Laborathori ya Rulete · Laborathori · Maitele · minithi dza 7

Tsenguluso ya Zwipiḓa

Vhukhakhi ha vhili vhu kwama mabuli a re tsini na tsini nga tshifhinga tshithihi, ngauralo lingani zwipiḓa zwa vhili, hu si nomboro nthihi fhedzi.

Phindulo pfufhi

Kuvhanganyani mabuli a 37 nga zwipiḓa zwi tevhekanaho ni vhambedze u wanala ho vhonwaho na zwo lavhelelwaho kha tshipiḓa tshiṅwe na tshiṅwe. U kheluwa ha vhukuma kanzhi hu vhonala sa tshipiḓa tshithihi kana zwivhili zwi re tsini zwi tshi fhisa kha tsumbo dzi ḓiimisaho.

zwipiḓa zwi ḓoweleaho
zwipiḓa zwa 6 zwa mabuli a 6–7
tshivhalo tsha zwiṱatisiṱiki
z kha tshipiḓa tshiṅwe na tshiṅwe
u khwaṱhisedza
tsumbo ya vhuvhili
ngani
vhukhakhi ndi ha zwiṱhu zwi farwaho, zwi farwaho zwi fhethu huthihi

Maitele

Khethekanyani vhili nga zwipiḓavhiliTshipiḓaMabuli a tevhekanaho kha vhili, a ita tshipiḓa tsha tshiṱuluwa, zwi fhambanaho na tshigwada kha mapa wa tafula.Vhalani zwoṱhe → zwi tevhekanaho, kanzhi zwipiḓa zwa rathi zwa mabulizwishumiswaBuliḼiṅwe ḽa mabuli a 37 o ṅwalwaho nomboro kha rotara. Ḽi dovha ḽa vhidzwa: slot, cup.Vhalani zwoṱhe → a rathi kana sumbe, ni tshi tevhela nzudzanyo ya vhili hu si mapa wa tafulazwishumiswaMapa wa tafulaGiridi ya bete yo gandiswaho kha tafula. U dovha wa vhidzwa: tafula, felt, cloth.Vhalani zwoṱhe →. Kha tshipiḓa tshiṅwe na tshiṅwe tsha mabuli a k, u wanala ho lavhelelwaho ndi n·k/37 nahone phambuwo ya tshiṱandadimathematikiPhambuwo ya tshiṱandadiMudzi wa tshikwea wa vhariantsi; tshikhala tsha ḓuvha ḽiṅwe na ḽiṅwe vhukati ha mvelelo na ndeme yo lavhelelwaho.Vhalani zwoṱhe → ndi √(n·p·(1−p)) hu na p = k/37. Vhalelani z = (zwo vhonwaho − zwo lavhelelwaho)/σ kha tshipiḓa tshiṅwe na tshiṅwe. Tshipiḓa tshi re nṱha ha +2 tshi fanela u sedzwa hafhu; nṱha ha +3, kha tsumbo mbili dzi ḓiimisaho, zwi a takadza.

tshipiḓa (nzudzanyo ya vhili)mabulikzwo lavhelelwaho kha mimono ya 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
Nḓila nthihi i ḓoweleaho ya u khethekanya. I tanganeni ni sa athu u sedza data; u shandukisa mikano nga murahu ndi thaidzo ya u vhambedza lunzhi.

Vhili ḽa Rulete

Ndi ngani zwipiḓa

Ndingo dza buli ḽithihi dzi na zwibuli zwa 37 zwa u ṋea mvelelo ya mazwifhi na tsumbo ṱhukhu kha tshiṅwe na tshiṅwe. Ndingo dza zwipiḓa dzi na zwibuli zwa rathi na tsumbo i ṱanganelaho kha mabuli a re tsini. Dzi dovha dza tendelana na fiziki: vhili ḽo kotamaho ḽi ita uri bolazwishumiswaBolaBola ṱhukhu ine ya poswa kha nḓila nga thungo yo fhambanaho na rotara. Bola dza ano maḓuvha dzi itwa nga ivorine kana Teflon, 18–21 mm.Vhalani zwoṱhe → i bve kha nḓila nga maanḓa kha thungo ya nṱha, zwine zwa tikedza tshipiḓa; tshikhaukanyizwishumiswaTshikhaukanyiTshikhaukanyi tsha tsimbi vhukati ha mabuli mavhili kha vhili.Vhalani zwoṱhe → tsho leluwaho kana tsho kotamaho tshi shandukisa u fhufha ha mabuli a re tsini natsho; nḓila ya bolazwishumiswaNḓila ya bolaMugero u re kha mukumbululo une bola ya tshimbila khawo i sa athu ṱavhanya hu tshi fhungudzea na u wela. Hu dovha ha vhidzwa: nḓila ya nṱha.Vhalani zwoṱhe → yo sinyalaho i ita fhethu ha u wa hu tikedzaho mabuli ana a re fhasi haho musi bola i tshi wa, zwine, musi luvhilo lwa rotarazwishumiswaRotaraTshipiḓa tsha vhili tshine tsha mona nahone tsho fara mabuli.Vhalani zwoṱhe → lu tshi shanduka zwiṱuku nga zwiṱuku, zwa phaḓalala kha tshipiḓa tshihulwane. A hu na na vhuthihi ha vhukhakhi uhu vhu tikedzaho buli ḽithihi ḽo ḓitikaho.

