Ɗakin gwajin roulette · Ɗakin gwaji · Hanya · minti 9

Yadda ake gano karkatar dabaran roulette

Rubutawa, ƙirgawa, gwadawa, sannan ƙarin rubutawa: haka ake gano karkatar dabaran roulette.

Amsa a taƙaice

Ku tattara aƙalla juye-juye dubu daga dabaran ɗaya, ku ƙirga yawan faɗawa a kowane rami, ku yi gwajin chi-squaregwajiGwajin chi-squareGwajin ƙididdiga da ke kwatanta yawan faɗuwar ƙwallo da aka gani a kowane rami da abin da ake tsammani, n/37. Ana amfani da shi don tantance ko dabaran ya karkata.Karanta gaba ɗaya →, kuma ku ɗauki duk wani sakamako guda mai muhimmanci a matsayin dalilin tattara samfuri na biyu mai zaman kansa.

mafi ƙarancin samfuri
~1,000
gwaji
chi-square, df 36
a tabbatar da
samfuri na biyu
samfuri mai amfani
10,000+

1. Rubutawa

Tarihin juye-juye daga teburan kai tsaye ana yawan wallafa su ko nuna su, kuma ana iya kwafa su. Ku lura da wane dabaran ne: teburai suna canza kan dabarankayan aikiKan dabaran (wheel head)Wata kalma ce ga rotor: ɓangaren da ke juyawa mai ɗauke da lambobi.Karanta gaba ɗaya → tsakanin kwanonikayan aikiKwanon dabaran (bowl)Ɓangaren waje na dabaran da ba ya motsi: gefen katako ko haɗaɗɗen abu da ke riƙe da hanyar ƙwallo da apron, wanda rotor ke juyawa a cikinsa.Karanta gaba ɗaya →, kuma karkata ta dabaran ce, ba ta tebur ko ta croupier ba. Ku rubuta kwanan wata da lokaci; dabaran da ya karkata yau za a iya sake sa masa katangun ramuka gobe. Juye-juye dubu shi ne mafi ƙaranci don gwajin ya faɗi wani abu; dubu goma kuma shi ne inda ya fara zama mai amfani.

Karanta tarihin juye-juyen da aka wallafa

2. Ƙirgawa da gwadawa

Ku ƙirga yawan faɗawa a kowane ramikayan aikiRamiƊaya daga cikin ɗakuna 37 masu lamba a kan rotor. Ana kuma kiransa: slot, cup.Karanta gaba ɗaya →. Abin da ake tsammani shi ne n/37 kowanne. Ku ƙididdige ƙimar chi-square, Σ (abin da aka gani − abin da ake tsammani)² / abin da ake tsammani, a kan ramuka 37 sannan ku kwatanta ta da rabe-raben chi-square na matakan ʼyancigwajiDegrees of freedomYawan ƙimomi masu zaman kansu a cikin wata ƙididdiga. A gwajin chi-square a kan ramuka 37, 36 ne, saboda dole ne ƙirge-ƙirgen su haɗu su ba da jimillar.Karanta gaba ɗaya → 36. Mai nazarin karkatar dabaran roulette da ke wannan shafin yana yin hakan a cikin burauza. Ku kuma duba sassan dabarandabaranSasheRamuka da ke bin juna a jere a kan dabaran kamar baka, sabanin ƙungiyar lambobi a kan teburin caca.Karanta gaba ɗaya →: lahani na zahiri yawanci yana shafar ramuka maƙwabta tare, kuma gwajin sashe yana da ƙarancin damar ba da sakamakon ƙarya fiye da gwaje-gwajen rami ɗaya-ɗaya guda 37.

Juye-juye 1,000 daga dabaran mai adalci (kwaikwayo): yawan faɗawa a kowane rami
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
Ana tsammanin 27 a kowane rami. Bambancin da kuke gani hayaniyar kwatsam ce kawai: ramin da ya fi zafi a nan ya samu kusan sau 36 kuma ba shi da wata ma'ana.faɗawa 0faɗawa 40

Gwajin chi-square

3. Maimaitawa

Ku raba bayanan gida biyu, ko ku tattara sabon samfuri mai girma iri ɗaya daga dabaran guda. Karkata ta gaskiya tana bayyana a samfuran biyu; abin da ya faru kwatsam ba ya sake bayyana. Ana tsammanin chi-square mai muhimmanci a matakin 5% a samfuri ɗaya sau ɗaya cikin ashirin daga dabaran mai adalci, kuma ɗan wasan da ke duba dabaran da yawa zai riƙa samun irin waɗannan samfura kullum. Sai bayan maimaitawa ne ya cancanci a lissafa ko ramukan masu zafi suna biya isasshe don doke 2.70%.

