Tusnakt n rulit · Aseqdec · 7 tsd

Lexsara yettwaṛǧan

Azal yettwaṛǧan yettwasgten s wayen akk i terehnem: ayen i tettkellif teɣimit s ulemmas.

Tiririt tawezlant

Lexsara yettwaṛǧan = amḍan n rrhun meṛṛa × 1/37. Adrim n rrehn $10, 100 n tuzzyiwin: $1 000 yettwarehnen, $27 n lexsara yettwaṛǧan. Inagrawen n usnerni ttrehinen ugar, ihi ttxesren ugar.

i yal $1 yettwarehnen
$0,027
$10 × 100 n tuzzyiwin
$27
$10 × 50/sr
$13,50 / tasaɛett
i useggas, yal ddurt
≈ $700

Amḍan n rrhun meṛṛa, mačči agerruj

Lexsara yettwaṛǧantusnaktLexsara yettwaṛǧanAzal yettwaṛǧan seg tmerna n yidrimen yettwarhen; d alemmas n wayen yettwaxsar deg yiwet n tɣimit neɣ deg yiwen wakud.Ɣer akk → teqqen ɣer wacḥal i yettɛeddin ɣef ṭṭabla, mačči ɣer wacḥal i d-tewwim. AgerrujidrimenAgerrujAkk idrimen yettwaǧǧan i wurar. Asefrek n ugerruj d tagrut: acḥal seg-s ara tesrem i yal rrehn d yal taɣimit.Ɣer akk → n $100 yettwarehnen aṭas n tikkal yezmer ad yawi $2 000 n umḍan n rrhun meṛṛaidrimenAmḍan n rrhun meṛṛaTamerna n yidrimen yettwarhen deg yiwet n tɣimit neɣ deg yiwen wakud, s rrbeḥ i yettuɣalen yettwarhen. Daɣen: handle, action.Ɣer akk → d $54 n lexsara yettwaṛǧan; agerruj n $10 000 yettwarehnen yiwet n tikkelt ɣef uzeggaɣrrehnAzeggaɣRrehn s lexlaṣ imsawi ɣef 18 n wuṭṭunen izeggaɣen. S tefransist: rouge.Ɣer akk → yettawi $10 000 n umḍan n rrhun meṛṛa d $270. Idrimen i d-ikeččmen ɣer lkazinu d tabzert ɣef usikel, yerna asikel d yal ajiṭunidrimenAjiṭunTamatart i d-yemmalen azal yettwasbedden, yettwasersen ɣef tfelwit akken ad yili rrehn. Daɣen: check.Ɣer akk → deg yal tuzzya.

Tasemselt

E[lexsara] = Σ rrhun / 37. I umurar s rrehn ur nettbeddil, d adrim × tuzzyiwin / 37. I unagraw n usnernitastratijitAnagraw n usnerniYal alugen i yettbeddilen rrehn ɣef leḥsab n yigmaḍ yezrin. Asnerni deffir lexsara yessali-t deffir lexsara, asnerni deffir rrbeḥ deffir rrbeḥ.Ɣer akk →, d alemmas n udrim × tuzzyiwin / 37, yerna alemmas n udrim yugar rrehn n tazwara, acku rrhun ttalin deg tallitin n lexsara. MartingaletastratijitMartingaleAnagraw n usnerni i yessneggmen rrehn deffir yal lexsara. Walit taggayt n tstratijit i wayen i yettxemmem d wayen ur yettxemmim ara.Ɣer akk → seg $10 n tazwara s talast n $500 tesɛa alemmas n qrib $28 i tuzzya deg teɣimit taɣezfant, ihi texser qrib kraḍ n tikkal ugar n rrehn ur nettbeddil n $10, war ma tbeddel taprubabilit n yal rrehn.

uraralemmas n udrimyettwarehnen deg 100 n tuzzyiwinlexsara yettwaṛǧan
$10 ur nettbeddil$10$1 000$27
D’Alembert, $10 n tazwara≈ $14≈ $1 400≈ $38
Fibonacci, $10 n tazwara≈ $17≈ $1 700≈ $45
Martingale, $10 n tazwara, talast n $500≈ $28≈ $2 800≈ $75
$10 ur nettbeddil, ṭṭabla s la partage$10$1 000$13,50
Ilemmasen yettwasimulin. Lmaziyya i yal adular d 2,70% deg yal ajerriḍ ala deg uneggaru.

