Ɗakin gwajin roulette · Ɗakin gwaji · Hanya · minti 7

Nazarin sassan dabaran

Lahani na zahiri yana shafar ramukan da ke kusa da juna tare, don haka ku gwada bakunan dabaran, ba lambobi guda-guda kawai ba.

Amsa a taƙaice

Ku raba ramuka 37 zuwa sassa masu jere, sannan ku kwatanta fitowar da aka gani da abin da ake tsammani a kowane sashe. Karkata ta gaske yawanci tana bayyana a matsayin sashe ɗaya ko biyu masu maƙwabtaka da ke zafi a cikin samfurori masu zaman kansu.

sassan da aka saba
baka 6 na ramuka 6–7
ma'aunin ƙididdiga
z a kowane sashe
tabbatarwa
samfuri na biyu
dalili
lahani na zahiri ne, abin zahiri kuma na wuri ɗaya ne

Hanya

Ku raba dabaran zuwa sassadabaranSasheRamuka da ke bin juna a jere a kan dabaran kamar baka, sabanin ƙungiyar lambobi a kan teburin caca.Karanta gaba ɗaya → masu jere, yawanci baka shida na ramukakayan aikiRamiƊaya daga cikin ɗakuna 37 masu lamba a kan rotor. Ana kuma kiransa: slot, cup.Karanta gaba ɗaya → shida ko bakwai, bisa jerin lambobin dabaran ba bisa teburin cacakayan aikiTeburin caca (layout)Ragar caca da aka buga a kan tebur. Ana kuma kiransa: table, felt, cloth.Karanta gaba ɗaya → ba. Ga kowane sashe mai ramuka k, fitowar da ake tsammani ita ce n·k/37, standard deviationlissafiStandard deviationTushen murabba'i na bambancin sakamako; nisan da sakamako ke yawan yi daga ƙimar da ake tsammani.Karanta gaba ɗaya → kuma √(n·p·(1−p)) ne, inda p = k/37. Ku lissafa z = (abin da aka gani − abin da ake tsammani)/σ ga kowane sashe. Sashe da ya haura +2 ya cancanci a sake duba shi; wanda ya haura +3 a cikin samfurori biyu masu zaman kansu yana da ban sha'awa.

sashe (jerin dabaran)ramukakana tsammani a juye-juye 3,000σ
A0 32 15 19 4 21648620.2
B2 25 17 34 6 27648620.2
C13 36 11 30 8 23648620.2
D10 5 24 16 33 1648620.2
E20 14 31 9 22 18648620.2
F29 7 28 12 35 3 26756821.5
Hanya ɗaya da aka saba ta rarrabawa. Ku yanke shawara a kanta kafin ku duba bayanan; matsar da iyakoki bayan an gani matsala ce ta kwatance-kwatance masu yawa.

Dabaran roulette

Me ya sa sassa

Gwaje-gwajen rami ɗaya suna da damar 37 na ba da kuskuren gano abin da babu, kuma alama mai rauni a kowanne. Gwaje-gwajen sassa suna da dama shida kawai, da alamar da ke taruwa a cikin ramukan da ke maƙwabtaka. Suna kuma dacewa da kimiyyar motsi: rotorkayan aikiRotorƁangaren dabaran da ke juyawa wanda ke ɗauke da ramuka.Karanta gaba ɗaya → da ya karkata yana sa ƙwallokayan aikiƘwalloƘaramin ƙwallon da ake jefawa a hanyarsa a akasin juyawar rotor. Ƙwallayen zamani na ivorine ko Teflon ne, 18–21 mm.Karanta gaba ɗaya → ya fi faɗuwa a gefen da ya fi ƙasa, wanda ke fifita baka; fretkayan aikiFretRabe-raben ƙarfe da ke tsakanin ramuka biyu a kan dabaran.Karanta gaba ɗaya → da ya sako-sako ko ya lanƙwasa yana canza tsallen ƙwallo ga ramukan da ke kusa da shi; hanyar ƙwallokayan aikiHanyar ƙwalloTsagin da ke gefen dabaran inda ƙwallo ke gudu kafin ya rage gudu ya faɗi. Ana kuma kiransa: hanya ta sama.Karanta gaba ɗaya → da ta lalace tana samar da wurin faɗuwa da ke fifita kowane rami da ke ƙarƙashinsa a lokacin faɗuwa, wanda, idan saurin rotor yana canzawa a hankali, yana bazuwa a kan baka mai faɗi. Babu ɗaya daga cikin waɗannan lahani da ke fifita rami guda shi kaɗai.

