Lab yeRoulette · Lab · Nzira · maminitsi 9

Maonero eKutsauka kweVhiri reRoulette

Nyorai, vergai, edzai, mozonyora zvimwe zvakare: ndiyo nzira yekuona kutsauka kwevhiri reRoulette.

Mhinduro pfupi

Unganidzai kutenderera kanokwana chiuru kubva pavhiri rimwe, vergai kurova pagomba rimwe nerimwe, itai bvunzo yechi-squareongororoBvunzo yechi-squareBvunzo yenhamba inoenzanisa kuwira kwakaonekwa pagomba rimwe nerimwe neiyo inotarisirwa n/37. Inoshandiswa kutonga kana vhiri richitsauka.Verengai zvese →, uye mutore mhedzisiro imwe chete ine kukosha sechikonzero chekuunganidza sampuru yechipiri yakazvimirira.

sampuru shoma
~1,000
bvunzo
chi-square, df 36
simbisai ne
sampuru yechipiri
sampuru inobatsira
10,000+

1. Nyorai

Nhoroondo dzekutenderera kubva kumatafura emhenyu kazhinji dzinoburitswa kana kuratidzwa uye dzinogona kukopwa. Nyorai kuti vhiri nderipi: matafura anotamisa misoro yevhirimidziyoMusoro wevhiriRimwe zita rerotor: chikamu chinotenderera chakatakura nhamba.Verengai zvese → pakati pendiro dzevhirimidziyoNdiro yevhiriChikamu chekunze chevhiri chisingafambe: mucheto wehuni kana wezvinhu zvakasanganiswa unobata mugero webhora neapron, mukati mawo munotenderera rotor.Verengai zvese →, uye kutsauka ndekwevhiri, kwete kwetafura kana kwemutambisi. Nyorai zuva nenguva; vhiri rinotsauka nhasi ringaiswa mafret matsva mangwana. Kutenderera chiuru ndiko kushoma kuti bvunzo itaure chimwe chinhu; zviuru gumi ndipo painotanga kubatsira.

Kuverenga Nhoroondo Dzekutenderera Dzakaburitswa

2. Vergai uye edzai

Vergai kurova pagombamidziyoGombaImwe yemakamuri 37 ane nhamba parotor. Mamwe mazita: slot, cup.Verengai zvese → rimwe nerimwe. Zvinotarisirwa i n/37 pagomba rimwe nerimwe. Verengai nhamba yechi-square, Σ (zvakaonekwa − zvinotarisirwa)² / zvinotarisirwa, pamakomba 37 moienzanisa nekugovaniswa kwechi-square pamadhigirii erusunungukoongororoMadhigirii erusunungukoHuwandu hwemaitiro akazvimirira munhamba yeongororo. Pabvunzo yechi-square pamakomba 37 i36, nokuti nhamba dzinofanira kusanganiswa dzosvika pahuwandu hwese.Verengai zvese → 36. Muongorori weKutsauka kweVhiri reRoulette pawebhusaiti ino anozviita mubrowser. Tarisaiwo zvikamu zvevhirivhiriChikamu chevhiriRutivi rwemakomba akatevedzana pavhiri, rwakasiyana neboka riri patafura yekubhejera.Verengai zvese →: chikanganiso chemuviri kazhinji chinobata makomba akavakidzana pamwe chete, uye bvunzo yechikamu ine mikana mishoma yekupa mhedzisiro yenhema kupfuura bvunzo 37 dzemakomba mamwe nemamwe.

Kutenderera 1,000 kubva pavhiri rakarurama (kwakaedzeswa): kurova pagomba
0
32
15
19
4
21
2
25
17
34
6
27
13
36
11
30
8
23
10
5
24
16
33
1
20
14
31
9
22
18
29
7
28
12
35
3
26
Zvinotarisirwa 27 pagomba. Kusiyana kwamunoona iruzha chete: gomba rinopisa zvikuru pano rakarohwa kanenge ka36 uye harirevi chinhu.kurova 0kurova 40

Bvunzo yeChi-Square

3. Dzokorodzai

Kamurai data muhafu mbiri, kana unganidzai sampuru itsva yehukuru humwe chete kubva pavhiri rimwe chete. Kutsauka kwechokwadi kunooneka mumasampuru ese ari maviri; chiitiko chemhanza hachioneki. Chi-square ine kukosha pa5% musampuru imwe inotarisirwa kamwe chete muna makumi maviri kubva pavhiri rakarurama, uye mutambi anoongorora mavhiri mazhinji achawana masampuru akadaro nguva dzese. Kana zvadzokororwa chete ndipo pazvinokosha kuverenga kana makomba anopisa achibhadhara zvakakwana kukunda 2.70%.

