Beti ya ndune kana njirũ
Rureti-inĩ, ndune kana njirũ ĩhumbagĩra namba ikũmi na inyanya cia rangi ũmwe: nĩyo beti ya marĩhi maigana ĩrĩa ĩtaragwo nayo.

Namba ikũmi na inyanya, ĩrĩhaga 1:1. Mweke 48.65%, ti 50%: thero nĩyo ũtiganu.
Kũrĩa ĩigagwo
Mabokisi ma rangi ndunebetiNduneBeti ya marĩhi maigana ya namba 18 ndune. Kĩbaranja: rouge.Thoma wothe → na njirũbetiNjirũBeti ya marĩhi maigana ya namba 18 njirũ. Kĩbaranja: noir.Thoma wothe → thĩinĩ wa beti cia njabetiBeti ya njaBeti igũrũ rĩa tũrũthingo tũrĩa twarigiicĩirie kĩhari: dazeni, koramu na beti cia marĩhi maigana.Thoma wothe →, kana ciugo rouge na noir ramani-inĩ ya methaindoRamani ya methaKĩhari kĩa beti kĩrĩa kĩcabĩtwo metha-inĩ. Ningĩ metagwo: metha, gĩtambaya.Thoma wothe → ya Ũbaranja. O ĩmwe no nginya ĩkinyie mũhaka wa thĩ wa metha. Namba ndune: 1 3 5 7 9 12 14 16 18 19 21 23 25 27 30 32 34 36. Njirũ: icio ingĩ ikũmi na inyanya. TherogĩthiũrũrũkiTheroKanyũmba kamwe ka rangi wa matu karĩa gatahumbagĩrwo nĩ beti o na ĩmwe ya marĩhi maigana, ya dazeni kana ya koramu; nĩkĩo kĩrehi kĩa uumithio wa kasino. Ningĩ: thero ĩmwe, 0.Thoma wothe → nĩ ya rangi wa matu na ndĩrĩ ya mwena o na ũmwe.
Marĩhi na mweke wa kũhoota rureti-inĩ harĩ ndune kana njirũ
Marĩhi ma kĩhooto ma 18 thĩinĩ wa 37 nĩ 1.056 kwa 1; metha ĩrĩhaga 1. Beti ya rureti ya $10 harĩ ndune ĩngĩhoota ĩgũcookia $10. Kũringana na gatagatĩ mĩthiũrũrũko-inĩ 37: ũhootani 18 (+$180), hasara 18 (−$180), thero ĩmwe (−$10). Hasara ya −$10 harĩ $370.
Mĩhari ya mĩico
Ndune na njirũ ithiĩrĩrĩnaga ĩmwe ĩmwe gĩthiũrũrũki-inĩ no ti ihinda-inĩ. Ndune ikũmi ithiĩrĩrĩnĩte irĩ na mwekehithabuMwekeMweke wa mũico, kuuma 0 nginya 1 kana 0% nginya 100%. Namba ĩmwe: 1/37 = 2.70%.Thoma wothe → wa (18/37)¹⁰ = 0.074%, ta rĩmwe harĩ mĩhari 1,350 ya mĩthiũrũrũko ikũmi; kasino-inĩ ĩrĩ na metha mĩrongo ĩĩrĩ irathiũrũrũkia maita 50 o thaa, ũndũ ũcio ũkoragwo handũ mĩthenya mĩingĩ. Gũtirĩ ũndũ ũguo ũkiugaga ũhoro wa mũthiũrũrũko wa ikũmi na ũmwe, ũrĩa ũrĩ na 18/37 ya ndune o ta mĩthiũrũrũko yothe mbere yaguo.
Nĩ kĩĩ gĩtũmaga mĩtaratara ĩikare haha
Ndune/njirũ nĩkuo metha ĩkuhĩrĩirie gũikia mbeca rũhuhi, na nĩkĩo ĩtuĩkaga kĩhumo kĩa mĩgarũrĩro ya betimũbangoMũgarũrĩro wa betiWatho o wothe ũgarũraga mbeca cia beti kũringana na mĩico ĩrĩa ĩhĩtũkĩte. Mĩgarũrĩro ya hasara ĩmĩambararagia thutha wa hasara, ya ũhootani thutha wa ũhootani.Thoma wothe →: MartingalemũbangoMartingaleMũgarũrĩro wa beti ũrĩa ũingĩhagia beti maita meerĩ thutha wa o hasara. Rora gĩcunjĩ kĩa Mĩbango wone ũrĩa ũrutaga na ũrĩa ũtarutaga.Thoma wothe →, D’Alembert, FibonaccimũbangoFibonacciMũgarũrĩro wa beti ũrĩa ũrũmagĩrĩra mũhari 1, 1, 2, 3, 5, 8, 13…: kĩgerero kĩmwe mbere thutha wa hasara, igerero igĩrĩ thutha thutha wa ũhootani.Thoma wothe →, LabouchèremũbangoLabouchèreMũtaratara wa kũhuria: andĩka mũhari wa namba, beti mũigana wa namba cia mĩthia yerĩ, ũcihurie thutha wa ũhootani, wongerere mbeca cia beti iria ciathira thutha wa hasara.Thoma wothe → na ParolimũbangoParoliMũgarũrĩro wa beti wa ũhootani: ingĩhia maita meerĩ thutha wa ũhootani, cooka kĩambĩrĩria thutha wa hasara kana thutha wa ũhootani ithatũ ũrũmanĩrĩire. Ningĩ: Martingale ya kũgarũrũka.Thoma wothe → ciothe ciĩciragia beti ya marĩhi maiganabetiBeti ya marĩhi maiganaNdune/njirũ, itagayanĩka/igayanĩka, nene/nini. Namba 18, marĩhi 1:1.Thoma wothe →. O ũmwe wacio ũrĩ na hasara ĩrĩa yetagĩrĩrwohithabuHasara ĩrĩa yetagĩrĩrwoThogora ũrĩa wetagĩrĩrwo ũingĩhĩtio na mbeca ciothe iria ciabetirwo; mbeca iria ithiraga kũringana na gatagatĩ ihinda-inĩ rĩa mũthako kana ihinda rĩngĩ.Thoma wothe → ya 2.70% ya mbeca ciothe cia betimbecaMbeca ciothe cia betiMbeca ciothe iria ciabetirwo ihinda-inĩ rĩa mũthako kana ihinda rĩngĩ, hamwe na mbeca cia ũhootani iria ciabetirwo rĩngĩ. Ningĩ metagwo: handle, action.Thoma wothe → beti-inĩ ĩno, 1.35% metha-inĩ ya la partagewathoLa partageWatho wa Ũbaranja: thero yoka, nuthu ya mbeca cia beti ya marĩhi maigana nĩ ĩcookagio. Ũnyihagia uumithio wa kasino beti-inĩ icio nginya nuthu, 1.35%.Thoma wothe →. Kurasa cia mĩbango ionanagia ũrĩa o ũmwe ũgarũraga mũhianĩre wa ihinda rĩa mũthako.
- p10 −$420
- p25 −$280
- gatagatĩ ka mũhari −$140
- p75 +$20
- p90 +$140
Mawatho ma Ũbaranja
Na la partage kana en prisonwathoEn prisonWatho wa Ũbaranja: thero yoka, beti ya marĩhi maigana ĩgirĩrio nginya mũthiũrũrũko ũrĩa ũrũmĩrĩire handũ ha kũhootwo. Ũnyihagia uumithio wa kasino beti-inĩ icio nginya nuthu.Thoma wothe → uumithio wa beti ĩno ũnyihaga nuthu ũgatuĩka 1.35%. Ũcio nĩguo ũhoro ũrĩa wa bata mũno karatathi-inĩ gaka: angĩkorwo ũkũbeti ndune, caria metha ya Ũbaranja.

