Izibalo ze-roulette · Ingxaki yezibalo · imizuzu eyi-7

Ingxaki: iidazini ezimbini netshiphu

Iidazini ezimbini zigubungela amanani angama-24. Yongeza itshiphu kwiqanda kwaye ugubungela angama-25. Ingaba i-inshorensi iyahlawula?

Impendulo emfutshane

Hayi. Inxalenye nganye ingu-−2.70% webheji yayo, ngoko indibaniselwano ingu-−2.70% yesixa esipheleleyo. Ingxaki isebenza ngesizathu, ibala usasazo oluchanekileyo, kwaye ibonise okutshintshayo (imo) nokungatshintshiyo (ixabiso).

iidazini ezimbini
24/37 · inzuzo +1 okanye −2
kunye neqanda
25/37 kugubungelwe
I-EV ngeyunithi
−1/37 nokuba kunjani
isifundo
ii-EV ziyadityaniswa

Ingxaki

Ubheja i-$10 kwi-daziniibhejiIdazini1–12, 13–24 okanye 25–36, ihlawula u-2:1.Funda yonke → yokuqala, i-$10 kwidazini yesibini kunye ne-$1 kwiqandaiviliIqandaIsikhewu esinye esiluhlaza esingagubungelwa yibheji yemali elinganayo, yedazini okanye yekholamu; umthombo wenzuzo yekhasino. Kwakhona: iqanda elinye, 0.Funda yonke →. (a) Ziziphi iziphumo ezinokwenzeka namathuba azo? (b) Yintoni ixabiso elilindelekileyoizibaloIxabiso elilindelekileyoIsiphumo esiphakathi kwibheji nganye ekuhambeni kwexesha elide. −1/37 yebheji kuyo yonke ibheji eqhelekileyo yaseYurophu.Funda yonke →? (c) Ingaba itshiphuimaliItshiphuUphawu olumele isixa esimiselweyo, olubekwa kwibhodi yokubheja ukwenza ibheji. Kwakhona: check.Funda yonke → yeqanda iyayiphucula ibheji?

Isisombululo (a) no-(b)

Iziphumo: ibholaizixhoboIbholaIbhola encinci ephoswa emzileni ngokuchasene nerotha. Iibhola zanamhlanje zenziwe nge-ivorine okanye nge-Teflon, zi-18–21 mm.Funda yonke → ku-1–24 (izikhewuizixhoboIsikhewuEsinye sezikhewu ezingama-37 ezinamanani kwirotha. Kwakhona: slot, cup.Funda yonke → ezingama-24): idazini enye ihlawula i-$20, enye ilahlekelwa yi-$10, iqanda lilahlekelwa yi-$1: inzuzo +$9. Ibhola ku-25–36 (izikhewu ezili-12): zombini iidazini ziyalahlekelwa, iqanda liyalahlekelwa: −$21. Ibhola kwiqanda (isikhewu esi-1): iidazini zilahlekelwa yi-$20, iqanda lihlawula i-$35: +$15. EV = (24 × 9 + 1 × 15 − 12 × 21)/37 = (216 + 15 − 252)/37 = −21/37 ≈ −$0.57 ngomjikelo kwi-$21 ebhejiweyo: 2.70%.

isiphumoizikhewuamathubaisiphumo
1–242464.9%+$9
25–361232.4%−$21
012.7%+$15
okulindelekileyo−$0.57 = 2.70% ye-$21

Isisombululo (c)

Ngaphandle kwetshiphu yeqanda: (24 × 10 − 13 × 20)/37 = (240 − 260)/37 = −20/37 ≈ −$0.54 kwi-$20 ebhejiweyo, nayo i-2.70%. Itshiphu yeqanda iguqule isiphumo seqanda se-−$20 saba ngu-+$15 (uphuculo lwe-$35 kanye kwi-37, oluxabisa i-$0.95 ngomjikelo) kwaye yabiza i-$1 kweminye imijikelo engama-36 (exabisa i-$0.97 ngomjikelo). Utshintsho lwenzuzo: −$0.03 ngomjikelo, eyi-2.70% yedola eyongezelelweyo. I-inshorensi inexabiso elifana ncam nayo yonke enye into.