Kutenderera 1,000 kubva pavhiri rine chikanganiso chechokwadi (kwakaedzeswa): chikamu 8–23–10 chichipisa
0
32
15
19
4
21
2
25
17
34
6
27
13
36
11
30
8
23
10
5
24
16
33
1
20
14
31
9
22
18
29
7
28
12
35
3
26
Rutivi rwevhiri rwakatevedzana rwakakwira. Ndizvo zvinoita rotor yakarereka kana fret yakasununguka, uye zvaizoda sampuru yechipiri kuti zvisimbiswe.kurova 0kurova 49

4. Yerai ukuru hwemhedzisiro

Kukosha kunoti vhiri ringangove risina kururama. Purofiti inoda kuti gomba rirohwe pa1/36 kana zviri nani, sezvo straight upbhetiStraight upNhamba imwe chete, rinobhadhara 35:1.Verengai zvese → ichibhadhara 35 kusvika ku1. Gomba rakaonekwa richirohwa ka40 mu1,000 i1/25, izvo zvaizopa purofiti huru kana zvechokwadi, uye zvaizovawo chiitiko che2.5-sigma kana vhiri rakarurama; sampuru yechipiri ye1,000 yaitarisirwa kuriratidza zvakare pa40 ± 6 kana kutsauka kwacho kwechokwadi uye pa27 ± 5 kana kwaive ruzha.

chiyero chekurohwa kwegombaEV inoreva pa straight upkutenderera kunodiwa kusimbisa (kungoti)
1/37 (rakarurama)−2.70%—
1/360.00%≈ 1,000,000
1/35+2.86%≈ 70,000
1/33+9.1%≈ 10,000
1/30+20%≈ 4,400
1/25+44%≈ 1,100
Kutenderera kunodiwa kuona pa80% power, one-sided 5%. Kutsauka kwakakodzera kuva nako kunotora kutenderera kwezviuru makumi kuti kuratidzwe.

Zvinotevera: kuona kutsauka kwevhiri reRoulette mumakasino emazuva ano

Kare: bhejai chikamu chinopisa, kundai kusvika kasino yaona, mozorambidzwa kana kuona vhiri richinyangarika. Mhuri yekwaGarcía-Pelayo yakaita izvi pedyo neMadrid kutanga kwema1990, uye kasino payakavarambidza matare eSpain akadzima kurambidza ikoko. Makasino ava kutamisa marotormidziyoRotorChikamu chevhiri chinotenderera chakatakura makomba.Verengai zvese → pakati pendiro uye anoyera makomba zvichienderana nehurongwa; kutsauka kukuru zvakakwana kuti kuonekwe mukutenderera chiuru hakwaizopona kuchengetedzwa kwevhiri. Nzira yacho yakanaka, asi kuona kutsauka kwevhiri reRoulette mumakasino emazuva ano kunouya nguva yapfuura: mukana wacho, muchiitiko, hauchipo.

Vatambi veRoulette Vane MukurumbiraGonzalo García-Pelayo: Sisitimu yeRoulette

Gomba rinonyanya kurohwa rinogara rakabatikana

Kusarudza gomba rinonyanya kurohwa woriedza riri roga musungo, nokuti vhiri rakarurama rinogara riine gomba rinonyanya kurohwa. Mushure mekutenderera 3,700 gomba rega rega rinotarisira kurohwa ka100, asi rinonyanya kazhinji rinoratidza ingangoita 122, uye musampuru imwe muna makumi maviri rinoratidza 131 kana kupfuura. Rinonyanya kunyarara kazhinji rinoratidza ingangoita 79. Saka gomba riri pa125 mukutenderera 3,700 harisi chiwanikwa: rienzanisei nezvinoitwa negomba rinonyanya kurohwa pavhiri rakarurama, kwete ne100.

gomba rinonyanya kurohwa mushure mekutenderera 3,700vhiri rakarurama
avhareji122
median121
sampuru 1 muna 20131 kana kupfuura
sampuru 1 muna 100136 kana kupfuura
Vhiri rezero imwe, 100 zvinotarisirwa pagomba. Kuedzesera kwemasampuru akarurama 20,000 kunopa huwandu hwenhamba dzinopisa hwakafanana.
Vhiri rakarurama rinogara riine gomba rinonyanya kurohwa: rienzanisei negomba rinonyanya kurohwa pavhiri rakarurama, kwete neavhareji.