U wanala ha zwipiḓa, mimono ya 3,000 (ndedziso, vhili ḽi songo kheluwaho)tshivhalo tsha z
A
+0.4
B
−1.1
C
+1.6
D
−0.3
E
+0.8
F
−1.4
tshivhalo tsha z
01.503
Vhulapfu ha bara vhu sumbedza |z| u swika kha mukano wa 3. Zwoṱhe ndi phambano dza khonadzeo. U kheluwa ha tshipiḓa ha vhukuma hu nga vhea bara nthihi nṱha ha 3 kha tsumbo mbili dzo fhambanaho.

Ṱhavhanyo ya Rotara ya RuleteFiziki ya Vhili ḽa Rulete

Zwipiḓa zwi tshimbilaho

Mikano i sa shanduki i nga khethekanya tshipiḓa tshi fhisaho vhukati ha zwipiḓa zwivhili ya tshi fhungudza. Nḓila i engedzaho i tshimbidza fasiṱere ḽa mabuli a k u mona na vhili, i tshi vhalela z kha fhethu huṅwe na huṅwe ha 37, ya ṱoḓa tshivhalo tshihulwane. Tshivhalo tshihulwane kha zwivhalo zwa z zwa 37 zwi re na vhushaka musi vhili ḽi songo kheluwa kanzhi tshi vha tshi ṱoḓa u vha 2.2 u swika 2.5, ngauralo tshivhalo tshihulwane tsha fasiṱere ḽi tshimbilaho tshi re fhasi ha 2.5 ndi phambano dza khonadzeo, nahone mukano wa u ṱoḓa u sedza tshi vha nṱha nga u ralo, tshi ṱoḓaho u vha 3.5.

U bva kha tshipiḓa u ya kha bete

Arali tshipiḓa tsho khwaṱhisedzwa tshi tshi fhisa, bete i ḓisaho ndi vhahurabeteVhahuraNomboro na mabuli mavhili kha thungo iṅwe na iṅwe yayo kha vhili, zwipisi zwiṱanu zwa bete ya nomboro nthihi.Vhalani zwoṱhe → kha vhukati hatsho kana nzudzanyo yo vhewaho nga tshanḓa ya dzibete dza nomboro nthihibeteNomboro nthihiNomboro nthihi, i badela 35:1.Vhalani zwoṱhe → kha tshoṱhe. Ndingo ya u lifha ndi u wanala ha tshipiḓa u vhambedzwa na mbadelotsheledeMbadeloZwine bete yo kundaho ya humisa, zwi tshi ambiwa sa “X kha 1” nṱha ha tshelede ya bete i humiswaho.Vhalani zwoṱhe →: tshipiḓa tsha mabuli a rathi tshi fanela u wanala nga u fhira 6/36 = 16.7% ya tshifhinga (zwo vhonwaho, zwo dovholwaho) uri zwipisitsheledeTshipisiTshiga tshine tsha imela tshelede yo tiwaho, tshi vhewaho kha mapa wa tafula u vhea bete. Tshi dovha tsha vhidzwa: check.Vhalani zwoṱhe → zwa rathi zwa nomboro nthihi zwi swike kha vhuimo ha u lingana, u vhambedzwa na 16.2% ya vhili ḽi songo kheluwaho. Phambano ndi hafu ya phesenthe, ndi ngazwo u i khwaṱhisedza zwi tshi ṱoḓa mimono ya makumi a zwigidi.

Saizi ya Tsumbo

Tshisaukanyi

Tshisaukanyi tsha u kheluwa ha vhili kha ino saithi tshi ṱanganedza mutevhe wa mimono, tsha vhalela chi-square, nahone tsha sumbedza vhili sa mapa wa u fhisa na zwivhalo zwa z zwa zwipiḓa, tshi tshi shumisa u khethekanya ha afho nṱha sa ha u thoma. Tshi dovha tsha ṱanganyisa data yaṋu u sumbedza uri zwiṱatisiṱiki zwenezwo zwi vhonala hani musi vhili ḽi songo kheluwa, zwine zwa vha mushonga u ṱavhanyaho wa u vhona zwivhumbeo zwi siho.

Ndingo ya Chi-Square

Fomula

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

Mbudziso

Ndi fanela u shumisa zwipiḓa zwingafhani?

Rathi ndi tshivhalo tshi ḓoweleaho. Zwi si gathi zwi xelela vhuṱanḓavhuṱanḓa; zwinzhi zwi xelela maanḓa. Tanganani nga phanḓa.

Hu itea mini arali zwipiḓa zwivhili zwi re tsini zwoṱhe zwi nṱha?

Zwi ṱanganyiseni ni vhalele z ya tshipiḓa tsho ṱanganyiswaho. Vhukhakhi ha vhukuma kanzhi vhu wela kha mukano.

Mapa wa tafula u na ndeme naa?

Hai. Zwipiḓa ndi zwipiḓa zwa vhili. DazinibeteDazini1–12, 13–24 kana 25–36, i badela 2:1.Vhalani zwoṱhe → na kholomubeteKholomuNomboro dza fumi na mbili kha kholomu nthihi ya u tou ima kha mapa wa tafula, i badela 2:1.Vhalani zwoṱhe → a si zwipiḓa.

Zwa u sea

Vhukhakhi ndi ha zwiṱhu zwi farwaho. Zwi farwaho zwi fhethu huthihi. Lingani zwipiḓa.

Vhukhakhi ndi ha zwiṱhu zwi farwaho. Zwi farwaho zwi fhethu huthihi. Lingani zwipiḓa.

Zwiko

  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.
yo sedzuluswa 2026-09-28tsumbo: ya Yurophu, ziro nthihimaitele ↗zwiko ↗