Tastratijit n rrehn ur nettbeddil

Tazrit

Ṭṭwabel srid ttxeddment 40–60 n tuzzyiwin deg tsaɛett, tizeqqawin n lkazinu 30–50, ṭṭwabel tizrit 90 neɣ ugar, ṭṭwabel RNG s tɣawla n usiti-nwen. S yiwen udrim n rrehn, tazrit d nettat i yettḥazen ugar akk lexsara yettwaṛǧan i tsaɛett: abeddel seg ṭṭabla tasmaẓayt n tzeqqa ɣer ṭṭabla RNG s 200 n tuzzyiwin deg tsaɛett yessgutut ssuma n tmeddit s ukkuẓ war ma tbeddel taprubabilit.

Lexsara yettwaṛǧan i tsaɛett s $10 i tuzzya$ i tsaɛett
Tazeqqa n lkazinu · 40/sr
$10,81
Ṭṭabla srid · 55/sr
$14,86
Srid tazrit · 100/sr
$27,03
RNG · 200/sr
$54,05
$ i tsaɛett
027,03$54,05
adrim × tuzzyiwin i tsaɛett / 37. Tazrit d nettat i yettḥazen ugar akk ssuma n tsaɛett.

Rulit srid d rulit RNG

Deg useggas

Amurar n yal ass i yetturaren snat n tsaɛtin deg ddurt s $10 ɣef ṭṭabla srid n 50 n tuzzyiwin yewweḍ amḍan n rrhun meṛṛa n $52 000 deg useggas, ixelleṣ qrib $1 400 n lexsara yettwaṛǧan ɣef uḍebsi awrupi, $700 ɣef wafransis, $2 700 ɣef umarikani. Leḥsab d asemmaḍ, tagrayt mačči d tasemmaḍt: afran n uḍebsi d ṭṭabla yugar yal anagraw s usgut n war taggara, acku inagrawen azal-nsen d 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 → s timmad-is.

Lexsara yettwaṛǧan i useggas: 2 sr/ddurt, $10 i tuzzya, 50 n tuzzyiwin/sr$
Tafransist (lexlaṣ imsawi)
$702
Tawrupit
$1 405
Tamarikanit
$2 737
Ṭṭabla tazrit, tawrupit, 100/sr
$2 811
$
01405,50$2 811

Urar yugaren yal lbanka

Urar n St. Petersburg, i d-yessumer Nicolaus Bernoulli deg 1713, yeḍeqqer aṣurdi alamma yeɣli ɣef uqerru, ixelleṣ $2 ma yella yiwen uḍeqqer, $4 ma sin, $8 ma kraḍ, s sin yal tikkelt. Yal teɣzi tettarnu $1 i wazal yettwaṛǧantusnaktAzal yettwaṛǧanAlemmas n ugmuḍ n yal rrehn deg uɣawas aɣezfan. −1/37 n rrehn i yal rrehn amagnu awrupi.Ɣer akk →, ihi ɣef lkaɣeḍ urar yesɛa azal war taggara. Ulac lbanka i yezmren ad txelleṣ arraz war taggara, yerna mi ara ttwaḥeddden warraz ɣer wayen i tesɛa lbanka, azal yeɣli: s lbanka n $1 n umelyun urar yesɛa azal n qrib $21, s $1 n umelyar qrib $31. Martingale d yiwen wurar yettwalan seg tama nniḍen. Tettarbaḥ yiwen uferdisidrimenAferdisRrehn agejdan s wacu i yettxeddem unagraw neɣ amurar. Inagrawen n usnerni ttwaglamen s yiferdisen akken ad ilin i yal ṭṭabla.Ɣer akk → qrib deg yal tunnḍa, tettxesser kullec deg wazrar aɣezfan yettwafen qlil; war talast, izrar iɣezfanen ad ttwaxellṣen s yirbaḥen yettimɣuren, s talast ur ttwaxellṣen ara, d ayɣer talast n ṭṭablaṭṭablaTalast n ṭṭablaRrehn adday d rrehn afellay i yettwasirgen. Talast tafellayt d ayen i yeḥebsen inagrawen n usnegmu.Ɣer akk → tettfru amek ara terreẓ Martingale, mačči ma ad terreẓ.