Fitowa a kowane sashe, juye-juye 3,000 (kwaikwayo, dabaran mai adalci)maki z
A
+0.4
B
−1.1
C
+1.6
D
−0.3
E
+0.8
F
−1.4
maki z
01.503
Tsawon sanda yana nuna |z| a kan iyaka ta 3. Dukansu suna cikin hayaniya. Karkatar sashe ta gaske za ta sa sanda ɗaya ya haura 3 a cikin samfurori biyu daban-daban.

Gudun juyawar dabaran rouletteKimiyyar motsin dabaran roulette

Sassa masu motsi

Ƙayyadaddun iyakoki na iya raba baka mai zafi tsakanin sassa biyu su rage ƙarfinsa. Wata hanya mai cike gibi tana zamar da taga ta ramuka k a kewayen dabaran, tana lissafa z a kowane matsayi na 37, sannan tana neman mafi girma. Mafi girman maki z 37 masu alaƙa da juna a ƙarƙashin adalci yawanci yana kusa da 2.2 zuwa 2.5, don haka mafi girman taga mai motsi da bai kai 2.5 ba hayaniya ne, kuma iyakar da ke jan hankali tana sama daidai da haka, kusan 3.5.

Daga sashe zuwa caca

Idan an tabbatar da sashe mai zafi, cacar da ta dace ita ce maƙwabtacacaMaƙwabta (neighbors)Lamba da ramuka biyu a kowane gefensa a kan dabaran, tsabobin caca biyar na straight up.Karanta gaba ɗaya → a kan tsakiyarsa, ko jerin straight up (cacar lamba ɗaya)cacaStraight upLamba ɗaya tak, biya 35:1.Karanta gaba ɗaya → da aka sanya da hannu a kansa. Gwajin riba shi ne adadin fitowar sashen idan aka kwatanta da biyakuɗiBiyaAbin da cacar da ta ci ke dawowa da shi, ana faɗinsa a matsayin “X zuwa 1” a kan kuɗin cacar da aka mayar.Karanta gaba ɗaya →: sashe mai ramuka shida dole ya fito fiye da 6/36 = 16.7% na lokaci (an gani kuma an maimaita) kafin tsabobin cacakuɗiTsabar cacaAlamar da ke wakiltar ƙayyadadden adadin kuɗi, wadda ake ajiyewa a kan teburin caca don yin caca. Ana kuma kiranta: check.Karanta gaba ɗaya → shida na straight up su kai ba riba ba asara, alhali dabaran mai adalci yana ba da 16.2%. Tazarar rabin maki ɗaya ne na kashi ɗari, shi ya sa tabbatar da ita ke buƙatar juye-juye dubbai da dubbai.

Girman samfuri

Mai nazarin karkata

Mai nazarin karkatar dabaran roulette da ke wannan shafin yana karɓar jerin juye-juye, yana lissafa chi-square, kuma yana nuna dabaran a matsayin taswirar zafi tare da maki z na sassa, da rarrabuwar da ke sama a matsayin zaɓin farko. Yana kuma jujjuya bayananku ba bisa tsari ba don nuna yadda ƙididdiga iri ɗaya take a ƙarƙashin adalci, wanda shi ne magani mafi sauri ga ganin tsare-tsaren da babu su.

Gwajin chi-square

Ƙa'idar lissafi

E(sashe) = n·k/37
σ = √(n·p·(1−p)), p = k/37
z = (O − E)/σ

Tambayoyi

Sassa nawa ya kamata in yi amfani da su?

Shida ne na yau da kullum. Ƙasa da haka yana rage cikakken bayani; fiye da haka yana rage ƙarfin gwaji. Ku yanke shawara tun da wuri.

Me za a yi idan sassa biyu masu maƙwabtaka duka sun yi sama?

Ku haɗa su sannan ku lissafa z don bakan da aka haɗa. Lahani na gaske sau da yawa yana ratsa iyaka.

Shin teburin caca yana da muhimmanci?

A'a. Sassa bakunan dabaran ne. DozincacaDozin1–12, 13–24 ko 25–36, biya 2:1.Karanta gaba ɗaya → da ginshiƙaicacaGinshiƙiLambobi goma sha biyu a cikin ginshiƙi ɗaya a tsaye na teburin caca, biya 2:1.Karanta gaba ɗaya → ba sassa ba ne.

Ɗan barkwanci

Lahani na zahiri ne. Abin zahiri na wuri ɗaya ne. Ku gwada bakuna.

Lahani na zahiri ne. Abin zahiri na wuri ɗaya ne. Ku gwada bakuna.

Majiyoyi

  1. Barnhart, R. T. Beating the Wheel. Lyle Stuart, 1983.
  2. Pearson, K. “On the criterion that a given system of deviations from the probable…” Philosophical Magazine 50(302), 1900.
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