Xisaabta Roulette · Fikrad aasaasi ah · 8 daqiiqo

Itimaalka Roulette

Itimaal kasta oo roulette ah waa tirada godadka oo loo qaybiyay 37.

Jawaab gaaban

p = lambarrada la daboolay / 37. Hal lambar: 2.70%. Siddeed iyo toban: 48.65%. Itimaalka taxane gaar ah wuxuu ku dhufanayaa itimaallada hal wareeg.

hal lambar
1/37 · 2.70%
dersin
12/37 · 32.43%
lacag isle'eg
18/37 · 48.65%
laba casaan
23.67%

Hal wareeg

Mid kasta oo ka mid ah 37-ka godqalabGodMid ka mid ah 37-ka qol ee lambarrada leh ee rotor-ka. Sidoo kale: slot, cup.Akhri dhammaan → waa isku itimaal, sidaa darteed fursadaha guusha roulette-ka ee hal wareeg waa arrin tirin ah. Sharad afar lambar ah wuxuu guuleystaa 4/37 marar, qiyaastii 10.8%. ItimaalkaxisaabItimaalFursadda natiijo, 0 ilaa 1 ama 0% ilaa 100%. Hal lambar: 1/37 = 2.70%.Akhri dhammaan → hal wareeg intaas wax ka badan kuma jiraan, waana sababta ciyaarta oo dhan loogu falanqeyn karo warqad yar.

Itimaalka guusha, sharad kasta% wareegyada
Hal lambar (1)
2.70%
Split (2)
5.41%
Street (3)
8.11%
Corner (4)
10.81%
Six line (6)
16.22%
Dersin / tiir (12)
32.43%
Lacag isle'eg (18)
48.65%
% wareegyada
024.3248.65%
Sharad kasta waa lambarrada la daboolay oo loo qaybiyay 37. Lacag-bixintu way yaraataa marka daboolku kordho, si qiimaha la filayo uu ugu ahaado isla −2.70% saf kasta.

Wareegyo badan

Wareegyadu waa madaxbannaan yihiin, sidaa darteed itimaallada taxane way isku dhufanayaan. Laba casaansharadCasaanSharad lacag isle'eg ah oo ku saabsan 18-ka lambar ee casaanka ah. Faransiis: rouge.Akhri dhammaan → oo isku xiga: (18/37)² = 23.7%. Casaan kadibna ebergiraangirEberHal godka cagaaran ee aan daboolin sharad lacag isle'eg ah, dersin ama tiir; isha faa'iidada kasiinada. Sidoo kale: single zero, 0.Akhri dhammaan →: (18/37)(1/37) = 1.3%. Toddoba iyo toban laba jeer oo isku xiga: (1/37)² = 0.073%, qiyaastii hal mar 1,369-kii. Kala horreyntu waxay muhiim u tahay taxane gaar ah, mana aha tirin: “casaan kadibna madowsharadMadowSharad lacag isle'eg ah oo ku saabsan 18-ka lambar ee madow. Faransiis: noir.Akhri dhammaan →” waa 25.0% laakiin “hal casaan iyo hal madow laba wareeg gudahood, si kasta ha u kala horreeyaan” waa 50.0%.

Wareegyada Roulette ee Madaxbannaan

Ugu yaraan hal mar

Isticmaal dhammaystiraha. Fursadda in hal lambarsharadHal lambarHal lambar oo keliya, wuxuu bixiyaa 35:1.Akhri dhammaan → aanu soo bixin 37 wareeg gudahood waa (36/37)³⁷ = 36.3%, sidaa darteed fursadda ugu yaraan hal soo bax waa 63.7%, ma aha “hubaashii” ay ciyaartoy badani ka filayaan 37 fursadood oo mid kastaa tahay 1 ka mid ah 37. Isla xisaabtaas waxay sheegaysaa in lambar uu leeyahay qiyaastii fursad 1 ka mid ah 3 inaanu gabi ahaanba soo bixin 37 wareeg gudahood, taasina waa sababta looxa natiijooyinku had iyo jeer u muujiyo dhowr lambar oo “qabow”.

wareegyop(soo bax la'aan, hal lambar)p(ugu yaraan hal soo bax)
1076.0%24.0%
3736.3%63.7%
7413.2%86.8%
1006.5%93.5%
1501.7%98.3%
2000.4%99.6%
(36/37)ⁿ iyo 1 − (36/37)ⁿ. Xitaa 100 wareeg kadib, hal lambar shan iyo tobankiiba mid weli ma soo bixin.

Natiijooyinka Roulette: Akhriska Looxa

Muddada sugitaanka la filayo

Celcelis ahaan lambar hal lambar ah wuxuu soo baxaa hal mar 37-kii wareegba, laakiin sugitaanku aad buu u kala duwan yahay: sugitaanka dhexe waa qiyaastii 25 wareeg (kala badh marka wuu ka soo dhaqsadaa) halkii sugitaan labaatankiiba midna wuxuu dhaafaa 110 wareeg. Muddooyinka sugitaanka ee habka joometeriga ahi waxay leeyihiin dabo dheer, ciyaartoyga “og” in lambar uu waqtigiisii yimid 60 wareeg kadibna wuxuu sharxayaa wax dhaca hal mar shantiiba.

