Ilabhorethri ye-roulette · Ilabhorethri · Indlela · imizuzu 7

Ukuhlaziywa kwezigaba

Amaphutha omzimba athinta amagodi angomakhelwane ndawonye, ngakho hlola izingxenye zesondo, hhayi izinombolo ezizodwa kuphela.

Impendulo emfushane

Hlukanisa amagodi angu-37 abe yizigaba ezilandelanayo bese uqhathanisa ukushaywa okubonakele nokulindelekile esigabeni ngasinye. Ukuchema kwangempela ngokuvamile kuvela njengesigaba esisodwa noma ezimbili ezingomakhelwane ezishisayo emasampuleni azimele.

izigaba ezijwayelekile
izingxenye ezingu-6 zamagodi angu-6–7
isibalo sesitatistiki
i-z esigabeni ngasinye
ukuqinisekisa
isampula lesibili
kungani
amaphutha angawomzimba, okomzimba kusendaweni eyodwa

Indlela

Hlukanisa isondo libe yizigabaisondoIsigabaIngxenye eqhubekayo yamagodi alandelanayo esondweni, ehlukile eqenjini lezinombolo ethebuleni lokubheja.Funda konke → ezilandelanayo, ngokuvamile izingxenye eziyisithupha zamagodiokokusebenzaIgodiEsinye sezikhala ezingu-37 ezinezinombolo ku-rotor. Kubuye kuthiwe: slot, cup.Funda konke → ayisithupha noma ayisikhombisa, ulandela ukuhleleka kwesondo hhayi ithebula lokubhejaokokusebenzaIthebula lokubhejaIgridi yokubheja ephrintiwe etafuleni. Kubuye kuthiwe: itafula, i-felt, indwangu.Funda konke →. Esigabeni ngasinye esinamagodi angu-k, ukushaywa okulindelekile kungu-n·k/37 kanti ukuchezuka okujwayelekileizibaloUkuchezuka okujwayelekileImpande yesikwele yokuguquguquka (variance); ibanga elivamile lomphumela ukusuka enanini elilindelekile.Funda konke → kungu-√(n·p·(1−p)) lapho u-p = k/37. Bala u-z = (okubonakele − okulindelekile)/σ esigabeni ngasinye. Isigaba esingaphezu kuka-+2 sifanelwe ukubhekwa futhi; esingaphezu kuka-+3, emasampuleni amabili azimele, siyathakazelisa.

isigaba (ukuhleleka kwesondo)amagodikokulindelekile ekujikelezeni okungu-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
Ukuhlukanisa okukodwa okujwayelekile. Kunqume ngaphambi kokubheka idatha; ukushintsha imingcele ngemuva kwalokho kuyinkinga yokuqhathanisa okuningi.

Isondo le-roulette

Kungani izigaba

Ukuhlolwa kwegodi elilodwa kunamathuba angu-37 okunika umphumela ongamanga kanye nophawu olubuthakathaka ekuhlolweni ngakunye. Ukuhlolwa kwezigaba kunamathuba ayisithupha kanye nophawu oluhlangana kuwo wonke amagodi angomakhelwane. Kuphinde kuhambisane ne-physics: i-rotorokokusebenzaI-rotorIngxenye yesondo ejikelezayo ephethe amagodi.Funda konke → ethambekile yenza ibholaokokusebenzaIbholaIbhola elincane eliphonswa emzileni libheke ngakolunye uhlangothi lwe-rotor. Amabhola esimanje enziwa nge-ivorine noma nge-Teflon, angu-18–21 mm.Funda konke → liwele kakhulu ohlangothini oluphansi, okwenza ingxenye ethile ithandeke; isihlukanisiokokusebenzaI-fretIsihlukanisi sensimbi phakathi kwamagodi amabili esondweni.Funda konke → esixegayo noma esigobile sishintsha ukugxuma emagodini aseduze kwaso; umzila webholaokokusebenzaUmzila webholaUmsele osemaphethelweni ibhola eligijima kuwo ngaphambi kokuthi lehlise isivinini liwe. Kubuye kuthiwe: umzila ophezulu.Funda konke → oguguleke wakha indawo yokuwela ethanda noma yimaphi amagodi angaphansi kwayo ngesikhathi sokuwela, futhi uma isivinini se-rotor sishintsha kancane lokho kusabalala engxenyeni ebanzi. Alikho kulawa maphutha elithanda igodi elilodwa lodwa.

