Xisaabta Roulette · Masalo xisaabeed · 7 daqiiqo

Masalo: Laba Dersin iyo Chip

Laba dersin waxay daboolaan 24 lambar. Ku dar chip eberka waxaad daboolaysaa 25. Caymisku ma bixiyaa?

Jawaab gaaban

Maya. Qayb kastaa waa −2.70% sharadkeeda, sidaas darteed isku-darku waa −2.70% wadarta. Masaladu waxay sharraxaysaa sababta, waxay xisaabisaa qaybinta saxda ah, waxayna muujinaysaa waxa isbeddela (qaabka) iyo waxa aan isbeddelin (qiimaha).

laba dersin
24/37 · saafi +1 ama −2
iyo eber
25/37 la daboolay
EV unugkii
−1/37 si kasta
cashar
EV-yadu way isku darmaan

Masalada

Waxaad sharadsataa $10 dersinkasharadDersin1–12, 13–24 ama 25–36, wuxuu bixiyaa 2:1.Akhri dhammaan → koowaad, $10 dersinka labaad iyo $1 eberkagiraangirEberHal godka cagaaran ee aan daboolin sharad lacag isle'eg ah, dersin ama tiir; isha faa'iidada kasiinada. Sidoo kale: single zero, 0.Akhri dhammaan →. (a) Waa maxay natiijooyinka suurtagalka ah iyo itimaalkooda? (b) Waa maxay qiimaha la filayoxisaabQiimaha la filayoCelceliska natiijada sharad kasta muddada dheer. −1/37 ee sharadka sharad kasta oo Yurub caadi ah.Akhri dhammaan →? (c) Chip-kalacagChipCalaamad u taagan qadar go'an, oo la dul dhigo shaxda sharadka si sharad loo sameeyo. Sidoo kale: check.Akhri dhammaan → eberku ma hagaajiyaa sharadka?

Xalka (a) iyo (b)

Natiijooyinka: kubbaddaqalabKubbadKubbadda yar ee lagu tuuro jidka iyada oo ka soo horjeedda rotor-ka. Kubbadaha casriga ah waa ivorine ama Teflon, 18–21 mm.Akhri dhammaan → 1–24 (24 godqalabGodMid ka mid ah 37-ka qol ee lambarrada leh ee rotor-ka. Sidoo kale: slot, cup.Akhri dhammaan →): hal dersin wuxuu bixiyaa $20, kan kale wuxuu khasaaraa $10, eberku wuxuu khasaaraa $1: saafi +$9. Kubbadda 25–36 (12 god): labada dersinba way khasaaraan, eberkuna wuu khasaaraa: −$21. Kubbadda eberka (1 god): dersinnadu waxay khasaaraan $20, eberku wuxuu bixiyaa $35: +$15. EV = (24 × 9 + 1 × 15 − 12 × 21)/37 = (216 + 15 − 252)/37 = −21/37 ≈ −$0.57 wareeggii $21 oo la sharadsaday: 2.70%.

natiijogodaditimaalnatiijada
1–242464.9%+$9
25–361232.4%−$21
012.7%+$15
la filayo−$0.57 = 2.70% $21

Xalka (c)

Chip-ka eberka la'aantiis: (24 × 10 − 13 × 20)/37 = (240 − 260)/37 = −20/37 ≈ −$0.54 $20 oo la sharadsaday, sidoo kale 2.70%. Chip-ka eberku wuxuu natiijada eberka ee −$20 u beddelay +$15 (horumar $35 ah hal jeer 37 kiiba, oo u dhiganta $0.95 wareeggii) wuxuuna ku kacay $1 36-ka wareeg ee kale (oo u dhiganta $0.97 wareeggii). Isbeddelka saafiga ah: −$0.03 wareeggii, taasoo ah 2.70% doollarka dheeraadka ah. Caymiska waxaa loo qiimeeyay si sax ah sida wax kasta oo kale.

Sababta ay tani u guud tahay

Qiimayaasha la filayo way isku darmaan. Koox kasta oo sharadyo isku mar ah waxay leedahay EV la mid ah wadarta EV-yada qaybaha, mid kastaana waa −1/37 sharadkiisa. Sidaas darteed isku-dar kastaa waa −1/37 wadarta sharadka. Ma jiro habayn chips ah oo shaxda sharadkaqalabShaxda sharadkaShaxda sharadka ee daabacan ee miiska. Sidoo kale: table, felt, cloth.Akhri dhammaan → ah, intay doonaan ha le'ekaadeene, oo ka baxsada tan; qalabka Dhisaha Sharadka ayaa xaqiijin doona koox kasta oo aad dhigi karto. Waxa isku-darradu beddelaan waa qaybinta: inta jeer ee aad guulaysato, inta ay le'eg tahay, iyo inta ay xun tahay xaaladda ugu xun.

Isla $21 saddex qaab: itimaalka guusha iyo xaaladda ugu xun
$21 casaanka: p(guul)
48.6% · ugu xun −$21
laba dersin + eber: p(guul)
67.6% · ugu xun −$21
$21 lambarka 17: p(guul)
2.7% · ugu xun −$21
033.8067.6% · ugu xun −$21
Saddexduba waxay leeyihiin EV −$0.57 wareeggii. Waxay ku kala duwan yihiin oo keliya qaabka.

Su'aal xigta oo ka adag

Hel isku-dar sharadyo caadi ah oo daboola dhammaan 37-ka lambar. Saddex dersin ($10 mid kasta) iyo $1 eberka: mid kasta oo 1–36 ah saafigiisu waa −$1 (hal dersin wuxuu bixiyaa $20, labada kale waxay khasaaraan $20, eberku wuxuu khasaaraa $1), eberkuna saafigiisu waa +$35 − $30 = +$5. EV = (36 × (−1) + 5)/37 = −31/37 $31 oo la sharadsaday: 2.70%. Waxaad dammaanad qaadi kartaa inaadan weligaa la yaabin, weli waxaad bixinaysaa isla qiimaha mudnaantaas.

Qaacido

EV(isku-dar) = Σ EV(qaybaha) = −(wadarta sharadka)/37

Su'aalo

Ma jiraa isku-dar sharad oo faa'iidada kasiinadu ka hooseyso?

Maya, miis Yurub ah. Miis Faransiis ah, sharadyada lacag isle'eg ahsharadSharad lacag isle'eg ahCasaan/madow, kisi/dhaban, sare/hoose. 18 lambar, wuxuu bixiyaa 1:1.Akhri dhammaan → keligood waa 1.35%; ku darista wax kale waxay kor u qaadaysaa faa'iidada isku-dhafan.

Ka warran ku sharadsashada casaan iyo madow labadaba?

Wuxuu khasaaraa $1 $1 kasta eberka oo keliya, waxbana kuma guulaysto marka kale. EV −2.70% iyadoo aan faa'iido jirin: isku-darka keliya ee gebi ahaanba aan macno lahayn.

Haddaba maxaa sharadyada la isugu daraa?

Si aad u doorato qaab fadhi oo aad ku raaxaysato. Taasi waa sabab sharci ah, waana tan keliya.

Kaftan yar

Caymiska miiska roulette wuxuu ku kacaa si sax ah inta uu badbaadiyo.

Caymiska miiska roulette wuxuu ku kacaa si sax ah inta uu badbaadiyo.

Ilaha

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Cutubka 13, roulette.
la eegay 2026-09-28model: Yurub, hal eberhabka shaqada ↗ilaha ↗