Rrhun n tama s zzhaṛ d usuffeɣ
Rrhun n tama i d-yernan ɣer uḍebsi allal wis sin agacuran: zzhaṛ, tikarḍiwin, uṭṭunen yettwajebden, tawinest tagensant, tikurin nniḍen. Allal-a yerna-d arraz; maca ssuma-s mazal d leḥsab n yigmaḍ s wazal n lexlaṣ.

Rrhun-a ttwafran s tuzzya d kra nniḍen yid-s. Roul 8 d Lucky Colour Chips ḍeggren kraḍ n zzhaṛ, ssuma-nsen 5,46%. Lucky Ball ijebbed ukkuẓ n wuṭṭunen, ssuma-s seg 4,05% ar 6,08% s yini. Blazing 7s ijebbed kraḍ n wuṭṭunen, ssuma-s 10,07%, u Richer Spin, tawinest tis snat yettezzin daxel n uḍebsi, ssuma-s 12,47%. Spread-Bet yettarnu uṭṭunen n snat n tewinas, ssuma-s seg 8,69% ar 12,34% ɣef uḍebsi s yiwen yilem; Lucky Symbols, aḍebsi n sa n yizamulen, ssuma-s ugar n 10% ɣef yal ajerriḍ yettwajerden.
Zzhaṛ d tkarḍiwin ɣer tama
Roul 8, yettwaurar deg Bruxelles, yeḍegger kraḍ n zzhaṛ, yal yiwen s 8 ɣef yiwen udem: 888 i 1 mi ara teɣli tkurtibenkanTakurtTakurt tamecṭuḥt i yettwaḍeqqren deg ubrid mgal aqerru yettezzin. Tikurin n tura d ivorine neɣ d Teflon, 18–21 mm.Ɣer akk → ɣef 8 u ad d-sskanen kraḍ n zzhaṛ 8. S 5,46% ɣef uḍebsi s yiwen yilemaḍebsiIlemTaxxamt tazegzawt tasuft ur yeṭṭif ula d yiwen n rrehn s lexlaṣ imsawi, n ddzina neɣ n tgejdit; d aɣbalu n lmaziyya n lkazinu. Daɣen: yiwen yilem, 0.Ɣer akk →, d yiwen seg rrhun n tamarrehnRrehn n tamaRrehn nniḍen s lebɣi yeqqnen ɣer wurar agejdan, s umata ɣef yizrar, ɣef tedyant n ubunus neɣ ɣef jackpot. Qrib yal tikkelt ɣlay ugar n rrhun imagnuten.Ɣer akk → ur nesɛi ara ssuma meqqren i yettwajerden. Jackpot IzirigenrrehnIzirigKraḍ n wuṭṭunen deg yiwen ujerriḍ n tfelwit, ixelleṣ 11:1. S tefransist: transversale.Ɣer akk → yessenqas lexlaṣidrimenLexlaṣAyen i d-yettak rrehn i yerbḥen, yettwanna «X ɣef 1» nnig rrehn i d-yettuɣalen.Ɣer akk → n yizirig seg 11 ɣef 1 ɣer 5 ɣef 1, syin ixelleṣ 17 ɣef 1 s yiwen n sḍis ɣef sin n zzhaṛ d 90 ɣef 1 s sin: 5,18%, mgal 2,70% i yizirig amagnu. Flush Roulette, n Stephen Au-Yeung, ijebbed snat n tewsatin i yal tuzzya s zzhaṛ n tewsatin neɣ s tkarḍiwin, u ixelleṣ rrehn ɣef yiwen wuṭṭunrrehnYiwen wuṭṭunYiwen wuṭṭun kan, ixelleṣ 35:1.Ɣer akk → 17, 50 neɣ 100 ɣef 1 ma yella ulac, yiwet neɣ snat i yemṣadan d tin-nwen. Alemmas n lexlaṣ n rrbeḥ d 34 9/16 ɣef 1, ddaw 35 cwiṭ, ihi lmaziyya d 3,89%; ma ixelleṣ 51 d 101 ɣef 1, ad d-tuɣal 2,70%.