lbanka tezmer ad txelleṣ alamma dssuma n lḥeqq n wurar
$100$7,56
$10 000$14,22
$1 n umelyun$20,91
$1 n umelyar$30,86
Ssuma n lḥeqq d lexlaṣ yettwaṛǧan mi ara yettwaxelleṣ yal arraz yugaren lbanka am lbanka akk.
Urar n St. Petersburg: azal war taggara ɣef lkaɣeḍ, qrib $21 mi ara tesɛu lbanka $1 n umelyun.

Tilisa n ṭṭabla n rulit

Lexsara yettwaṛǧan mačči d agmuḍ

Yal taɣimit ad temgarad ɣef lexsara-s yettwaṛǧan, s waṭas s wugar n lexsara yettwaṛǧan s timmad-is. Deg 100 n tuzzyiwin s lexlaṣ imsawi s $10, abeɛɛed alugantusnaktAbeɛɛed aluganAẓar amkuẓ n tavaryans; ameccaq n umata gar ugmuḍ d wazal yettwaṛǧan.Ɣer akk → d $100 mgal −$27 yettwaṛǧan; taɣimit n rrbeḥ ur tesweḥcay ara. Lexsara yettwaṛǧan d ssuma; 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 → d akemmus; agmuḍ deg yiwen yiḍ d tagrumma n yiwen.

Tasemselt

E[lexsara] = Σ rrhun / 37
E[lexsara i tsaɛett] = adrim × tuzzyiwin i tsaɛett / 37

Isteqsiyen

Lkazinu tettawi 2,70% n usɣi-inu n yijiṭunen?

Ala. 2,70% n wayen akk i terehnem. Mi ara terhnem irbaḥen tikkelt nniḍen, ad ttwarehnen tikkelt nniḍen.

Adrim amecṭuḥ yal tikkelt yerxes ugar?

I tsaɛett, ih, s yiwet n tazrit. I yal iswi yettwaweḍ, ala: walit lxeṭṛ n uɣelluytusnaktLxeṭṛ n uɣelluyTaprubabilit n uxsar n ugerruj meṛṛa send ad tawḍem iswi neɣ amḍan n tuzzyiwin.Ɣer akk →.

Amek teddunt tlelliyin n lkazinu?

Lkazinu ttqedrent lexsara-nwen yettwaṛǧan seg ulemmas n rrehn d wakud n wurar, ttarrent amur seg-s am tlelliyin. Ttarrent amur seg ssuma, ur awen-ttakent ara lmaziyya.

Taḍsa i usgunfu

Amḍan n rrhun meṛṛa × 1/37. Tamrilt tella deg tsemselt.

Amḍan n rrhun meṛṛa × 1/37. Tamrilt tella deg tsemselt.

Iɣbula

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Ixef 13, rulit.
  2. Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed. Academic Press, 2013.
  3. Taylor, D. G. Games, Gambling, and Probability: An Introduction to Mathematics, 2nd ed. CRC Press, 2021.
yettwasenqed 2026-09-28tamudemt: tawrupit, yiwen yilemtarrayt ↗iɣbula ↗