Ukushaywa kwezigaba, ukujikeleza okungu-3,000 (kulingisiwe, isondo elingachemile)amaphuzu e-z
A
+0.4
B
−1.1
C
+1.6
D
−0.3
E
+0.8
F
−1.4
amaphuzu e-z
01.503
Ubude bebha bukhombisa u-|z| uma kuqhathaniswa nophahla luka-3. Konke kungaphakathi komsindo wezibalo. Ukuchema kwangempela kwesigaba bekungabeka ibha eyodwa ngaphezu kuka-3 emasampuleni amabili ahlukene.

Isivinini se-rotor ye-rouletteI-physics yesondo le-roulette

Izigaba ezihambayo

Imingcele engaguquki ingahlukanisa ingxenye eshisayo phakathi kwezigaba ezimbili futhi iyinciphise. Enye indlela ehambisanayo ishelelisa iwindi lamagodi angu-k lizungeze isondo, ibala u-z kuzo zonke izindawo ezingu-37, bese ifuna okuphezulu kakhulu. Okuphezulu kakhulu kwamaphuzu e-z angu-37 ahlobene uma isondo lingachemile ngokuvamile kucishe kube ngu-2.2 kuya ku-2.5, ngakho okuphezulu kwewindi elihambayo okungaphansi kuka-2.5 kuwumsindo nje, futhi umkhawulo wokuthakazelisa uphakeme ngokufanayo, cishe ku-3.5.

Kusuka esigabeni kuya ekubhejeni

Uma isigaba siqinisekiswa ukuthi siyashisa, ukubheja okungokwemvelo kungukubheja omakhelwaneukubhejaOmakhelwaneInombolo kanye namagodi amabili nhlangothi zombili zayo esondweni, amathokheni amahlanu e-straight up.Funda konke → abazungeze phakathi nendawo yaso, noma iqoqo lama-straight upukubhejaI-straight upInombolo eyodwa, kukhokha u-35:1.Funda konke → abekwe ngesandla kuso sonke. Ukuhlolwa kwenzuzo kuqhathanisa izinga lokushaywa kwesigaba nenkokheloimaliInkokheloLokho ukubheja okuwinile okubuyisayo, okushiwo ngokuthi “X ku-1” ngaphezu kwenani elibhejiwe elibuyiswayo.Funda konke →: isigaba samagodi ayisithupha kumele sishaywe ngaphezu kuka-6/36 = 16.7% wesikhathi (okubonakele, okuphindiwe) ukuze amathokheniimaliIthokheniUphawu olumele inani elinqunyiwe, olubekwa ethebuleni lokubheja ukuze ubheje. Kubuye kuthiwe: check.Funda konke → ayisithupha e-straight up angabi nakulahlekelwa noma nzuzo, uma kuqhathaniswa no-16.2% wesondo elingachemile. Umehluko uyihhafu yephuzu lephesenti, yingakho ukukuqinisekisa kudinga amashumi ezinkulungwane zokujikeleza.

Ubukhulu besampula

Umhlaziyi

Umhlaziyi wokuchema kwesondo le-roulette kule sayithi wamukela uhlu lokujikeleza, ubale i-chi-square, bese ukhombisa isondo njengemephu yokushisa enamaphuzu e-z ezigaba, nokuhlukanisa okungenhla njengokuzenzakalelayo. Uphinde uxube idatha yakho ukuze ukhombise ukuthi izibalo ezifanayo zibukeka kanjani uma isondo lingachemile, okuyikhambi elisheshayo lokubona amaphethini angekho.

Ukuhlolwa kwe-chi-square

Ifomula

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

Imibuzo

Kufanele ngisebenzise izigaba ezingaki?

Eziyisithupha zijwayelekile. Ezimbalwa zilahlekelwa ukucaciseleka; eziningi zilahlekelwa amandla. Nquma kusengaphambili.

Kuthiwani uma izigaba ezimbili ezingomakhelwane zombili ziphezulu?

Zihlanganise bese ubala u-z wengxenye ehlanganisiwe. Iphutha langempela livame ukweqa umngcele.

Ingabe ithebula lokubheja liyabaluleka?

Cha. Izigaba ziyizingxenye zesondo. AmadaziniukubhejaIdazini1–12, 13–24 noma 25–36, kukhokha u-2:1.Funda konke → namakholamuukubhejaIkholamuIzinombolo eziyishumi nambili ekholamu eyodwa eqondile yethebula lokubheja, kukhokha u-2:1.Funda konke → akuzona izigaba.

Okokuhlekisa

Amaphutha angawomzimba. Okomzimba kusendaweni eyodwa. Hlola izingxenye.

Amaphutha angawomzimba. Okomzimba kusendaweni eyodwa. Hlola izingxenye.

Imithombo

  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.
kubuyekezwe ngo-2026-09-28imodeli: yaseYurophu, iqanda elilodwaindlela yokusebenza ↗imithombo ↗