Tistratijiyin n rrhun deg rulit · Tuṭṭfa · 7 tsd

Tuzzra n rrhun d usenqes n lxeṭṛ deg rulit

Ad terhenem mgal yiman-nwen akken ad «teṭṭfem» igmaḍ yettban-d mebla lxeṭṛ. D yiwen 2,70%-nni, yettwaxelṣen ɣef ugar n yijiṭunen.

Tiririt tawezlant

Asenqes n lxeṭṛ am uzeggaɣ d tgejdit tis kraḍ, snat n ddzinat d yilem, neɣ azeggaɣ d uberkan ibeddel abeṭṭu n tuzzya, maca weṛǧin azal-is yettwaṛǧan. Ma teṭṭfem ugar n wuṭṭunen, yettali ufmiḍi n rrbeḥ, yettṣubb lexlaṣ s yiwen wassaɣ swaswa.

EV n yal tasdukla
−1/37 n rrehn meṛṛa
azeggaɣ + aberkan
yettexsar ɣef yilem kan, ur yettrebbiḥ weṛǧin
tuṭṭfa n 37 meṛṛa
−1 n uferdis yal tikkelt (3 n ddzinat + ilem)
ayen ibeddel usenqes n lxeṭṛ
talɣa, mačči ssuma

Tikti n tstratijit n usenqes n lxeṭṛ deg rulit

Amurar yerhen ɣef uzeggaɣrrehnAzeggaɣRrehn s lexlaṣ imsawi ɣef 18 n wuṭṭunen izeggaɣen. S tefransist: rouge.Ɣer akk →, yettaggad uṭṭunen iberkanenrrehnAberkanRrehn s lexlaṣ imsawi ɣef 18 n wuṭṭunen iberkanen. S tefransist: noir.Ɣer akk → n tgejditrrehnTagejditTnac n wuṭṭunen deg yiwet n tgejdit tubdidt n tfelwit, ixelleṣ 2:1.Ɣer akk → tis kraḍ, ihi yerna ajiṭunidrimenAjiṭunTamatart i d-yemmalen azal yettwasbedden, yettwasersen ɣef tfelwit akken ad yili rrehn. Daɣen: check.Ɣer akk → dinna: tura 26 n wuṭṭunen ttaken kra n rrbeḥ. Wayeḍ yerhen ɣef snat n ddzinatrrehnDdzina1–12, 13–24 neɣ 25–36, ixelleṣ 2:1.Ɣer akk →, yerna ilemaḍebsiIlemTaxxamt 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 → am tḍamant. Wayeḍ, deg yiwen n umedya yettwassnen n wanaw-a, yerhen ɣef uzeggaɣ d uberkan akk. Yal tikli teṭṭef ugar n uḍebsi, tettban am akken tesneqqis lxeṭṛ. Deg unamek n tavaryanstusnaktTavaryansAktazal n wamek i d-ttwazzaren igmaḍ i tama n wazal yettwaṛǧan. Meqqret i rrehn ɣef yiwen wuṭṭun, meẓẓiyet i rrhun s lexlaṣ imsawi.Ɣer akk →, ih; deg unamek n lexsara yettwaṛǧantusnaktLexsara yettwaṛǧanAzal yettwaṛǧan seg tmerna n yidrimen yettwarhen; d alemmas n wayen yettwaxsar deg yiwet n tɣimit neɣ deg yiwen wakud.Ɣer akk →, d axelleṣ n rrehn wis sin.

Sin yifassen rehnen ɣef uzeggaɣ d uberkan akk, ma d afus nniḍen yerna ajiṭun ɣef yilem.

