Hithabu cia rureti · Ũhoro wa gũcaria · ndagĩka 5

Mbaũ ya marĩhi na mweke wa rureti

O beti ya kawaida na mweke wayo, marĩhi mayo, thogora ũrĩa wetagĩrĩrwohithabuThogora ũrĩa wetagĩrĩrwoMũico wa gatagatĩ wa o beti ĩmwe ihinda-inĩ iraya. −1/37 ya mbeca cia beti o beti ya kawaida ya rureti ya Rũraya.Thoma wothe → na ũtiganu wa kawaida.

Macokio ma ihenya

Beti ciothe irĩ na thogora ũmwe ũrĩa wetagĩrĩrwo, −2.70% ya mbeca cia beti. Ihĩtanĩte o mweke-inĩ na ũtiganu-inĩ.

beti iria ciandĩkĩtwo
9
EV, beti ciothe
−2.70%
mũhaka wa σ
1.00 nginya 5.84
beti cia kwĩra mũgai
o nacio 2.70%

Ũrĩa ũngĩthoma metha ĩno ya mweke wa rureti

MwekehithabuMwekeMweke wa mũico, kuuma 0 nginya 1 kana 0% nginya 100%. Namba ĩmwe: 1/37 = 2.70%.Thoma wothe → ũkwĩraga ũrĩa ũhootaga kaingĩ; marĩhimbecaMarĩhiKĩrĩa beti ĩhootanĩte ĩcookagia, ĩgwetagwo “X kwa 1” makĩria ma mbeca cia beti iria icookagio.Thoma wothe →, marĩa moigagwo ta mweke wa rureti, makwĩraga ũrĩa ũhootaga mũigana; σ ĩgũkwĩra ũrĩa rũgendo rũrĩ na mĩtumbĩ. Mũhari wa EV nĩ ũmwe harĩ o mũhari wa metha nĩ ũndũ wa ũrĩa ĩakĩtwo, nĩ ũndũ ũcio metha ĩno nĩ ta orodha ya ũgarũrũkuhithabuŨgarũrũkuGĩthimi kĩa ũrĩa mĩico ĩhurunjũkaga ĩrigiicĩirie thogora ũrĩa wetagĩrĩrwo. Nĩ mũnene harĩ beti ya namba ĩmwe, mũnini harĩ beti cia marĩhi maigana.Thoma wothe → wa mĩthemba mĩingĩ ũrĩ na thogora ũmwe.

betiĩhumbĩrĩtep(kũhoota)marĩhiσ o $1
Namba ĩmwe1/372.70%35:15.84
Namba igĩrĩ2/375.41%17:14.09
Mũhari3/378.11%11:13.28
Kona4/3710.81%8:12.84
Mĩhari ĩĩrĩ6/3716.22%5:12.23
Dazeni12/3732.43%2:11.39
Koramu12/3732.43%2:11.39
Marĩhi maigana18/3748.65%1:11.00
EV nĩ −$0.027 o $1 harĩ o mũhari.

Beti cia kwĩra mũgai

Beti cia icunjĩgĩthiũrũrũkiGĩcunjĩ kĩa gĩthiũrũrũkiRũhande rũrũmanĩte rwa tũnyũmba gĩthiũrũrũki-inĩ, ti gĩkundi kĩa namba ramani-inĩ ya metha.Thoma wothe → nĩ ngwatanio cia beti cia kawaida na igakĩnyiita uumithio wacio. O ĩmwe ĩrĩ na mũhianĩre wayo wa marĩhi tondũ cipumbecaCipuKĩndũ kĩonanagia mbeca ciathimĩtwo, kĩigagwo ramani-inĩ ya metha nĩguo ũbeti. Ningĩ: check.Thoma wothe → itigayanĩtio na kĩhooto.

beti ya kwĩra mũgaicipuĩhumbĩrĩtep(kũhoota o na ĩmwe)baita ũgĩhoota (ithimo)EV o gĩthimo
Atũũranĩri (5)55/3713.51%+31−2.70%
Jeu zéro47/3718.92%+14 kana +32−2.70%
Orphelins58/3721.62%+13 kana +31−2.70%
Tiers du cylindre612/3732.43%+12−2.70%
Voisins du zéro917/3745.95%+9 kana +15−2.70%

Thogora ũrĩa wetagĩrĩrwo wa beti cia kwĩra mũgai

Mĩthiũrũrũko-inĩ mĩingĩ

Mweke wa kũhoota o na rĩmwe mĩthiũrũrũko-inĩ k, harĩ ciũria nini cia kawaida.

betimĩthiũrũrũko-inĩ 10mĩthiũrũrũko-inĩ 37mĩthiũrũrũko-inĩ 100
Namba ĩmwe24.0%63.7%93.5%
Namba igĩrĩ42.6%87.1%99.6%
Kona68.1%98.6%> 99.9%
Dazeni98.0%> 99.9%> 99.9%
Thero (yo nyene)24.0%63.7%93.5%
1 − (1 − p)ᵏ.

Ũtiganu wa mahinda ma mũthako

Ũtiganu wa kawaidahithabuŨtiganu wa kawaidaMũri wa ũgarũrũku; ũraihu wa kawaida wa mũico kuuma thogora ũrĩa wetagĩrĩrwo.Thoma wothe → wa ihinda rĩa mũthako rĩa mĩthiũrũrũko 100 na beti cia mũigana ũmwe cia $10, kũringana na beti, na mũico ũrĩa wetagĩrĩrwo ũrĩa ũmwe wa −$27.

σ ya mĩthiũrũrũko 100 na $10$
Namba ĩmwe
$584
Namba igĩrĩ
$409
Mũhari
$328
Kona
$284
Mĩhari ĩĩrĩ
$223
Dazeni / koramu
$139
Marĩhi maigana
$100
$
0292$584

Ciũria

Nĩkĩ EV nĩ ĩmwe harĩ o mũhari?

Tondũ o marĩhi nĩ 36/n − 1 handũ ha marĩhi ma kĩhooto ma 37/n − 1. Thoma karatathi ka uumithio wa kasinohithabuUumithio wa kasinoGĩcunjĩ kĩa o mbeca cia beti kĩrĩa kasino ĩigaga kũringana na gatagatĩ: 2.70% rureti-inĩ ya Rũraya.Thoma wothe →.

La partage ĩrĩ ha?

Beti cia marĩhi maiganabetiBeti ya marĩhi maiganaNdune/njirũ, itagayanĩka/igayanĩka, nene/nini. Namba 18, marĩhi 1:1.Thoma wothe → metha-inĩ ya Ũbaranja: p na marĩhi itigarũrũkaga, EV −1.35%, σ ≈ 0.99.

Nĩ kũrĩ metha ya gĩthiũrũrũki kĩa Amerika?

Gayania na 38 handũ ha 37, na mũhari wa EV ũgatuĩka −5.26% harĩ o mũhari wa metha, −7.89% harĩ beti ya namba ithano.

Gĩa gũtheka

Beti kenda, thogora ũmwe ũrĩa wetagĩrĩrwo, gũtirĩ kĩririkano.

Beti kenda, thogora ũmwe ũrĩa wetagĩrĩrwo, gũtirĩ kĩririkano.

Kũrĩa ũhoro uumĩte

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Gĩcunjĩ 13, rureti.
rĩarorirwo rĩngĩ 2026-09-28mũhiano: rureti ya Rũraya, thero ĩmwenjĩra ya wĩra ↗kũrĩa ũhoro uumĩte ↗