Roul 8: kraḍ n zzhaṛ d wuṭṭun n zzher
Roul 8, deg Grand Casino n Bruxelles, yerna-d kraḍ n zzhaṛ, yal yiwen ulac fell-as kra ala yiwen udem i yesɛan 8 (∞, d 8 yeknan ɣef tama, deg kra n yineqqisen). Rrehn ixelleṣ «i 1» ma teɣli tkurt ɣef 8, ma sskanen zzhaṛ 8, neɣ s sin. Arraz ameqqran 888 i 1 yesra takurt ɣef 8 d kraḍ n zzhaṛ ɣef 8: taprubabilit n 1 seg 7 992, s wazal n 11 n ssentim seg yal dular yettwarehnen. Tẓa n tikkal seg mraw, rrehn ur d-yettarra acemma. Lmaziyya d 5,46% ɣef uḍebsi s yiwen yilem d 6,51% ɣef uḍebsi s sin yilmawen, d tamecṭuḥt i rrehn n tama.
Lucky Colour Chips: zzhaṛ s yini-nwen
Lucky Colour ChipsidrimenAjiṭunTamatart i d-yemmalen azal yettwasbedden, yettwasersen ɣef tfelwit akken ad yili rrehn. Daɣen: check.Ɣer akk →, deg Macau Casino Complex deg Cork, Irlanda, deg 2022, d rrehn n tama ɣef yiwen wuṭṭun i sḍis n yimuraren ugar ur yelli, yal yiwen s yini n yijiṭunen-is. Mi ara yerbeḥ wuṭṭun-nwen, ad ttwaḍeggren kraḍ n zzhaṛ, yal yiwen s sḍis n yiniten n yijiṭunen ɣef yudmawen-is. Kraḍ s yini-nwen xelleṣen 300 ɣef 1; kraḍ s yiwen yini nniḍen, neɣ sin s yini-nwen, 70 ɣef 1; sin yemṣadan s yini nniḍen 40 ɣef 1; kraḍ n yiniten yemgaraden 22 ɣef 1. Yal rrbeḥ ixelleṣ ma drus 22 ɣef 1, maca rrehn yesɛa ssuma n 5,46% ɣef uḍebsi s yiwen yilem, snat n tikkal n rrehn amagnu ɣef yiwen wuṭṭun.

Lucky Ball: ukkuẓ n wuṭṭunen yettwajebden
Lucky Ball d urar aliktruni s yiwen yilem. Mi ara ttwamedlen rrhun, ukkuẓ n wuṭṭunen ttwajebden s zzher, yiwen i uzeggaɣrrehnAzeggaɣRrehn s lexlaṣ imsawi ɣef 18 n wuṭṭunen izeggaɣen. S tefransist: rouge.Ɣer akk →, i uzegzaw, i unili d uwraɣ, u yiwen seg ukkuẓ n yiniten yettwafren i ubunus. Rrehn ɣef yini yettrebḥ mi ara d-teɣli tuzzya ɣef wuṭṭun n yini-nni, 1 n tikkelt seg 37, u ixelleṣ s wazal n ubunus ma d yini-nni i yettwafernen. I yini ixelleṣen A ɣef 1, neɣ B ɣef 1 s ubunus, lmaziyya d (144 − 3A − B)/148; tiwuriwin i d-iteddun sskanent-d ansi i d-tekka. Tafelwit n lexlaṣidrimenTafelwit n lexlaṣUmuɣ n wayen ixelleṣ yal rrehn neɣ yal agmuḍ. Ɣef tmacinin d rrhun n tama, dagi i tettwasbedd lmaziyya n lkazinu.Ɣer akk → akk tamecṭuḥt, tin n uzeggaɣ, d tin akk ur nɣellu ara.