Juye-juye 1,000 daga dabaran da ke da ainihin lahani (kwaikwayo): sashe 8–23–10 yana zafi
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
Wani baka na ramuka maƙwabta a dabaran yana samun ƙwallo fiye da yadda ake tsammani. Haka rotor da ya karkata ko katangar rami da ta sako-sako take kama, kuma zai buƙaci samfuri na biyu don tabbatarwa.faɗawa 0faɗawa 49

4. Auna girman tasirin

Muhimmancin ƙididdiga yana cewa watakila dabaran ba mai adalci ba ne. Riba kuwa tana buƙatar rami ya riƙa faɗawa a 1/36 ko fiye, tunda straight upcacaStraight upLamba ɗaya tak, biya 35:1.Karanta gaba ɗaya → (cacar lamba ɗaya) yana biya 35 zuwa 1. Ramin da aka ga ya samu sau 40 cikin 1,000 yana nufin 1/25, wanda zai kawo riba mai yawa idan gaskiya ne, kuma zai zama abin da ya kai 2.5-sigma idan dabaran mai adalci ne; ana tsammanin samfuri na biyu na 1,000 ya sake nuna shi a 40 ± 6 idan karkatar gaskiya ce, da kuma 27 ± 5 idan hayaniyar kwatsam ce.

yawan faɗawa a ramiƙimar da ake tsammani da hakan ke nunawa a kan straight upjuye-juyen tabbatarwa (kimanin)
1/37 (mai adalci)−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
Juye-juyen da ake buƙata don ganowa a kusan ƙarfin gwaji 80%, gefe ɗaya 5%. Karkatar da ta cancanci a nema tana buƙatar dubun dubatar juye-juye don a tabbatar da ita.

Me ke biyo baya: gano karkatar dabaran roulette a gidajen caca na zamani

A da: a yi caca a kan sashen mai zafi, a ci har gidan caca ya lura, sannan a hana mutum shiga ko a ga dabaran ya ɓace. Iyalin García-Pelayo sun yi haka kusa da Madrid a farkon shekarun 1990, kuma lokacin da gidan caca ya hana su, kotunan Spain sun soke hanin. Yanzu gidajen caca suna canza rotorkayan aikiRotorƁangaren dabaran da ke juyawa wanda ke ɗauke da ramuka.Karanta gaba ɗaya → tsakanin kwanoni kuma suna auna ramuka bisa jadawali; karkatar da ta isa a gan ta a juye-juye dubu ba za ta tsira daga zagayen gyara ɗaya ba. Hanyar tana da inganci, amma gano karkatar dabaran roulette a gidajen caca na zamani ya makara: a aikace, damar ta riga ta tafi.

Shahararrun ʼyan wasan rouletteGonzalo García-Pelayo: tsarin caca na roulette

Kullum akwai ramin da ya fi samun ƙwallo

Zaɓar ramin da ya fi samun ƙwallo sannan a gwada shi shi kaɗai tarko ne, domin dabaran mai adalci kullum yana da ramin da ya fi samu. Bayan juye-juye 3,700 ana tsammanin kowane rami ya samu sau 100, amma wanda ya fi samu yawanci yana nuna kusan 122, kuma a samfuri ɗaya cikin ashirin yana nuna 131 ko fiye. Wanda ya fi ƙaranci yawanci yana nuna kusan 79. Don haka rami mai 125 cikin juye-juye 3,700 ba wani abin gano ba ne: ku kwatanta shi da abin da ramin da ya fi samu a dabaran mai adalci yake yi, ba da 100 ba.

ramin da ya fi samu bayan juye-juye 3,700dabaran mai adalci
matsakaici122
tsakiya (median)121
samfuri 1 cikin 20131 ko fiye
samfuri 1 cikin 100136 ko fiye
Dabaran mai sifili ɗaya, ana tsammanin 100 a kowane rami. Kwaikwayon samfura 20,000 masu adalci yana ba da irin wannan kewayon lambobi masu zafi.
Dabaran mai adalci kullum yana da ramin da ya fi samu: ku kwatanta shi da ramin da ya fi samu a dabaran mai adalci, ba da matsakaici ba.

