Vuto: Madazeni Awiri ndi Chipi Chimodzi

Vuto

Mubetcha $10 pa dazenibetchaDazeni1–12, 13–24 kapena 25–36, amalipira 2:1.Werengani yonse → loyamba, $10 pa dazeni lachiwiri ndi $1 pa zirogudumuZiroKabowo kamodzi kobiriwira kamene betcha la even-money, dazeni kapena mzati siliphimba; gwero la phindu la kasino. Imatchedwanso: ziro imodzi, 0.Werengani yonse →. (a) Kodi zotsatira zotheka ndi kuthekera kwake ndi zotani? (b) Kodi mtengo woyembekezekamasamuMtengo woyembekezekaZotsatira zapakati pa betcha lililonse pa nthawi yayitali. −1/37 ya ndalama zobetcha pa betcha lililonse la ku Ulaya wamba.Werengani yonse → ndi wotani? (c) Kodi chipindalamaChipiChizindikiro choimira ndalama yokhazikika, choikidwa pa dongosolo la mabetcha kuti mupange betcha. Chimatchedwanso: check.Werengani yonse → cha ziro chimakonza betcha?

Yankho (a) ndi (b)

Zotsatira: mpirazipangizoMpiraMpira waung’ono umene umaponyedwa mu njira motsutsana ndi rotor. Mipira yamakono ndi ya ivorine kapena Teflon, 18–21 mm.Werengani yonse → mu 1–24 (tibowozipangizoKabowoChimodzi mwa tibowo 37 tokhala ndi manambala pa rotor. Kamatchedwanso: slot, cup.Werengani yonse → 24): dazeni limodzi limalipira $20, linalo limataya $10, ziro imataya $1: phindu +$9. Mpira mu 25–36 (tibowo 12): madazeni onse awiri amataya, ziro imataya: −$21. Mpira pa ziro (kabowo 1): madazeni amataya $20, ziro imalipira $35: +$15. EV = (24 × 9 + 1 × 15 − 12 × 21)/37 = (216 + 15 − 252)/37 = −21/37 ≈ −$0.57 pa kuzungulira pa $21 zobetchedwa: 2.70%.

Yankho (c)

Popanda chipi cha ziro: (24 × 10 − 13 × 20)/37 = (240 − 260)/37 = −20/37 ≈ −$0.54 pa $20 zobetchedwa, nawonso 2.70%. Chipi cha ziro chasandutsa zotsatira za ziro za −$20 kukhala +$15 (kukonzeka kwa $35 kamodzi pa 37, kofunika $0.95 pa kuzungulira) ndipo chadula $1 pa kuzungulira kwina 36 (kofunika $0.97 pa kuzungulira). Kusintha konse: −$0.03 pa kuzungulira, zimene ndi 2.70% ya dola yowonjezerayo. Inshuwalansi ili ndi mtengo wofanana ndendende ndi china chilichonse.

N’chifukwa chiyani zimagwira ntchito paliponse

Mitengo yoyembekezeka imaphatikizana. Gulu lililonse la mabetcha a nthawi imodzi lili ndi EV yofanana ndi kuphatikiza kwa ma EV a zigawo zake, chilichonse chili −1/37 ya ndalama zobetcha zake. Choncho kuphatikiza kulikonse ndi −1/37 ya ndalama zonse zobetcha. Palibe kayalidwe ka machipi pa dongosolo la mabetchazipangizoDongosolo la mabetchaGridi yosindikizidwa yobetchera pa tebulo. Imatchedwanso: tebulo, felt, nsalu.Werengani yonse →, ngakhale ochuluka bwanji, kamene kangapewe zimenezi; chida cha Chopangira Mabetcha chidzatsimikiza zimenezi pa gulu lililonse limene mungaike. Chimene kuphatikiza kumasintha ndi kagawidwe: kuti mumapambana kangati, zingati, ndi mmene zoipa kwambiri zilili zoipa.

Funso lotsatira lovuta

Pezani kuphatikiza kwa mabetcha okhazikika kumene kumaphimba manambala onse 37. Madazeni atatu ($10 iliyonse) kuphatikiza $1 pa ziro: iliyonse ya 1–36 imapereka −$1 (dazeni limodzi limalipira $20, ena awiri amataya $20, ziro imataya $1), ndipo ziro imapereka +$35 − $30 = +$5. EV = (36 × (−1) + 5)/37 = −31/37 pa $31 zobetchedwa: 2.70%. Mungathe kutsimikiza kuti simudzadabwa konse, ndipo mumalipirabe mtengo womwewo pa mwayi umenewo.

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