Lucky Ball amaynut
Ilugan n Interblock i twilayt n Washington, yettwazznen deg 2024, glemen-d rrehn nniḍen s yiwen yisem. Tfernem uṭṭun n zzher. S zzher, s ulemmas yiwet n tikkelt seg 5 ar 30 n tuzzyiwin almend n tfelwit n lexlaṣ, takurt yellan deg wurar tuɣal d takurt n zzher. Rrehn ixelleṣ arraz amecṭuḥ, seg 2 ɣef 1 ar 11 ɣef 1, yal tikkelt ara d-tas tkurt n zzher, d arraz ameqqran, seg 40 ɣef 1 ar 575 ɣef 1, ma teɣli ɣef wuṭṭun-nwen; d arraz ameqqran kan i yettwaxelṣen. Lkazinu tettextir yiwet seg xmesṭac n tfelwiyin n lexlaṣ, i d-yettarran seg 80,00% ar 91,35% n wayen yettwarehnen: lmaziyya seg 8,65% ar 20,00%, seg snat ar semmus n tikkal n ujerriḍ azeggaɣ aqdim.
Blazing 7s: kraḍ n sa yettwajebden
Blazing 7s, n Scientific Games, yettrebḥ mi ara teɣli tkurt ɣef 7, 17 neɣ 27. Syin kraḍ n wuṭṭunen ttwajebden seg 38 n uḍebsi, war asales, u arraz yeqqen ɣer acḥal deg kraḍ-nni i d 7, 17 neɣ 27: 1 000 ɣef 1 i kraḍ akk, 100 ɣef 1 i sin, 17 ɣef 1 i yiwen, 7 ɣef 1 ma ulac. Ssuma n rrehn d 10,07%. Lukan yettwaǧǧa usales deg ujbad, arrazen-nni ad sɛun ssuma n 4,48% kan: sa i yettwajebden ur yezmir ad d-yettwajbed tikkelt nniḍen, ayen yettaǧǧan arrazen imeqqranen ttilin drus.
Richer Spin: aḍebsi daxel n uḍebsi
Richer Spin, n TCS John Huxley, yettwasken deg Global Gaming Expo deg 2021 u yettwaurar deg El Cortez deg Las Vegas deg 2023. Tawinest tagensant n 38 n yimukan tettezzi s tnila nniḍen n wuṭṭunen u tettḥbes mi ara teḥbes tkurt. Deg El Cortez, tesɛa 1 n wadeg n ureɣ, 9 n lfeṭṭa, 4 inili, 4 imidadiyen d 20 war kra. Rrehn yettwasers ɣef yiwen wuṭṭun. Ma teɣli tkurt dinna, adeg agensan i iwekkden arraz: 299 ɣef 1 ɣef ureɣ, 99 ɣef 1 ɣef lfeṭṭa, 7 ɣef 1 ɣef unili neɣ amidadi, acemma ɣef wadeg war kra. Rrhun weḥd-sen ɣef unili neɣ amidadi xelleṣen 7 ɣef 1 akken yebɣu yili wuṭṭun.

Ukkuẓ n tkurin, yiwen wuṭṭun: Lightning Launch
Lightning Launch Roulette (Scientific Games, 2018) d urar n uvidyu s ukkuẓ n yimukan d ukkuẓ n tkurin tuhlisin ɣef uḍebsi s sin yilmawen, yiwet n tkurt i yal amurar. Rrehn Bonus n $1 yettwasers ɣef yiwen wuṭṭun u yettwafru ɣef ukkuẓ n tkurin: 5 i 1 ma teɣli yiwet dinna, 75 i 1 i snat, 1 000 i 1 i kraḍ d 10 000 i 1 i ukkuẓ. Azal n yiwen n rrehn Bonus seg mraw i yettrebḥen kra, qrib yal tikkelt 5 i 1, i d 4 ɣef 1 s wawal yettwassnen, mgal 35 ɣef 1 i yiwen wuṭṭun-nni ɣef yiwet n tkurt. Lmaziyya d 14,29%.
Spread-Bet: snat n tewinas yettwarnan
Spread-Bet Roulette, n Cammegh, amsefk n yiḍebsiyen n Briṭanya, yesskan-d snat n tewinas n wuṭṭunen ɣef ugdil n ṭṭabla, yal yiwet deg-sent tesɛa yal uṭṭun n uḍebsi yiwet n tikkelt. Ttezzint s tnila yemgaraden u ttḥbisent mi ara imdel ukrupi rrhun; Cammegh yenna-d belli ulac amsirew n wuṭṭunen igacuranen. Sin wuṭṭunen i d-sskanent ttwarnan wa ɣer wa, ad d-fken amatu seg 0 ar 72, 00 yettwaḥsab d 0. Sa n rrhun ɣef tfelwitibenkanTafelwit n rrhunAẓeṭṭa n rrhun yettwarun ɣef ṭṭabla. Daɣen: ṭṭabla, tajellabt, aceṭṭiḍ.Ɣer akk →, yal yiwen yeṭṭef kra n yimatuten yemseḍfaren. Am di sin n zzhaṛ, imatuten n tlemmast d wid i d-yettasen ugar: ɣef uḍebsi s yiwen yilem, amatu 36 yezmer ad d-yili s 37 n yiberdan, 0 d 72 s yiwen ubrid yal yiwen. Lkazinu tettextir yiwet seg ukkuẓ n tfelwiyin n lexlaṣ i uḍebsi s yiwen yilem neɣ yiwet seg semmus i uḍebsi s sin yilmawen; New Jersey yeqbel-itent akk tẓa deg 2017. Ɣef uḍebsi s yiwen yilem, yal rrehn ssuma-s seg 8,69% ar 12,34%, seg kraḍ ar ukkuẓ d wazgen n tikkal n wurar agejdan.
Lucky Symbols: aḍebsi n yizamulen ɣef ugdil
Lucky Symbols, rrehn n tama nniḍen n Cammegh, yerna-d sa n tenkulin n yizamulen ɣer tfelwit. Deg yal tuzzya, aḍebsi n yizamulen am win n tmacint n slot ɣef ugdil n ṭṭabla tettḥbis ɣef yiwen uzamul, u rrhun fell-as ttwaxelṣen; tira n wurar tenna-d belli azamul yettwasbadu s urured n tkurt d uḍebsi. Lkazinu tettextir tiprubabiliyin d lexlaṣ, u Cammegh yesnuzu rrehn s ufecku i useggem-nsen. Tafelwit n lexlaṣ yettwajerden deg Casino at the Empire deg London deg 2014, d deg Montecasino deg Tefriqt n Wadda, tedda seg lexlaṣ imsawi ɣef Prosperity, i d-yettasen qrib azgen n tikkal, ar 80 ɣef 1 ɣef Dragon d Tiger. Yal ajerriḍ ssuma-s ugar n 10%, snat n tikkal n 5,26% n uḍebsi s sin yilmawen i yellan ɣer tama-s.
Ayen i d-sskanen rrhun-a
Yiwen ubrid i usiḍen n ssuma-nsen akk: jerdet igmaḍ, segtet yal lexlaṣ s taprubabilit-is, rnut-ten.
- Allal wis sin agacuran, aḍebsi agensan neɣ zzhaṛ, yerna-d arrazen maca mačči lḥeqq: ssuma tqqim d leḥsab n yigmaḍ s wazal n lexlaṣ.
- Yiwen n rrehn yezmer ad yesɛu aṭas n tfelwiyin n lexlaṣ s ssuma yemgaraden. Deg Lucky Ball, azeggaɣ d ajerriḍ ur nesɛi ara ssuma meqqren.
