Lilabhorethri ye-roulette · Lilabhorethri · Indlela · emaminithi 7

Kuhlatiya tigaba

Emaphutsa esakhiwo atsintsa imigodzi lengumakhelwane ndzawonye, ngako hlola tincenye telisondvo, hhayi tinombolo letitodvwa kuphela.

Imphendvulo lemfisha

Hlanganisa imigodzi lengu-37 ibe tigaba letilandzelanako bese uchatsanisa kushaywa lokubonwe nalokulindzelekile esigabeni ngasinye. Kuchema kwangempela ngalokuvamile kuvela njengesigaba sinye noma letimbili letisedvutane letishisako etisampuleni letitimele.

tigaba letijwayelekile
tincenye letingu-6 temigodzi lengu-6–7
sibalo
z esigabeni ngasinye
cinisekisa
isampula yesibili
kungani
emaphutsa angekwesakhiwo, lokwesakhiwo kusendzaweni yinye

Indlela

Hlukanisa lisondvo libe tigabalisondvoSigabaIngcenye lelandzelanako yemigodzi elisondvweni, lehlukile kulicembu letinombolo elithebuleni lekubheja.Fundza konkhe → letilandzelanako, ngalokuvamile tincenye letisitfupha temigodzitinsitaUmgodziLesinye setikhala letingu-37 letinetinombolo ku-rotor. Kuphindze kutsiwe: slot, cup.Fundza konkhe → lesitfupha noma lesikhombisa, ulandzela kuhleleka kwelisondvo hhayi lithebula lekubhejatinsitaLithebula lekubhejaLithebula lekubheja leliphrintiwe etafuleni. Lamanye emagama: litafula, i-felt, indvwangu.Fundza konkhe →. Esigabeni ngasinye semigodzi lengu-k, kushaywa lokulindzelekile ngu-n·k/37 futsi kuphambuka lokujwayelekiletibaloKuphambuka lokujwayelekileImphandze yesikwele yekugucugucuka (variance); libanga lelivamile lemphumela kusuka enanini lelilindzelekile.Fundza konkhe → ngu-√(n·p·(1−p)) lapho p = k/37. Bala z = (lokubonwe − lokulindzelekile)/σ esigabeni ngasinye. Sigaba lesingetulu kwa-+2 sifanele kubukwa kabili; lesingetulu kwa-+3, etisampuleni letimbili letitimele, siyakudvonsa kunaka.

sigaba (kuhleleka kwelisondvo)imigodziklokulindzelekile ekujikeleteni lokungu-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
Kwehlukanisa lokunye lokujwayelekile. Kunqume ngaphambi kwekubuka idatha; kushintja imingcele ngemuva kwaloko yinkinga yekuchatsanisa lokunyenti.

Lisondvo le-roulette

Kungani tigaba

Kuhlolwa kwemgodzi munye kunematfuba langu-37 ekunika umphumela wemanga, neluphawu lolubutsakatsaka kunye nanye. Kuhlolwa kwetigaba kunematfuba lasitfupha neluphawu loluhlangana kuyo yonkhe imigodzi lengumakhelwane. Kuyavumelana futsi ne-physics: lisondvo lelitsambekile lenta kutsi libholatinsitaLibholaLibhola lelincane leliphoswa emzileni lihamba ngakulolunye luhlangotsi kune-rotor. Emabhola alamuhla ayi-ivorine noma i-Teflon, 18–21 mm.Fundza konkhe → lishiye umzila ngalokunyenti ngasohlangotsini loluphakeme, lokuvuna incenye yinye; i-frettinsitaI-fretLukhuni lwensimbi loluhlukanisa imigodzi lemibili elisondvweni.Fundza konkhe → lekhululekile noma legobile ishintja kugcuma emigodzini leseceleni kwayo; umzila welibholatinsitaUmzila welibholaUmsele losemaphetselweni lapho libhola ligijima khona ngaphambi kwekutsi lehlise sivinini liwe. Lelinye ligama: umzila longetulu.Fundza konkhe → longugugile wakha indzawo yekuwa levuna nanoma ngumiphi imigodzi lengaphansi kwayo ngesikhatsi sekuwa, futsi nangabe sivinini se-rotortinsitaI-rotorIngcenye yelisondvo lejikeletako lephetse imigodzi.Fundza konkhe → sishintja kancane, loko kusabalala kuyo incenye lebanti. Akukho kulamaphutsa lokuvuna umgodzi munye wodvwa.

Kushaywa kwetigaba, kujikeleta lokungu-3,000 (kulingisiwe, lisondvo lelingachemile)linani le-z
A
+0.4
B
−1.1
C
+1.6
D
−0.3
E
+0.8
F
−1.4
linani le-z
01.503
Budze bemugca bukhombisa |z| lokucatsaniswa nemkhawulo wa-3. Konkhe kusemsindvweni. Kuchema kwangempela kwesigaba bekungabeka umugca munye ngetulu kwa-3 etisampuleni letimbili letehlukene.