Kurakuran da aka saba yi

Haɗa juye-juye daga dabaran daban-daban ko kawunan dabaran daban-daban. Gwadawa bayan an ga bayanan sannan a zaɓi rukunin da ya fi muni. Ɗaukar lamba mai zafitatsuniyaLamba mai zafiLambar da ta fito fiye da yadda ake tsammani a kwanan nan. A dabaran da ke da adalci ba ta hasashen komai.Karanta gaba ɗaya → a juye-juye 200 a matsayin alama. Mantawa cewa gwajin yana ɗauka juye-juye ba sa dogara da juna, don haka tasirin sa hannun croupier ma zai ƙara chi-square ba tare da wani rami ya zama ana fifita shi a zahiri ba.

Alamar hannun croupier a roulette

Tambayoyi

Juye-juye nawa nake buƙata?

1,000 don a iya yin gwajin kwata-kwata; dubbai da dama don gano karkatar da ta cancanta; dubun dubatar don tabbatar da ita.

Zan iya amfani da sakamakon allon nuni na gidan caca?

Sai idan ya nuna wane dabaran ne kuma ya nuna isassun juye-juye. Yawancin alluna suna nuna 20 zuwa 500, wanda bai isa ba.

Me chi-square mai muhimmanci yake tabbatarwa?

Cewa watakila dabaran ba ya ba da sakamako daidai-wa-daida. Ba cewa wani rami yana biya isasshe ba, kuma ba cewa tsarin zai ci gaba ba.

Nishaɗi da lissafi

Ku fara gwada waɗannan da kanku. Kowace mafita a naɗe take; ku buɗe ta idan kun shirya.

  1. A wani dabaran da ya tsufa, ramukakayan aikiRamiƊaya daga cikin ɗakuna 37 masu lamba a kan rotor. Ana kuma kiransa: slot, cup.Karanta gaba ɗaya → uku na jacacaJaCacar ɗaya zuwa ɗaya (even-money) a kan lambobi ja 18. A Faransanci: rouge.Karanta gaba ɗaya → ba su da zurfi sosai, kuma 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 → da zai tsaya a cikinsu yana ci gaba da birgima zuwa cikin ramukan baƙicacaBaƙiCacar ɗaya zuwa ɗaya (even-money) a kan lambobi baƙi 18. A Faransanci: noir.Karanta gaba ɗaya → da ke kusa da su, don haka ja yana fitowa sau 15 cikin 37, baƙi kuma 21. Nawa cace-cace a kan ja da a kan baƙi ke jawo asara ko riba yanzu?

    Nuna mafita

    Amsa Farashin ja 18.9% ne; baƙi yana ba da riba ta 13.5%.

    Ja yana cin nasara sau 15 cikin 37 kuma yana rasawa sau 22: (15 − 22)/37 = −18.9%. Baƙi yana cin nasara sau 21 kuma yana rasawa sau 16: (21 − 16)/37 = +13.5%.

    Karkatar dabaran tana yanka ta ɓangarori biyu. Dabaran da ke ba da fifiko ga ɗan wasan da ya auna shi yana cajin ninki bakwai na farashin da aka saba ga ɗan wasan da ya goyi bayan launin da bai dace ba. Hunacek (2025) ya yi amfani da misali makamancin haka.

    Ramuka uku cikin 37 lahani ne mai tsanani. Karkatar dabaran ta gaske galibi ɗan kaso ne na wannan, kuma tana buƙatar dubban juye-juye kafin a bambance ta da sa'a, kamar yadda wannan shafi ya nuna.

Ɗan barkwanci

Rubutawa, ƙirgawa, gwadawa, maimaitawa. Maimaitawa ita ce mai wuya.

Rubutawa, ƙirgawa, gwadawa, maimaitawa. Maimaitawa ita ce mai wuya.

Majiyoyi

  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. Babi na 13, roulette.
  4. Wizard of Odds. “Hot Numbers in Roulette: Myths and Facts.” An sabunta 3 ga Agusta, 2026.
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