizanazo kuchitika kwinakwake m’zaka makumi asanu za Monte Carlo (kusiyana pakati pa chochitika chinachake chenicheni ndi chochitika chilichonse). Auzeni apeze kabowozipangizoKabowoChimodzi mwa tibowo 37 tokhala ndi manambala pa rotor. Kamatchedwanso: slot, cup.Werengani yonse → “kokondera” m’mbiri ya kuzungulira kwachilungamo kenako asakanize zambirizo (kuyerekeza kangapo).

Mmene maganizo a ophunzira amalakwira msanga (malingaliro ofala a kalasi poyerekeza ndi choonadi)
kuzungulira mpaka kubwerezedwa: lingaliro ≈ 19, choonadi 8
8 poyerekeza ndi 19
p(kugunda ≥1 pa kuzungulira 37): lingaliro 100%, choonadi 63.7%
63.7% poyerekeza ndi 100%
p(zofiira pambuyo pa zofiira 10): lingaliro “zochepa”, choonadi 48.65%
48.65%
magawo opindula, Martingale: lingaliro ≈ 95%, choonadi ≈ 78%
78% poyerekeza ndi 95%
zotsatira za avareji, Martingale: lingaliro “zabwino”, choonadi zoipa
zoipa
050100
Kusiyana kulikonse ndi phunziro. Komaliza ndiko maphunziro onse.

Kuwerenga Mbiri Zofalitsidwa za KuzunguliraKufunika kwa Ziwerengero

N’chifukwa chiyani zimakhazikika m’maganizo

Ophunzira amakumbukira zakudabetchaZakudaBetcha la even-money pa manambala 18 akuda. Mu Chifalansa: noir.Werengani yonse → 26, gudumu la Jagger, ndi nthawi imene choyerekezera chinaonetsa dongosolo lawo likutaya. Kuthekera kwachiphunzitso kumaiwalika pofika mayeso; gudumu siliiwalika. Mzere wa makhalidwe ndi womveka: phunzitsani masamu amene amapangitsa masewerawa kukhala betcha loipa, pogwiritsa ntchito masewerawo, ndipo ophunzira amene adzatchova juga pambuyo pake adzadziwa mtengo wake.

Osewera Roulette Otchuka

Mafunso

Kodi n’koyenera kwa ophunzira a msinkhu wa sukulu?

Ndi ndalama zoseweretsa ndi kufotokoza momveka bwino kuti phindu la kasinomasamuPhindu la kasinoGawo la ndalama zobetcha zilizonse limene kasino imasunga pa avareji: 2.70% mu roulette ya ku Ulaya.Werengani yonse → ndilo phunziro, maphunziro ambiri amagwiritsa kale ntchito madayisi ndi lotale; roulette ndi mtundu wolemera wa zomwezo.

Kodi mphunzitsi ayambe ndi tsamba liti?

Phindu la Kasino mu Roulette, kenako Masewera Oyesera, kenako Choyerekezera Njira za Roulette.

Kodi Masewera Oyesera ndi otetezeka m’kalasi?

Chilibe ndalama zenizeni, maakaunti kapena maulalo opita kwa ogwiritsa ntchito makasino.

Nthabwala yopumitsa

Zotsatira makumi atatu ndi zisanu ndi ziwiri, phindu limodzi la kasino, zaka mazana awiri za zolakwa zoti tiphunzirepo.

Zotsatira makumi atatu ndi zisanu ndi ziwiri, phindu limodzi la kasino, zaka mazana awiri za zolakwa zoti tiphunzirepo.

Magwero

  1. Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, kope la 3, 1968. Gambler’s ruin, mutu XIV.
  2. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Mutu 13, roulette.
zinawunikidwa 2026-09-28chitsanzo: ya ku Ulaya, ziro imodzinjira zowerengera ↗magwero ↗