Khuraafaad: Lambarradu Waqtigoodii Waa La Gaaray

Khaladaadka caadiga ah

Isku darka itimaallada dhacdooyin labaduba dhici karaan (casaan ama kisi ma aha 36/37; waa 26/37, sababtoo ah toban lambar labadaba way yihiin). Isku dhufashada dhacdooyin isla wareeg ah (casaan iyo kisi hal wareeg waa 10/37, ma aha 18/37 × 18/37). Ka dhigashada wareegyadii hore qayb ka mid ah taxanaha aad hadda ku sharadsanayso: toban casaan kadib, fursadda kow iyo tobnaad waa 18/37, ma aha (18/37)¹¹.

Waa maxay odds-ka roulette-ka, sideese bay uga duwan yihiin itimaalka?

Kasiinooyinku waxay lacag-bixintalacagLacag-bixinWaxa sharad guuleystay soo celiyo, oo lagu sheego “X ilaa 1” oo lagu daro sharadka la soo celiyay.Akhri dhammaan → u sheegaan sida odds. Hal lambar wuxuu ku guuleystaa itimaal 1/37, sidaa darteed odds-ka guusha roulette-ka ee hal lambar waa 36 ilaa 1 ka soo horjeeda. Lacag-bixin 35 ilaa 1 ah sidaas darteed waxay ka yar tahay hal unuglacagUnugSharadka saldhigga ah ee nidaam ama ciyaartoy ku shaqeeyo. Kordhinnada waxaa lagu sharxaa unugyo si ay ugu shaqeeyaan miis kasta.Akhri dhammaan →, taasina waa faa'iidada kasiinadaxisaabFaa'iidada kasiinadaQaybta sharad kasta ee kasiinadu celcelis ahaan hayso: 2.70% roulette Yurub.Akhri dhammaan → qaabkeedii asalka ahaa. Beddelka: odds ka soo horjeeda = (1 − p)/p; itimaal = 1/(odds + 1).

Qaacido

p(sharad) = n / 37
p(A kadibna B) = p(A) · p(B)
p(ugu yaraan hal mar k gudahood) = 1 − (1 − p)ᵏ
odds ka soo horjeeda = (1 − p) / p

Su'aalo

Waa maxay itimaalka eber laba jeer oo isku xiga?

(1/37)² = 1/1369 ≈ 0.073%.

Waa maxay fursadda casaan ama madow?

36/37 = 97.3%. Eberku waa inta hartay.

Ma 17 baa ah lambarka ugu badan ee soo baxa?

Dhammaan 37-ku waa 1/37. Toddoba iyo toban waa lambarka ugu badan ee lagu sharadsado, taasina waa xaqiiq ku saabsan dadka.

Madadaalo Xisaabeed

Marka hore adigu isku day. Xal kasta waa qarsoon yahay; fur marka aad diyaar u tahay.

  1. Waxaad sharadsataa casaansharadCasaanSharad lacag isle'eg ah oo ku saabsan 18-ka lambar ee casaanka ah. Faransiis: rouge.Akhri dhammaan →, wareeg kadib wareeg. Waa maxay fursadda in guushaada shanaad ay timaado si sax ah wareegga siddeedaad? Iyo inaad haysato shan guul siddeedda wareeg ee ugu horreeya gudahood?

    Muuji xalka

    Jawaab 12.9%, qiyaastii 1 8-diiba, guusha shanaad wareegga siddeedaad. 33.4% shan guul ilaa markaas.

    Guusha shanaad wareegga siddeedaad macnaheedu waa laba arrimood: wareegga siddeedaad wuu guulaystaa, toddobada wareeg ee hore waxay hayaan si sax ah afar guul iyo saddex khasaare, siday doonaan ha u kala horreeyeen. Waxaa jira 35 hab oo afar guul loogu kala dhigo toddoba wareeg.

    Sidaa darteed fursaddu waa 35 × (18/37)⁵ × (19/37)³ = 35 × 0.02725 × 0.1354 = 12.9%.

    Shan guul ilaa wareegga siddeedaad, ku dar isla nooca xubinta guusha shanaad wareegyada shan, lix iyo toddoba: 2.7% + 7.0% + 10.8% + 12.9% = 33.4%. Xisaabyahannada tirakoobku waxay tan ugu yeeraan qaybinta binomial-ka taban: imisa isku day ayuu qaataa tiro go'an oo guulo ah. Taylor (2021) wuxuu isla su'aashan ku xalliyaa giraangir Mareykan ah, 12.2%.

Kaftan yar

Tiri godadka. U qaybi 37. Isku dhufo taxanayaasha. Dhammaatay.

Tiri godadka. U qaybi 37. Isku dhufo taxanayaasha. Dhammaatay.

Ilaha

  1. Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, daabacaadda 3aad, 1968. Gambler’s ruin, cutubka XIV.
  2. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Cutubka 13, roulette.
  3. Taylor, D. G. Games, Gambling, and Probability: An Introduction to Mathematics, 2nd ed. CRC Press, 2021.
la eegay 2026-09-28model: Yurub, hal eberhabka shaqada ↗ilaha ↗