Teɣzi n tɣimit d ssuma-ines
Acḥal i yeṭṭul ugerruj s udrim yettwasbedden n rrehn, d wacḥal i kellfent tsaɛtin. Imḍanen ur ttḥasaben ara tugget n yimuraren, yerna ilaq ad ten-ḥasben.
Rrehn ur nettbeddil s lexlaṣ imsawi yeṭṭul, s ulemmas, 37 n tuzzyiwin i yal adrim n rrehn deg ugerruj, ɣas akken azgen n tɣimiyin akk fukkent uqbel; ssuma yettwaṛǧan i tsaɛett d adrim × tuzzyiwin i tsaɛett / 37. Sin yid-sen ttaǧǧan-awen ad tesbeddem ssuma n tmeddit uqbel ad tebdu.
Acḥal i yeṭṭul ugerruj
S ugerrujidrimenAgerrujAkk idrimen yettwaǧǧan i wurar. Asefrek n ugerruj d tagrut: acḥal seg-s ara tesrem i yal rrehn d yal taɣimit.Ɣer akk → B d udrim n rrehn ur nettbeddil s lexlaṣ imsawi s, agerruj yettṣubbu s s/37 i tuzzya s ulemmas, yettneggiz s qrib s i tuzzya ɣer yal tama. Aṣubbu s yiman-is i yesbadun alemmas: agerruj yeṭṭul 37 × B/s n tuzzyiwin, acku d akud-a i ilaqen akken ad yexser B s s/37 i tuzzya. Tineggzin rrent teɣzi ur temsawa ara. Kra n tɣimiyin mmutent zik deg wazrar n diri, kra ṭṭulent aṭas ugar, yerna azal n tlemmast, teɣzi ur ttaweḍent ara azgen n tɣimiyin akk, yella ddaw ulemmas. Agerruj n $500 s $10 (B/s = 50) yeṭṭul 1 850 n tuzzyiwin s ulemmas d 1 364 s wazal n tlemmast, qrib 27 n tsaɛtin ɣef ṭṭabla srid. S $50 (B/s = 10) azal n tlemmast d 136 n tuzzyiwin, ddaw kraḍ n tsaɛtin.
Ayen i kellfent tsaɛtin
Lexsara yettwaṛǧantusnaktLexsara yettwaṛǧanAzal yettwaṛǧan seg tmerna n yidrimen yettwarhen; d alemmas n wayen yettwaxsar deg yiwet n tɣimit neɣ deg yiwen wakud.Ɣer akk → i tsaɛett = adrim × tuzzyiwin i tsaɛett / 37. Sin n yimḍanen i teṭṭfem d adrim n rrehn d tazrit. Amurar n $10 s 50 n tuzzyiwin deg tsaɛett ixelleṣ $13,51 i tsaɛett ɣef ṭṭabla tawrupit, $6,76 ɣef ṭṭabla tafransist, $27 ɣef ṭṭabla tazrit. Fernet acḥal i tesɛa wazal tsaɛett n rulit ɣur-wen, adrim n rrehn ad d-yeḍfer.
Asemlili-nsen
Amurar s $500 i yebɣan tameddit n ukkuẓ n tsaɛtin ɣef ṭṭabla srid n 50 n tuzzyiwin (200 n tuzzyiwin), ur yebɣi ara ad yexser kullec, ur ilaq ara ad yerhen ugar n qrib $25 (B/s = 20, azal n tlemmast n uɣelluy 394 n tuzzyiwin). Ssuma yettwaṛǧan n tmeddit d 200 × $25 / 37 = $135. Ma yella $135 d aṭas, adrim yettṣubbu, tameddit tettuɣal teɛqel ugar, terxes ugar, s yiwet n tikkelt: s $10, ssuma yettwaṛǧan $54, aɣelluy uqbel 200 n tuzzyiwin d qlil.
- p10 −$500
- p25 −$500
- azal n tlemmast −$500
- p75 −$50
- p90 +$350
Tiɣimiyin ɣef yiwen wuṭṭun
I yiwen wuṭṭunrrehnYiwen wuṭṭunYiwen wuṭṭun kan, ixelleṣ 35:1.Ɣer akk → adrim n rrehn ilaq ad yili d amecṭuḥ ugar i yiwet n teɣzi n teɣimit: σ i yal aferdisidrimenAferdisRrehn agejdan s wacu i yettxeddem unagraw neɣ amurar. Inagrawen n usnerni ttwaglamen s yiferdisen akken ad ilin i yal ṭṭabla.Ɣer akk → d 5,84 mgal qrib 1 i uzeggaɣrrehnAzeggaɣRrehn s lexlaṣ imsawi ɣef 18 n wuṭṭunen izeggaɣen. S tefransist: rouge.Ɣer akk →, ihi agerruj ilaq ad yeṭṭef tallitin tiɣezfanin war tuṭṭfa. Azal n tlemmast n 200 n tuzzyiwin yesra B/s n qrib 13 ɣef uzeggaɣ d qrib 56 ɣef yiwen wuṭṭun, qrib ukkuẓ n tikkal ugar n yidrimen n rrehn. Agerruj n $500 ara yeṭṭulen 200 n tuzzyiwin ɣef yiwen wuṭṭun s wazal n tlemmast yesra adrim qrib $9. Imuraren i yettrehinen $25 ɣef yiwen wuṭṭun seg $500 ttaɣen tameddit tawezlant, s ṣṣut: ɛecrin n tikkal ur yeṭṭif ara yeṭṭafaren ad tt-fakkent, yerna ayagi yeḍṛu ugar n wazgen n wakud.