Leḥsab

Azalen yettwaṛǧantusnaktAzal yettwaṛǧanAlemmas n ugmuḍ n yal rrehn deg uɣawas aɣezfan. −1/37 n rrehn i yal rrehn amagnu awrupi.Ɣer akk → ttwarnan wa ɣer wa. Azeggaɣ d −1/37 n rrehn-is; ajiṭun n tgejdit d −1/37 n rrehn-is; s sin-nsen d −1/37 n rrehn meṛṛa. Asenqes n lxeṭṛ yesɣa afmiḍi n rrbeḥ yugaren d lexlaṣidrimenLexlaṣAyen i d-yettak rrehn i yerbḥen, yettwanna «X ɣef 1» nnig rrehn i d-yettuɣalen.Ɣer akk → ačuran yesṣubben i yal rrbeḥ, s wassaɣ n lḥeqq swaswa, kkes-as 2,70%. Afecku «Abennay n rrhun» yettḥessib akk 37 n yigmaḍ i yal tagrumma n yijiṭunen, yesskan-d abeṭṭu d EV (ur nettbeddil ara).

tasduklaadrim n rrehnp(rrbeḥ ačuran)tagnit tayfittagnit tadiryantEV
$10 ɣef uzeggaɣ$1048,6%+$10−$10−$0,27
$10 ɣef uzeggaɣ + $5 ɣef tgejdit 3$1554,1%+$15 (azeggaɣ deg tgejdit 3)−$15−$0,41
$10 ɣef snat n ddzinat + $1 ɣef yilem$2167,6%+$15 (ilem)−$21−$0,57
$10 ɣef uzeggaɣ + $10 ɣef uberkan$200%$0−$20 (ilem)−$0,54
$10 × 3 n ddzinat + $1 ɣef yilem$312,7% (ilem)+$5−$1−$0,84
Yal ajerriḍ d 2,70% n rrehn-is. Sin yijerriḍen ineggura sskanen-d asenqes n lxeṭṛ armi d taggara-s: axelleṣ akken weṛǧin ad terbḥem.

Azeggaɣ d uberkan

Tagnit n tilisa. Yal tuzzya, ala ilem, tettarra-d rrehn; ilem yessexsar-iten i sin. Azal yettwaṛǧan −2,70% n rrehn meṛṛa, ulac akk rrbeḥ i yezmren ad yili. D yiwet kan n tesdukla n rulit ur nesɛi ara anamek akk, maca tettwasers ugar n wayen i tɣilem, s waṭas sɣur win i yesneqqisen lxeṭṛ n unagraw-is deg tlemmast n tunnḍa.

Afmiḍi n rrbeḥ mgal lexlaṣ ačuran deg rrbeḥ, $30 n rrehn meṛṛa
yiwen wuṭṭun
2,7% · +$1 050
azeggaɣ
48,6% · +$30
snat n ddzinat
64,9% · +$15
azeggaɣ + tagejdit 3
56,8% · +$10–30
tuzzra James Bond
67,6% · +$12–24
kraḍ n ddzinat + ilem
97,3% · −$1
048,6597,3% · −$1
Ugar n tuṭṭfa, rrbeḥ s waṭas n tikkal, rrbeḥ meẓẓiyen. Ajerriḍ aneggaru «yettrebbiḥ» 97,3% n tuzzyiwin, yettexsar $1 yal tikkelt. Yal ajerriḍ yesɛa EV −$0,81.

Anagraw s yisem: Bohemia (1959)