Sivinini se-rotor ku-rouletteI-physics yelisondvo le-roulette

Tigaba letihambako

Imingcele lemile ingahlukanisa incenye leshisako emkhatsini wetigaba letimbili futsi iyenciphise. Lenye indlela lesekelako ishelelisa lifasitelo lemigodzi lengu-k tungeleta lisondvo, ibala z etindzaweni tonkhe letingu-37, bese ifuna lelikhulu kakhulu. Linani lelikhulu kakhulu kumanani e-z langu-37 lahlobene nangabe lisondvo lingachemile ngalokuvamile lingaba ngu-2.2 kuya ku-2.5, ngako linani lelikhulu lelifasitelo lelihambako lelingaphansi kwa-2.5 ngumsindvo, futsi umkhawulo wekunaka ngako uphakeme, cishe ku-3.5.

Kusuka esigabeni kuya ekubhejeni

Nangabe sigaba sicinisekiswa kutsi siyashisa, kubheja lokulindzelekile kubheja bomakhelwanekubhejaBomakhelwaneInombolo kanye nemigodzi lemibili ngetinhlangotsi tonkhe letimbili elisondvweni, emathokheni lasihlanu e-straight up.Fundza konkhe → enkhatsini waso noma licembu lema-straight upkubhejaI-straight upInombolo yinye, kukhokha 35:1.Fundza konkhe → lelibekwe ngesandla kuso sonkhe. Kuhlolwa kwenzuzo kuchatsanisa lizinga lekushaywa kwesigaba nenkhokheloimaliInkhokheloLoko lokubuyiswa kubheja lokuwinile, lokushiwo ngekutsi “X ku-1” ngetulu kwelinani lelibhejiwe lelibuyiswako.Fundza konkhe →: sigaba semigodzi lesitfupha kufanele sishaywe ngetulu kwa-6/36 = 16.7% wetikhatsi (lokubonwe, lokuphindvwe) kute emathokheniimaliLithokheniLuphawu lolumele linani lelingagucuki, lolubekwa kulithebula lekubheja kute ubheje. Lelinye ligama: check.Fundza konkhe → lasitfupha e-straight up afike eliphuzwini lekulingana, kucatsaniswa ne-16.2% lelungile. Umehluko nguhhafu wephesenti, yingako kuwucinisekisa kudzinga emashumi etinkhulungwane tekujikeleta.

Bukhulu besampula

Sihlatiyi

Sihlatiyi sekuchema kwelisondvo le-roulette kulelisayithi semukela luhlu lwekujikeleta, sibala i-chi-square, bese sikhombisa lisondvo njengemephu yekushisa lenemanani e-z etigaba, ngekwehlukanisa lokungenhla njengalokumisiwe. Siphindze sihlanganise idatha yakho kute sikhombise kutsi letibalo letifanako tibukeka njani nangabe lisondvo lingachemile, lokulikhambi lelisheshako lekubona emaphethini lapho angekho khona.

Kuhlolwa kwe-chi-square

Lifomula

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

Imibuto

Kufanele ngisebentise tigaba letingakhi?

Letisitfupha tijwayelekile. Letimbalwa tilahlekelwa kucaca; letinyenti tilahlekelwa emandla. Ncuma kusenesikhatsi.

Kutsiwani nangabe tigaba letimbili letisedvutane tiphakeme totimbili?

Tihlanganise bese ubala z wencenye lehlanganisiwe. Liphutsa langempela kanyenti liwela emngceleni.

Ngabe lithebula lekubheja libalulekile?

Cha. Tigaba tincenye telisondvo. EmadazinikubhejaLidazini1–12, 13–24 noma 25–36, kukhokha 2:1.Fundza konkhe → kanye nemakholamukubhejaLikholamuTinombolo letilishumi nakubili emgceni munye lome ngco kulithebula lekubheja, kukhokha 2:1.Fundza konkhe → akusito tigaba.

Lokuhlekisako

Emaphutsa angekwesakhiwo. Lokwesakhiwo kusendzaweni yinye. Hlola tincenye.

Emaphutsa angekwesakhiwo. Lokwesakhiwo kusendzaweni yinye. Hlola tincenye.

Imitfombo

  1. Barnhart, R. T. Beating the Wheel. Lyle Stuart, 1992.
  2. Pearson, K. “On the criterion that a given system of deviations from the probable…” Philosophical Magazine 50(302), 1900.
kubuyeketwe nga-2026-09-28imodeli: yaseYurophu, licandza linyeindlela yekusebenta ↗imitfombo ↗