Roulette akontaabu · Deɛ wɔde di dwuma · simma 8

Roulette akyɛdeɛ, nhyehyɛe a wɔde twetwe agorɔfoɔ, ne sika a wɔsan de ma

Roulette akyɛdeɛ te sɛ matchplay tikiti, agorɔ sika a wontumi nsesa nnyɛ sika, ne ahwereɛ ho sika a wɔsan de ma no de sika kakra firi kasino no hɔ ma agorɔfoɔ no. Sɛ wobu ne boɔ yie a, ebinom boɔ sen deɛ ntwahonan no gye.

Mmuaeɛ tiawa

Tikiti a ɛma sika pɛ akatua yɛ mmɔho mmienu no boɔ yɛ bɛyɛ 46% wɔ bɛt no so wɔ Yuropu ntwahonan so. Akyɛdeɛ agorɔ sika a wode di dwuma pɛnkoro no boɔ yɛ (36 − n)/37 wɔ ne boɔ a wɔakyerɛw so so wɔ bɛt a ɛkata nɔma n so: 95% wɔ nɔma baako bɛt so, 49% wɔ kɔkɔɔ so. Sɛ wɔsan de w'ahwereɛ ankasa fa ma wo a, ɛma agorɔ bere tiawa wɔ kɔkɔɔ so fata sɛ wodi. Yei mu biara nsesa ntwahonan no; ɛsesa deɛ ɔtua.

matchplay tikiti wɔ kɔkɔɔ so
+45.9% wɔ bɛt no so
$100 agorɔ sika a wode di dwuma pɛnkoro, nɔma baako bɛt
ne boɔ yɛ $94.59
agorɔ sika koro no ara wɔ kɔkɔɔ so
ne boɔ yɛ $48.65
50% ahwereɛ ho sika a wɔsan de ma wɔ kɔkɔɔ so
ɛye sen biara wɔ kyinhyia 25 mu

Adɛn nti na akyɛdeɛ bɛtumi adi kasino mfasoɔ so nkonim

Kasino mfasoɔakontaabuKasino mfasoɔBɛt sika biara mu kyɛfa a kasino no kora wɔ mfinimfini mu: 2.70% wɔ Yuropu roulette mu.Kenkan ne nyinaa → yɛ boɔ wɔ kyɛfasikaKyɛfaBɛt sika a ɛwɔ ase a nhyehyɛe anaa agorɔfoɔ de yɛ adwuma. Wɔka bɛt nsakraeɛ ntoatoasoɔ ho asɛm wɔ kyɛfa mu sɛdeɛ ɛbɛyɛ a ɛbɛfata ɛpono biara.Kenkan ne nyinaa → biara a wode to so: 2.70% wɔ Yuropu ntwahonan so. Roulette akyɛdeɛ de sika ka bɛt bi fa baako ho, na sɛ ɛde sen 2.70% wɔ bɛt sika no so ka ho a, saa bɛt no yɛ papa bere a akyɛdeɛ no wɔ hɔ. Kasino ahodoɔ de ma saa ara ɛfiri sɛ ano wɔ hɔ: tikiti baako wɔ nsrahwɛ biara mu, 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 → a wobɛtumi de ato bɛt nanso worentumi nsesa nnyɛ sika, sika a wɔsan de ma agorɔfoɔ a wɔhwere sika kɛseɛ nko ara. Akontaabu no yɛ pɛ te sɛ baabiara wɔ site yi so: hokwan bɔ akatuasikaAkatuaDeɛ bɛt a edi nkonim de ma, a wɔka no sɛ “X tia 1” ka bɛt sika a ɛsan ba no ho.Kenkan ne nyinaa →, a wɔaka deɛ ɛbɛtumi aba nyinaa abom.

Matchplay tikiti

Matchplay tikiti tena sika bɛt bi nkyɛn na ɛma deɛ bɛt no tua yɛ mmɔho mmienu sɛ ɛdi nkonim a; sɛ wodi nkonim anaa wohwere no, kasino no gye tikiti no. Bollman (2024) bu Las Vegas tikiti bi a ɛfiri afe 2022 mu a ɛmaa kɔsi $50 wɔ sika pɛ bɛtbɛtSika pɛ bɛtKɔkɔɔ/tuntum, ɛnkyɛ pɛ/ɛkyɛ pɛ, soro/fam. Nɔma 18, akatua 1:1.Kenkan ne nyinaa → so no boɔ. Wɔ Yuropu ntwahonan so no, $50 wɔ kɔkɔɔbɛtKɔkɔɔSika pɛ bɛt wɔ nɔma kɔkɔɔ 18 no so. Franse kasa mu: rouge.Kenkan ne nyinaa → so a tikiti no ka ho nya $100 wɔ hokwan 18/37 mu na ɛhwere $50 wɔ hokwan 19/37 mu: deɛ wɔhwɛ kwan yɛ +$22.97, anaa 45.9% wɔ bɛt no so. Wɔ Amerika ntwahonan so no, ɛyɛ +$21.05, 42.1%. Wɔ nɔma baako bɛtbɛtNɔma baako bɛtNɔma baako pɛ, ɛtua 35:1.Kenkan ne nyinaa → so no, anka tikiti koro no ara boɔ bɛyɛ mmɔho mmienu, na ɛno nti na wɔde tikiti no ma sika pɛ bɛt nko ara.

bɛtdeɛ ɛtua sɛ ɛdi nkonim aYuropu ntwahonanAmerika ntwahonan
$50 wɔ kɔkɔɔ so, tikiti biara nni hɔ$50−$1.35 (−2.70%)−$2.63 (−5.26%)
$50 wɔ kɔkɔɔ so a tikiti no ka ho$100+$22.97 (+45.9%)+$21.05 (+42.1%)
$50 nɔma baako bɛt a tikiti no ka ho, sɛ wɔma kwan a$3,500+$45.95 (+91.9%)+$43.42 (+86.8%)

Amerika roulette ntwahonan ne mmara

Agorɔ sika a wontumi nsesa nnyɛ sika

Akyɛdeɛ agorɔ sika, a wɔsan frɛ no non-negotiable chips, yɛ deɛ wobɛtumi de ato bɛt nanso worentumi nsesa nnyɛ sika. Mmara a ɛtaa ba ne sɛ wode di dwuma pɛnkoro: bɛt a ɛdi nkonim no, wɔtua no agorɔ sika a ɛyɛ daa daa na wɔgye akyɛdeɛ agorɔ sika no; deɛ ɛhwere no nso, wɔgye. $100 agorɔ sika wɔ bɛt a ɛkata nɔma n so nya (36 − n)/n × $100 wɔ hokwan n/37 mu, ɛno nti ne boɔ yɛ (36 − n)/37 wɔ ne boɔ a wɔakyerɛw so so. Agorɔ sika no ankasa boɔ nsan mma da, nkonim sika no nko ara, na bɛt a ɛmmaa nni nkonim nanso ɛtua pii no na ɛhwere kakra sen biara saa kwan yi so: $94.59 wɔ nɔma baako bɛt so, $48.65 wɔ kɔkɔɔ so. Baabi a agorɔ sika no betumi atena bɛt nhyehyɛenneɛma a wɔde diBɛt nhyehyɛeBɛt nhyehyɛe a wɔatintim wɔ ɛpono no so. Wɔfrɛ no nso ɛpono, ntoma, felt.Kenkan ne nyinaa → no so kɔsi sɛ ɛbɛhwere no, sika pɛ bɛt boɔ yɛ 18/19 wɔ ne boɔ a wɔakyerɛw so so wɔ Yuropu ntwahonan so ne 9/10 wɔ Amerika deɛ so (Bollman, 2024).

bɛtnɔma$100 agorɔ sika a wode di dwuma pɛnkoro boɔ
Nɔma baako bɛt1$94.59
Nɔma mmienu bɛt2$91.89
Nɔma mmiɛnsa bɛt3$89.19
Nɔma ɛnan bɛt4$86.49
Nɔma nsia bɛt6$81.08
Dumienu kuo12$64.86
Kɔkɔɔ18$48.65