Deg 1959, tasɣunt n Kuba Bohemia tessuffeɣ-d anagraw i d-yebder John Scarne ticki, sakin yessefsed-it s leḥsab: yiwen uferdisidrimenAferdisRrehn agejdan s wacu i yettxeddem unagraw neɣ amurar. Inagrawen n usnerni ttwaglamen s yiferdisen akken ad ilin i yal ṭṭabla.Ɣer akk → ɣef uberkan d yiwen ɣef tgejdit tis kraḍ, i yesɛan tam n wuṭṭunen izeggaɣen d ukkuẓ kan iberkanen (6, 15, 24, 33). Wid i t-yettzenzin wɛedden rrbeḥ n 4 n yiferdisen yal 38 n tuzzyiwin ɣef uḍebsi s sin yilmawen; ma yettwaḥseb s tidet, aḍebsi-nni yettak lexsara n 4. Ḥesbet igmaḍ ɣef uḍebsi awrupi. Uṭṭun aberkan deg tgejdit tis kraḍ yettrebbiḥ sin n rrhun, +3; azeggaɣ yettrebbiḥ tagejdit, yettexsar aberkan, +1; yal aberkan nniḍen yettrebbiḥ aberkan, yettexsar tagejdit, 0; mraw n yizeggaɣen nniḍen d yilem xesren sin, −2. Deg 37 n tuzzyiwin, aya d 12 + 8 + 0 − 22 = −2 n yiferdisen ɣef 74 yettwarhen, 2,70%, am yal tasdukla. Anagraw yettrebbiḥ neɣ ur yettrebbiḥ ur yettexsar deg 26 n tuzzyiwin seg 37, d ayagi i t-yerran yettban d aḥerci. Bollman (2024) yerna-d taferkit kraḍ-sin, 3 n yiferdisen ɣef uberkan d 2 ɣef tgejdit, s yiwet n ssuma.

takurt teɣli deguṭṭunenaberkan, 1 n uferdistagejdit 3, 1 n uferdisačuran
aberkan deg tgejdit 34+1+2+3
azeggaɣ deg tgejdit 38−1+2+1
aberkan nniḍen14+1−10
azeggaɣ nniḍen, neɣ 011−1−1−2
Aḍebsi awrupi. Alemmas i yal tuzzya: (4 × 3 + 8 × 1 + 14 × 0 − 11 × 2)/37 = −2/37 n uferdis, ɣef 2 n yiferdisen yettwarhen.

Asenqes n lxeṭṛ n unagraw n usnerni

Imuraren i yekcemen nezzeh deg MartingaletastratijitMartingaleAnagraw n usnerni i yessneggmen rrehn deffir yal lexsara. Walit taggayt n tstratijit i wayen i yettxemmem d wayen ur yettxemmim ara.Ɣer akk → tikkwal bḍan rrehn ameqqran gar uzeggaɣ d ddzina, neɣ rnan ilem, akken ad t-«ḥadren». Aḥadar-a yesqam 2,70% n wazal-is, yettbeddil anwi igmaḍ i d-yettarran ayen yexsren deg tunnḍa. Ur ibeddel ara taprubabilittusnaktTaprubabilitAzal n yiwen ugmuḍ ad d-yeḍru, seg 0 ɣer 1 neɣ seg 0% ɣer 100%. Yiwen wuṭṭun: 1/37 = 2,70%.Ɣer akk → ad tfakk tunnḍa s wudem n diri; ibeddel acḥal i diri, deg sin yidisan. Alugen n uḥbas yerxes ugar, yerna yeddu.

Mi ara yesqam ugar: anagraw n tigezmin n ukrupi

Ɣef uḍebsi s sin yilmawen, yiwet n tuṭṭfa tesqam ugar n tiyaḍ. Bollman (2021) yeglem-d anagraw i d-yessumer yiwen ukrupi n Las Vegas, yettwaxedmen i sin n yiḥricen n uḍebsi amarikani: tam n texxaminibenkanTaxxamtYiwet seg 37 n texxamin s wuṭṭunen ɣef uqerru yettezzin. Daɣen: slot, cup.Ɣer akk → 2, 0, 28, 9, 26, 30, 11, 7 d, zdat-sent, 1, 00, 27, 10, 25, 29, 12, 8. Ɣef uḍebsi-nni, sin yiḥricen-a ɣlin-d deg yiḥricen n tfelwitibenkanTafelwit n rrhunAẓeṭṭa n rrhun yettwarun ɣef ṭṭabla. Daɣen: ṭṭabla, tajellabt, aceṭṭiḍ.Ɣer akk →, ihi kraḍ n yijiṭunen ṭṭfen-ten: yiwen ɣef rrehn ɣef semmus n wuṭṭunen (0, 00, 1, 2, 3), yiwen ɣef sin yizirigenrrehnSin yizirigenSḍis n wuṭṭunen deg sin yijerriḍen yemyuḍanen, ixelleṣ 5:1. S tefransist: sixain.Ɣer akk → 7–12, yiwen ɣef sin yizirigen 25–30. D 17 n wuṭṭunen, sin yiḥricen d 3, s kraḍ n yijiṭunen. Ugur yella deg ujiṭun amezwaru. Tafelwit ur tesɛi ara rrehn ɣef 0, 00, 1 d 2 weḥd-sen, ma d rrehn ɣef semmus n wuṭṭunen d yiwen kan n rrehn amarikani s ssuma n 7,89% deg wadeg n 5,26%. Yessader talɣa meṛṛa ɣer −7/38 n uferdis ɣef 3 n yiferdisen yettwarhen, 6,14%. Ɣef ṭṭabla tamarikanit, yal tuṭṭfa ur nesɛi ara rrehn ɣef semmus n wuṭṭunen tesqam 5,26%; tagi tesqam ugar acku tesɛa-t.