Zvikanganiso zvakajairika

Kusanganisa kutenderera kubva pamavhiri akasiyana kana misoro yevhiri yakasiyana. Kuedza mushure mekuona data nekusarudza kuronga kunoratidzika kwakaipisisa. Kutora nhamba inopisanganoNhamba inopisaNhamba yabuda kakawanda kupfuura zvaitarisirwa munguva pfupi yapfuura. Pavhiri rakarurama haifanotauri chinhu.Verengai zvese → mukutenderera 200 sechiratidzo. Kukanganwa kuti bvunzo inofungidzira kuzvimirira, saka siginecha yemutambisi yaizowedzerawo chi-square pasina gomba rinofarirwa nemuviri.

Siginecha yeMutambisi weRoulette

Mibvunzo

Ndinoda kutenderera kungani?

1,000 kuti bvunzo iitwe zvachose; zviuru zvakati wandei kuona kutsauka kwakakodzera kuva nako; zviuru makumi kuti kusimbiswe.

Ndinogona kushandisa mhedzisiro kubva pabhodhi rekasino here?

Chete kana richiratidza kuti vhiri nderipi uye kutenderera kwakakwana. Mabhodhi mazhinji anoratidza 20 kusvika 500, izvo zvisina kukwana.

Chi-square ine kukosha inoratidza chii?

Kuti vhiri ringangove risiri kuburitsa mhedzisiro yakaenzana. Kwete kuti pane gomba rinobhadhara zvakakwana, uye kwete kuti maitiro acho achaenderera.

Kutamba neMasvomhu

Edzai izvi imi pachenyu pekutanga. Mhinduro yega yega yakapetwa; ivhurei kana magadzirira.

  1. Pavhiri rakasakara makombamidziyoGombaImwe yemakamuri 37 ane nhamba parotor. Mamwe mazita: slot, cup.Verengai zvese → matatu tsvukubhetiTsvukuBheti remubhadharo wakaenzana panhamba 18 tsvuku. ChiFrench: rouge.Verengai zvese → haana kudzika zvishoma, uye bhoramidziyoBhoraBhora diki rinokandwa mumugero richienda rimwe divi nerotor. Mabhora emazuva ano ndeeivorine kana Teflon, 18–21 mm.Verengai zvese → raizomira mazviri rinoenderera kupinda mumakomba nhemabhetiNhemaBheti remubhadharo wakaenzana panhamba 18 nhema. ChiFrench: noir.Verengai zvese → ari padivi pawo, saka tsvuku inobuda ka15 pa37 uye nhema ka21. Mabheti patsvuku nepanhema zvino anodhura kana kuwana marii?

    Ratidza mhinduro

    Mhinduro Tsvuku inodhura 18.9%; nhema inowana 13.5%.

    Tsvuku inokunda ka15 pa37 uye inorasikirwa ka22: (15 − 22)/37 = −18.9%. Nhema inokunda ka21 uye inorasikirwa ka16: (21 − 16)/37 = +13.5%.

    Kutsauka kunocheka kumativi ose. Vhiri rinopa mukana pamusoro kumutambi akariyera rinobhadharisa kanomwe kupfuura mutengo wakajairwa kumutambi anotsigira ruvara rusiri iko. Hunacek (2025) anoshandisa muenzaniso wakafanana.

    Makomba matatu pa37 chikanganiso chakanyanyisa. Kutsauka chaiko kazhinji chikamu chidiki chaizvozvi, uye kunotora kutenderera kwezviuru kuti kusiyaniswe nerombo, sezvinoratidzwa nepeji rino.

Kuseka zvishoma

Nyorai, vergai, edzai, dzokorodzai. Kudzokorodza ndiko kwakaoma.

Nyorai, vergai, edzai, dzokorodzai. Kudzokorodza ndiko kwakaoma.

Zvinyorwa

  1. Pearson, K. “On the criterion that a given system of deviations from the probable…” Philosophical Magazine 50(302), 1900.
  2. Barnhart, R. T. Beating the Wheel. Lyle Stuart, 1983.
  3. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Chitsauko 13, Roulette.
  4. Wizard of Odds. “Hot Numbers in Roulette: Myths and Facts.” Yakagadziridzwa 3 Nyamavhuvhu 2026.
yakaongororwa 2026-09-28modhi: yeEurope, zero imwemaitiro ↗zvinyorwa ↗