Umuɣ n ssuma n tidet
Rulit tettkellif adrim × tuzzyiwin / 37. Ayen nniḍen akk, anagraw, uṭṭun n zzher, asenqes n lxeṭṛ, yettfru udem n tmeddit, mačči ssuma-s. Amurar i yeḥsben ssuma uqbel, yefren adrim i yebɣa ad t-ixelleṣ s lferḥ, yexdem aḥric kan n tastratijit i yeteddun.
Tasemselt
Isteqsiyen
Mačči s tidet. I ugerruj amecṭuḥ tineggzin i yɣelben, azal n tlemmast yettnerni qrib am (B/s)², am uṣurdi imsawi. I win meqqren lmaziyya i yɣelben, azal n tlemmast yettqarrab ɣer ulemmas, 37 × B/s. Deg qrib 20 n yidrimen n rrehn, alugen (B/s)² yemṣada d wazal n tlemmast n tidet, 394 n tuzzyiwin; ddaw-s yettqeṣṣir, nnig-s yettɛeddi.
Tḥedd ayen n diri akk, tessqeṣṣir taɣimit, ayen yessenqasen lexsara yettwaṛǧan s tfesna n tuzzyiwin ur nettwurar ara.
Tebḍa ssuma i tsaɛett ɣef sin ɣef rrhun s lexlaṣ imsawirrehnRrehn s lexlaṣ imsawiAzeggaɣ/aberkan, aryan/uyug, afellay/adday. 18 n wuṭṭunen, ixelleṣ 1:1.Ɣer akk →, tessnernay s sin alemmas n wakud alamma d aɣelluy, ɣer 74 × B/s n tuzzyiwin.
Urar s tusnakt
Ɛerḍet-tent s yiman-nwen qbel. Yal tifrat tettwaffer; ldit-tt mi ara tilim twejdem.
Trehnem $500 ɣef uzeggaɣrrehnAzeggaɣRrehn s lexlaṣ imsawi ɣef 18 n wuṭṭunen izeggaɣen. S tefransist: rouge.Ɣer akk →, $10 yal tikkelt, ɣef uḍebsi awrupi, war alugen n uḥbas. S ulemmas, acḥal n tuzzyiwin i yettdum ugerrujidrimenAgerrujAkk idrimen yettwaǧǧan i wurar. Asefrek n ugerruj d tagrut: acḥal seg-s ara tesrem i yal rrehn d yal taɣimit.Ɣer akk →?
Sken-d tifrat
Tiririt 1 850 n tuzzyiwin: 37 n tuzzyiwin i yal yiwen seg 50 n rrhun.
Yal tuzzya tetteklif, s ulemmas, 1/37 n rrehn: $10/37, qrib 27 n ssentim. Agerruj yesɛa 50 n rrhun, u lexsara n 50 n rrhun s 1/37 n rrehn i yal tuzzya tesra 50 × 37 = 1 850 n tuzzyiwin.
Ahuzzu ur ibeddel ara alemmas-a, acku taɣimit tezmer ad tekfu ɣer yilem kan u yal tuzzya qbel aya tetteklif 27-nni n ssentim s ulemmas. Ibeddel abeṭṭu: azgen n tɣimiyin meṛṛa kfant ɣer tuzzya 1 364, u qrib yiwet seg ɛecrin tɛedda 5 000, ayen yessalayen alemmas.
Epstein (2013) yefka-d alugen amatu: mgal lkazinu ur yettfakkan ara yedrimen-is, agerruj n z n rrhun yettdum z yettwabḍan ɣef lmaziyya n yal tuzzya. Ɣef uḍebsi amarikani, anda lexlaṣ imsawi yexser 1/19 n rrehn i yal tuzzya, $500-nni yettdum 950 n tuzzyiwin s ulemmas.
Taḍsa i usgunfu
Adrim × tuzzyiwin / 37. Sbeddet ssuma n tmeddit uqbel ad tebdu.
Iɣbula
- Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1.
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed.