Roulette akontaabu · Akontaabu asɛmmisa · simma 7

Asɛmmisa: dumienu kuo mmienu ne agorɔ sika baako

Dumienu kuo mmienu kata nɔma 24 so. Fa agorɔ sika baako to hwee so na wokata 25 so. Ahobanbɔ no tua?

Mmuaeɛ tiawa

Dabi. Fa biara yɛ −2.70% wɔ ne bɛt sika so, ɛno nti nkabom no yɛ −2.70% wɔ ne nyinaa so. Asɛmmisa no kyerɛkyerɛ deɛ enti mu, ɛbu nkyekyɛmu pɔtee no, na ɛkyerɛ deɛ ɛsesa (nsɛsoɔ no) ne deɛ ɛnsesa (boɔ no).

dumienu kuo mmienu
24/37 · mfasoɔ ankasa +1 anaa −2
ne hwee ka ho
wɔakata 25/37 so
EV wɔ kyɛfa biara so
−1/37 biribiara mfa ho
deɛ yɛsua
EV bom

Asɛmmisa no

Wode $10 to dumienu kuobɛtDumienu kuo1–12, 13–24 anaa 25–36, akatua 2:1.Kenkan ne nyinaa → a edi kan so, $10 wɔ dumienu kuo a ɛtɔ so mmienu so ne $1 wɔ hweentwahonanHweeTokuru ahabammono baako a sika pɛ bɛt, dumienu kuo bɛt anaa santen tee bɛt biara nkata so; kasino mfasoɔ fibea. Wɔfrɛ no nso hwee baako, 0.Kenkan ne nyinaa → so. (a) Deɛ ɛbɛtumi aba ne ne hokwan yɛ dɛn? (b) Boɔ a wɔhwɛ kwanakontaabuBoɔ a wɔhwɛ kwanNsunsuansoɔ mfinimfini boɔ wɔ bɛt biara so wɔ bere tenten mu. Bɛt sika no −1/37 wɔ Yuropu bɛt biara a ɛyɛ daa deɛ so.Kenkan ne nyinaa → no yɛ ahe? (c) Hwee so agorɔ sikasikaAgorɔ sikaAdeɛ a ɛgyina hɔ ma sika dodoɔ bi a ɛnsesa, a wode to bɛt nhyehyɛe no so de to bɛt. Wɔfrɛ no nso check.Kenkan ne nyinaa → no ma bɛt no yɛ papa?

Mmuaeɛ (a) ne (b)

Deɛ ɛbɛtumi aba: bɔɔlnneɛma a wɔde diBɔɔlBɔɔl ketewa a wɔto no ma ɛtu mmirika wɔ ne kwan mu tia rotor no. Ɛnnɛ bɔɔl yɛ ivorine anaa Teflon, 18–21 mm.Kenkan ne nyinaa → wɔ 1–24 mu (ntokurunneɛma a wɔde diTokuruRotor no so tokuru 37 a nɔma wom no mu baako. Wɔfrɛ no nso slot, cup.Kenkan ne nyinaa → 24): dumienu kuo baako tua $20, baako hwere $10, hwee hwere $1: mfasoɔ ankasa +$9. Bɔɔl wɔ 25–36 mu (ntokuru 12): dumienu kuo mmienu no nyinaa hwere, hwee hwere: −$21. Bɔɔl wɔ hwee so (tokuru 1): dumienu kuo no hwere $20, hwee tua $35: +$15. EV = (24 × 9 + 1 × 15 − 12 × 21)/37 = (216 + 15 − 252)/37 = −21/37 ≈ −$0.57 wɔ kyinhyia biara mu wɔ $21 a wode ato so: 2.70%.

deɛ ɛbantokuruhokwandeɛ ɛfiri mu ba
1–242464.9%+$9
25–361232.4%−$21
012.7%+$15
deɛ wɔhwɛ kwan−$0.57 = 2.70% wɔ $21 so

Mmuaeɛ (c)

Sɛ hwee so agorɔ sika no nni hɔ a: (24 × 10 − 13 × 20)/37 = (240 − 260)/37 = −20/37 ≈ −$0.54 wɔ $20 a wode ato so, ɛno nso yɛ 2.70%. Hwee so agorɔ sika no adane hwee so deɛ ɛbɛba a ɛyɛ −$20 no ayɛ +$15 (nkɔsoɔ $35 mpɛn baako wɔ 37 mu, a ne boɔ yɛ $0.95 wɔ kyinhyia biara mu) na abɔ $1 ka wɔ kyinhyia 36 a aka no mu (a ne boɔ yɛ $0.97 wɔ kyinhyia biara mu). Nsakraeɛ ankasa: −$0.03 wɔ kyinhyia biara mu, a ɛyɛ 2.70% wɔ dɔla a wode kaa ho no so. Ahobanbɔ no boɔ yɛ pɛpɛɛpɛ te sɛ biribiara foforɔ.

Adɛn nti na ɛfa biribiara ho

Boɔ a wɔhwɛ kwan bom. Bɛt biara a wode to prɛko pɛ no EV yɛ ne fa biara EV nyinaa bom, a emu biara yɛ −1/37 wɔ ne bɛt sika so. Ɛno nti nkabom biara yɛ −1/37 wɔ bɛt sika nyinaa so. Agorɔ sika nhyehyɛe biara nni bɛt nhyehyɛenneɛma a wɔde diBɛt nhyehyɛeBɛt nhyehyɛe a wɔatintim wɔ ɛpono no so. Wɔfrɛ no nso ɛpono, ntoma, felt.Kenkan ne nyinaa → no so, sɛ ɛdɔɔso sɛn biara, a ɛguan firi eyi ho; Bet Builder adwinnadeɛ no bɛsi so dua ama nkabom biara a wobɛtumi ato. Deɛ nkabom sesa ne nkyekyɛmu no: mpɛn dodoɔ a wodi nkonim, sika dodoɔ, ne sɛdeɛ deɛ ɛbɔne sen biara no te.

$21 koro no ara wɔ akwan mmiɛnsa so: nkonim hokwan ne deɛ ɛbɔne sen biara
$21 wɔ kɔkɔɔ so: p(nkonim)
48.6% · deɛ ɛbɔne sen biara −$21
dumienu kuo mmienu + hwee: p(nkonim)
67.6% · deɛ ɛbɔne sen biara −$21
$21 wɔ 17 so: p(nkonim)
2.7% · deɛ ɛbɔne sen biara −$21
033.8067.6% · deɛ ɛbɔne sen biara −$21
Ne mmiɛnsa nyinaa EV yɛ −$0.57 wɔ kyinhyia biara mu. Nsonsonoeɛ a ɛda wɔn ntam ne nsɛsoɔ nko ara.

Asɛmmisa a ɛdi so a ɛyɛ den kakra

Hwehwɛ bɛt a ɛtaa ba nkabom bi a ɛkata nɔma 37 no nyinaa so. Dumienu kuo mmiɛnsa ($10 biara) ne $1 wɔ hwee so: 1–36 mu biara ma mfasoɔ ankasa −$1 (dumienu kuo baako tua $20, mmienu a aka no hwere $20, hwee hwere $1), na hwee ma +$35 − $30 = +$5. EV = (36 × (−1) + 5)/37 = −31/37 wɔ $31 a wode ato so: 2.70%. Wobɛtumi ahwɛ sɛ biribiara renyɛ wo nwanwa da, na wo da so tua boɔ koro no ara ma saa hokwan no.

Akontaabu kwan

EV(nkabom) = Σ EV(afa) = −(bɛt sika nyinaa)/37

Nsɛmmisa

Bɛt nkabom bi wɔ hɔ a ne kasino mfasoɔ sua?

Dabi, wɔ Yuropu ɛpono so. Wɔ Franse ɛpono so no, sika pɛ bɛtbɛtSika pɛ bɛtKɔkɔɔ/tuntum, ɛnkyɛ pɛ/ɛkyɛ pɛ, soro/fam. Nɔma 18, akatua 1:1.Kenkan ne nyinaa → nko ara yɛ 1.35%; sɛ wode biribi foforɔ ka ho a, kasino mfasoɔ a aka abom no kɔ soro.

Na sɛ mede bɛt to kɔkɔɔ ne tuntum nyinaa so ɛ?

Ɛhwere $1 wɔ $1 biara so wɔ hwee so nko ara, na ennya hwee wɔ bere foforɔ biara mu. EV −2.70% a mfasoɔ biara nni mu: nkabom baako a mfasoɔ biara nni so koraa.

Ɛno de, adɛn nti na wɔka bɛt bom koraa?

Sɛ wobɛpaw agorɔ bere nsɛsoɔ a ɛyɛ wo dɛ. Ɛno yɛ ntease pa, na ɛno nko ara ne ntease.

Serew kakra

Ahobanbɔ wɔ roulette ɛpono so bɔ ka pɛpɛɛpɛ sɛ deɛ ɛkora so.

Ahobanbɔ wɔ roulette ɛpono so bɔ ka pɛpɛɛpɛ sɛ deɛ ɛkora so.

Nsɛm fibea

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Ti 13, roulette.
wɔsan hwɛɛ mu 2026-09-28nhwɛsoɔ: Yuropu, hwee baakoakontaabu ɔkwan ↗nsɛm fibea ↗