Mũhari wa 1913
Mũthenya wa 18 Mwerĩ wa Kanana 1913 kũu Monte Carlo, njirũ yoimire maita 26 ithiĩrĩrĩnĩte. Athaki nĩ maingĩrire metha kuuma hakuhĩ njirũ ya ikũmi na ithano, makĩbeti ndune tondũ “nĩ yagĩrĩire kuuma”, na makĩũrwo nĩ milioni nyingĩ cia faranga. Mweke wa njirũ 26 nĩ (18/37)²⁶, ta ũmwe thĩinĩ wa milioni 137; mweke atĩ mũndũ, handũ, nĩ angĩkaamĩona thutha-inĩ warĩ ũmwe.
Ciũria
Aca. O ĩmwe nĩ 18.
Ndune, na ũtiganu mũnini, ũthuthuria-inĩ mũingĩ ũrĩa ũcabithĩtio wa mĩtugo ya metha. Ndũgarũraga kĩndũ.
Ĩĩ, biũ. Ramani-inĩ ya metha ionekaga ihurunjũkĩte tondũ ramani ĩyo ĩrĩ mũtaratara-inĩ wa gũtara.
Gĩa gũtheka

Gĩthiũrũrũki gĩtirĩ na kĩririkano. Athaki marĩ nakĩo mũno.
Kũrĩa ũhoro uumĩte
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1.
- Schwartz, D. G. Roll the Bones: The History of Gambling.