Masvomhu eRoulette · Dambudziko remasvomhu · maminitsi 7

Dambudziko: Kusvikira Zero Yabuda

Q: Zero inowanzobuda pamamwe mavhiri here?

Kwete pavhiri rakaenzana. Pavhiri rinotsauka gomba ripi neripi ringadaro, uye zvaizotora kutenderera kwezviuru kuzviziva.

Zero inobuda kutenderera kumwe pa37 paavhareji. Munomirira kwenguva yakareba sei chaizvo, uye izvozvo zvinoitei kumubheji wemubhadharo wakaenzana?

Mhinduro pfupi

Kumirira zero kuri geometric: avhareji kutenderera 37, median 25, uye kumirira kumwe pamakumi maviri kunopfuura kutenderera 110. Musesheni yekutenderera 200 mubheji wemubhadharo wakaenzana anotarisira mazero 5.4 uye achaona chero kubva pa1 kusvika pa10.

avhareji yekumirira

kutenderera 37

median yekumirira

kutenderera 25

p(hapana zero mukutenderera 100)

6.5%

mazero mukutenderera 200

5.4 ± 2.3

Dambudziko

ZerovhiriZeroGomba rimwe chete rakasvibira risingafukidzwi nebheti remubhadharo wakaenzana, redozeni kana rekoramu; ndiko kunobva chikamu chekasino. Mamwe mazita: zero imwe, 0.Verengai zvese → ine mukanamasvomhuMukanaMukana wemhedzisiro, kubva pa0 kusvika pa1 kana 0% kusvika 100%. Nhamba imwe: 1/37 = 2.70%.Verengai zvese → we1/37 pakutenderera. (a) Mukana wekusava nezero mukutenderera 37 kunotevera ndeupi? (b) Median yekumirira ndeipi? (c) Musesheni yemubhadharo wakaenzana yekutenderera 200, mutambi anofanira kutarisira mazero mangani, uye huwandu hwacho hwakaita sei?

Mhinduro

(a) (36/37)³⁷ = 36.3%. Kupfuura chikamu chimwe pazvitatu chenguva, kutenderera 37 kunopfuura pasina zero zvachose, iwo masvomhu akafanana neekuti “kubata kamwe chete zvishoma pastraight upbhetiStraight upNhamba imwe chete, rinobhadhara 35:1.Verengai zvese → mukutenderera 37” kuri 63.7% chete. (b) Kumirira W kuri geometric; p(W > k) = (36/37)ᵏ; median i k apo izvi zvinoyambuka 0.5, iri k ≈ 25. Hafu yekumirira ikutenderera 25 kana kupfupi uye hafu kurefu; avhareji ye37 inokwidzwa nemuswe murefu. (c) Mazero mukutenderera 200 ari binomial ine avhareji 200/37 = 5.4 nestandard deviationmasvomhuStandard deviationMudzi wesikweya wemusiyano; chinhambwe chakajairwa chemhedzisiro kubva pakukosha kunotarisirwa.Verengai zvese → √(200 × (1/37) × (36/37)) ≈ 2.3. Huwandu hwe95% hunenge 1 kusvika 10.

kumirira zeromukana

mukati mekutenderera 1024.0%

mukati mekutenderera 2549.6%

mukati mekutenderera 3763.7%

mukati mekutenderera 5074.6%

mukati mekutenderera 10093.5%

kupfuura kutenderera 110≈ 5%

kupfuura kutenderera 2000.4%

p(W ≤ k) = 1 − (36/37)ᵏ. Avhareji 37, median 25.

Zvinodhurwa nezero kumubheji wemubhadharo wakaenzana

Zero imwe neimwe inodhura mari yakabhejwa imwe, uye mazero ndiwo chikamu chekasino chose patsvukubhetiTsvukuBheti remubhadharo wakaenzana panhamba 18 tsvuku. ChiFrench: rouge.Verengai zvese →: pakutenderera 37 kwepaavhareji kukunda 18 nekurasikirwa 18 zvinodzimana, uye zero imwe ndiyo −1/37. Musesheni yekutenderera 200 pa$10, mazero 5.4 anotarisirwa anodhura $54, iri chaizvo 200 × $10 / 37. Sesheni ine mazero 2 yakava nerombo rakanaka re$34; sesheni ine mazero 9 yakava nerombo rakaipa re$36, uye ichanzwika seyakabiridzirwa. Patafura ine la partagemutemoLa partageMutemo wechiFrench: kana zero yabuda, hafu yemari yakabhejwa pabheti remubhadharo wakaenzana inodzoserwa. Inoita hafu chikamu chekasino pamabheti iwayo kusvika pa1.35%.Verengai zvese → zero imwe neimwe inodhura hafu yemari yakabhejwa uye nhamba dzinova hafu.

Mazero musesheni yekutenderera 200% yemasesheni

0–1

2.5%

2–3

18%

4–5

34%

6–7

28%

8–9

13%

10 kana kupfuura

4.5%

% yemasesheni

01734%

Binomial(200, 1/37). Mubheji we$10 patsvuku anobhadhara $10 pazero rimwe nerimwe; kupararira kwemazero ndiko kupararira kwemutengo wemanheru.

Mutemo weLa Partage weRoulette Ko Roulette yeOnline Yakabiridzirwa? Ngano

Rinotevera

Mukana wemazero maviri akatevedzana ndeupi? (1/37)² = 1/1,369. Mukasino ine matafura 20 anotenderera ka50 paawa, ndiyo inenge peya imwe yemazero akatevedzana kumwe kunhu maawa 1.4 ega ega. Vatambi vanozviona vanoti vhiri rakaputsika; masvomhu anoti iChipiri chete.

Edzai

Simulator yeSesheni yeRoulette inoverenga mazero pasesheni imwe neimwe. Mhanyisai kutenderera 100 kakawanda mozodhirowa huwandu: histogram iri pamusoro ichaoneka, nemuswe wayo murefu kurudyi. Muswe ndiko kunobva nyaya.

Fomula

p(W > k) = (36/37)ᵏ

E[W] = 37 · median ≈ 25

mazero mukutenderera N ~ Binomial(N, 1/37)

Mibvunzo

Zero inowanzobuda pamamwe mavhiri here?

Kwete pavhiri rakaenzana. Pavhiri rinotsaukaongororoVhiri rinotsaukaVhiri rine zvikanganiso zvemuviri zvinoita kuti mamwe makomba ave nemukana unopfuura 1/37. Hazviwanzoitika, uye zvinoonekwa chete nekutenderera kwezviuru kwakanyorwa.Verengai zvese → gombamidziyoGombaImwe yemakamuri 37 ane nhamba parotor. Mamwe mazita: slot, cup.Verengai zvese → ripi neripi ringadaro, uye zvaizotora kutenderera kwezviuru kuzviziva.

Ndinofanira kugara ndichiisa chipi pazero seinishuwarenzi here?

Ibheti re2.70% sezvimwe zvese. Rinochinja chimiro chesesheni (zero inova kukunda) kwete mutengo.

Sei median iri pasi peavhareji?

Nekuti kuparadzirwa kwekumirira kwakarembera: kumirira kupfupi kwakawanda, kushoma kurefu kwazvo.

Kuseka zvishoma

$Avhareji 37, median 25, nemuswe murefu panogara ngano.$

Avhareji 37, median 25, nemuswe murefu panogara ngano.

Zvinyorwa

Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, 3rd ed., 1968. Gambler’s ruin, chitsauko XIV.
Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Chitsauko 13, Roulette.

yakaongororwa 2026-09-28modhi: yeEurope, zero imwemaitiro ↗zvinyorwa ↗