Kutheni oku kusebenza ngokubanzi

Amaxabiso alindelekileyo ayadityaniswa. Naliphi na iqela leebheji ezenziwa ngaxeshanye line-EV elingana nesixa see-EV zeenxalenye, nganye ingu-−1/37 webheji yayo. Ngoko nayiphi na indibaniselwano ingu-−1/37 wesixa esipheleleyo sebheji. Akukho lungiselelo lweetshiphu kwi-bhodi yokubhejaizixhoboIbhodi yokubhejaIgridi yokubheja eshicilelwe etafileni. Kwakhona: itafile, ilaphu.Funda yonke →, nokuba zininzi kangakanani, olusindayo kule nto; isixhobo soMakhi weebheji siya kuyiqinisekisa kulo naliphi na iqela onokulibeka. Into etshintshwa ziindibaniselwano lusasazo: uphumelela kangaphi, malini, nokuba imeko embi kakhulu imbi kangakanani.

I-$21 efanayo ngeendlela ezintathu: amathuba okuphumelela nemeko embi kakhulu
$21 kobomvu: p(ukuphumelela)
48.6% · embi kakhulu −$21
iidazini ezimbini + iqanda: p(ukuphumelela)
67.6% · embi kakhulu −$21
$21 ku-17: p(ukuphumelela)
2.7% · embi kakhulu −$21
033.8067.6% · embi kakhulu −$21
Zontathu zine-EV ye-−$0.57 ngomjikelo. Zahluka kuphela ngemo.

Okulandelayo okunzima ngakumbi

Fumana indibaniselwano yeebheji eziqhelekileyo egubungela onke amanani angama-37. Iidazini ezintathu ($10 nganye) kunye ne-$1 kwiqanda: naliphi na ku-1–36 linika −$1 (idazini enye ihlawula i-$20, ezinye ezimbini zilahlekelwa yi-$20, iqanda lilahlekelwa yi-$1), kwaye iqanda linika +$35 − $30 = +$5. EV = (36 × (−1) + 5)/37 = −31/37 kwi-$31 ebhejiweyo: 2.70%. Ungaqinisekisa ukuba awusoze umangaliswe, kwaye usahlawula ixabiso elifanayo ngelo lungelo.

Ifomula

EV(indibaniselwano) = Σ EV(iinxalenye) = −(isixa esipheleleyo sebheji)/37

Imibuzo

Ingaba ikhona indibaniselwano yeebheji enenzuzo yekhasino ephantsi?

Hayi, kwitafile yaseYurophu. Kwitafile yaseFransi, iibheji zemali elinganayoibhejiIbheji yemali elinganayoObomvu/omnyama, angalinganiyo/alinganayo, aphezulu/aphantsi. Amanani ali-18, ihlawula u-1:1.Funda yonke → zodwa zi-1.35%; ukongeza nantoni na enye kunyusa inzuzo exutyiweyo.

Kuthekani ngokubheja kokubini obomvu nomnyama?

Ulahlekelwa yi-$1 nge-$1 kwiqanda kuphela, awuphumeleli nto kungenjalo. I-EV −2.70% ngaphandle kwenzuzo: ekuphela kwendibaniselwano engenanjongo kwaphela.

Ngoko kutheni udibanisa iibheji kwaphela?

Ukukhetha imo yeseshoni oyonwabelayo. Eso sisizathu esisemthethweni kwaye kuphela kwaso.

Uncumo

I-inshorensi kwitafile ye-roulette ibiza kanye oko ikugcinayo.

I-inshorensi kwitafile ye-roulette ibiza kanye oko ikugcinayo.

Imithombo

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Isahluko 13, i-roulette.
ihlolwe ngo-2026-09-28imodeli: yaseYurophu, iqanda elinyeindlela yokusebenza ↗imithombo ↗