takurt teɣli deguṭṭunenačuran, 3 n yijiṭunentaprubabilit
sin yizirigen12+331,58%
rrehn ɣef semmus n wuṭṭunen5+413,16%
anda-nniḍen21−355,26%
azal yettwaṛǧan−0,184 n yiferdisen6,14% n rrehn
Aḍebsi amarikani. Sin yizirigen xellṣen 5 ɣef 1, rrehn ɣef semmus n wuṭṭunen 6 ɣef 1.

Yezmer ukrupi ad d-yessuffeɣ uṭṭun i yebɣa? LexrafaRulit tamarikanit: aḍebsi d yilugan

Melmi i yesɛa anamek tuṭṭfa

Mi ara tebɣum talɣa-nni: afmiḍi n rrbeḥ ɛlayen i tɣimit tazegrart, ihedden, s tmusni belli ssuma ur tettbeddil ara. Tuzzra James Bond d urar ɣef snat n ddzinat d tiferkiwin n tidet n tuzzra n rrhun deg rulit. Taferkit n tikerkas d yal adlis amecṭuḥ yeqqaren belli talɣa n tuṭṭfa «ur tettexsar ara»; leḥsab yeqqar yal talɣa tettexsar 2,70% n wayen i terhen.

Isteqsiyen

Tella tesdukla i yugaren 2,70%?

Ala rrhun s lexlaṣ imsawirrehnRrehn s lexlaṣ imsawiAzeggaɣ/aberkan, aryan/uyug, afellay/adday. 18 n wuṭṭunen, ixelleṣ 1:1.Ɣer akk → ɣef ṭṭabla tafransist, s 1,35%. Ma ternam-asen rrhun nniḍen, lmaziyya imxelḍen tettali.

Tuṭṭfa tesneqqis tavaryans?

Ih. D ayen i d-tettaɣ, d ayen kan.

Acimi lkazinu tqebbel azeggaɣ d uberkan akk?

D sin n rrhun s EV −2,70% yal yiwen. Lkazinu tefreḥ aṭas.

Taḍsa i usgunfu

Tuṭṭfa tbeddel talɣa. Ssuma tella ɣef yal ajiṭun.

Tuṭṭfa tbeddel talɣa. Ssuma tella ɣef yal ajiṭun.

Iɣbula

  1. RouletteDoc. Tamuɣli tamatut ɣef tistratijiyin n rulit. https://roulettedoc.com/strategy
  2. Roulette77. Tamuɣli tamatut ɣef tistratijiyin n rulit. https://roulette77.us/strategies
  3. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Ixef 13, rulit.
  4. Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette. CRC Press, 2021. Ixef 2, rulit.
  5. Bollman, M. Basic Gambling Mathematics: The Numbers Behind the Neon, 2nd ed. CRC Press, 2024.
  6. Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed. Academic Press, 2013.
  7. Scarne, J. Scarne’s Complete Guide to Gambling. Simon & Schuster, 1961.
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