- Ajbad war asales ibeddel assaɣ: Blazing 7s ssuma-s snat n tikkal n wayen ara yesɛu lukan yettwaǧǧa usales.
Isteqsiyen
Flush Roulette, s 3,89%, syin Lucky Ball ɣef uzeggaɣ, s 4,05%. Sin-nni ssuma-nsen mazal tugar n rrehn amagnu ɣef yiwen uḍebsi.
Richer Spin d afaris n tura n TCS John Huxley, u Lucky Ball amaynut yella deg yilugan n Interblock n 2024 i twilayt n Washington. Spread-Bet d Lucky Symbols d ifarisen n tura n Cammegh. Wiyaḍ ttwalan deg yiwet neɣ snat n lkazinu kan, ihi nadit uqbel ad tinigem ɣef yiwen deg-sen.
Ilugan d tfelwiyin n lexlaṣ kkan-d seg Bollman (2021) d yineqqisen yettwasuffɣen. Yal lmaziyya deg usebter-a tettwasiḍen seg tfelwiyin-nni.
Urar s tusnakt
Ɛerḍet-tent s yiman-nwen qbel. Yal tifrat tettwaffer; ldit-tt mi ara tilim twejdem.
Rrehn Lucky Ball ɣef yini ixelleṣ A ɣef 1 ma yeffeɣ-d wuṭṭun yettwasufeɣ n yini-nni, neɣ B ɣef 1 ma yella yini-nni yettwafren daɣen i ubunus, ayen yettḍurun yiwet n tikkelt deg ukkuẓ. Sseknet belli lmaziyya d (144 − 3A − B)/148, u ḥesbet azal n uzeggaɣrrehnAzeggaɣRrehn s lexlaṣ imsawi ɣef 18 n wuṭṭunen izeggaɣen. S tefransist: rouge.Ɣer akk →, i yixelleṣ 6 d 120 ɣef 1.
Sken-d tifrat
Tiririt Azeggaɣ yetteklif 6/148 = 4,05%.
Uṭṭun n yini yeffeɣ-d yiwet n tikkelt deg 37 n tuzzyiwin. Mi ara d-yeffeɣ, kraḍ n tikkal deg ukkuẓ rrehn ixelleṣ A u yiwet n tikkelt deg ukkuẓ ixelleṣ B, alemmas n (3A + B)/4. 36 n tuzzyiwin nniḍen seg 37 xesrent rrehn.
Ihi azal yettwaṛǧantusnaktAzal yettwaṛǧanAlemmas n ugmuḍ n yal rrehn deg uɣawas aɣezfan. −1/37 n rrehn i yal rrehn amagnu awrupi.Ɣer akk → d (1/37) × (3A + B)/4 − 36/37 = (3A + B − 144)/148.
Azeggaɣ: 3 × 6 + 120 = 138, ihi −6/148 = 4,05%. Azegzaw, 12 d 100: 136, 5,41%. Anili, 20 d 75, d uwraɣ, 25 d 60: i sin 135, 6,08%. Rrehn ad yili war rrbeḥ war lexsara ala mi ara yaweḍ 3A + B ɣer 144.
Taḍsa i usgunfu

Zzhaṛ, tikarḍiwin neɣ takurt tis snat: ssuma tqqim d leḥsab.
Iɣbula
- Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette.
- Interblock. “Roulette Game & Special Bets: Description”, version 1.2.1.
- Wizard of Odds. “Neighborhoods”, “Richer Spin”, “Back2Back”, “Blazing 7s”, “Straights and 8’s” d “Lucky Colour Chips”.
- TCS John Huxley. “Richer Spin Roulette.”
- Wizard of Odds. “Spread-Bet Roulette” d “Lucky Symbols Roulette”.
- New Jersey Division of Gaming Enforcement. N.J.A.C. 13:69F-5.1 ar 5.4, “Spread-Bet Roulette”.
- Cammegh. “Spread-Bet Roulette” d “Lucky Symbols”.