Sɛdeɛ wobɛdane agorɔ sika no ayɛ sika

Boɔ yɛ mfinimfini; agorɔfoɔ a ɔpɛ sika no pintinn bɛtumi de ahobanbɔ atɔ. Bollman nhwɛsoɔ firi Vegas World kasino dada no mu: $1,000 agorɔ sika a wode di dwuma pɛnkoro wɔ Amerika ntwahonan so, $500 wɔ kɔkɔɔ so ne $500 wɔ tuntumbɛtTuntumSika pɛ bɛt wɔ nɔma tuntum 18 no so. Franse kasa mu: noir.Kenkan ne nyinaa → so, ne $20 sika wɔ 0 ne 00 biara so. Kɔkɔɔ anaa tuntum nya $500 na ɛhwere sika $40 no: +$460. 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 → hwere agorɔ sika mmienu no nyinaa na ɛtua $700 wɔ sika no so: +$680. Agorɔfoɔ no de $460 anaa deɛ ɛboro saa sie, na mfinimfini no, $471.58, yɛ 99.6% wɔ agorɔ sika no boɔ wɔ kɔkɔɔ nko ara so. Baabi a mmara no ma agorɔ sika kwan wɔ nɔma baako baako so no, Yuropu ntwahonan ma ahobanbɔ a ɛye sen saa: $25 agorɔ sika wɔ nɔma 36 no nyinaa so ($900) ne $25 sika wɔ hwee so. Nɔma biara a ɛba no tua $875, na sika a ɛwɔ hwee so no hwere gye sɛ hwee ankasa ba, ɛno nti agorɔfoɔ no kora $850 anaa deɛ ɛboro saa, 94% wɔ agorɔ sika no boɔ a wɔakyerɛw so so, a asiane biara nni mu koraa.

Agorɔ sika a wode di dwuma pɛnkoro kata kɔkɔɔ ne tuntum so bere a sika bɛt ketewa kata hwee mmienu no so.

Bɛt a wɔtrɛtrɛ mu ne bɛt a wɔde bɔ ho ban wɔ roulette mu

Ahwereɛ ho sika a wɔsan de ma

Wɔtaa ma agorɔfoɔ a wɔto sika kɛseɛ rebate: wɔn ahwereɛ ankasa fa bi a wɔsan de ma wɔn wɔ agorɔ bere a wɔapene so awieeɛ. Rebate tua bere a wohwere nko ara, ɛno nti ne boɔ kɔ soro sen biara bere a deɛ ɛfiri mu ba kyinkyini pii na agorɔ bere no yɛ tiawa sɛdeɛ kasino mfasoɔ no nnii so nkonim ɛ. Epstein (2013) bu asɛm no ma Amerika ntwahonan; yɛn nɔma ma Yuropu deɛ di so. Sɛ wɔsan de ahwereɛ ankasa fa ma a, sika pɛ a wɔto daa wɔ sika pɛ bɛt so fata sɛ wodi kɔsi kyinhyia 103 na ɛye sen biara wɔ 25, a ne boɔ yɛ bɛt sika +0.51 wɔ mfinimfini mu. Wɔ nɔma baako bɛt so no, nkyinkyini no yɛ kɛseɛ araa ma agorɔ bere no da so yɛ papa kɔsi bɛyɛ kyinhyia 3,600 na ɛye sen biara wɔ 882, a ne boɔ yɛ bɛt sika +17.25. Wɔ 10% a ɛtaa ba no so no, sika pɛ yɛ papa wɔ kyinhyia baako pɛ mu, na nɔma baako bɛt ye sen biara wɔ kyinhyia 20, a ne boɔ yɛ bɛt sika +0.62.

sika a wɔsan de mabɛtɛyɛ papa kɔsiagorɔ bere a ɛye sen biarane boɔ wɔ deɛ ɛye sen biara so
50%sika pɛkyinhyia 103kyinhyia 25bɛt sika +0.51
50%nɔma baako bɛtbɛyɛ kyinhyia 3,600kyinhyia 882bɛt sika +17.25
10%sika pɛkyinhyia 1kyinhyia 1bɛt sika +0.02
10%nɔma baako bɛtkyinhyia 85kyinhyia 20bɛt sika +0.62
Yuropu ntwahonan, bɛt sika baako wɔ kyinhyia biara mu wɔ bɛt koro no ara so, wɔtua sika a wɔsan de ma no wɔ ahwereɛ ankasa so wɔ kyinhyia dodoɔ pintinn bi akyi. Binomial akontaabu pɛpɛɛpɛ.

Roulette akyɛdeɛ mmara: deɛ kasino no de ne ho to so

Akyɛdeɛ biara wɔ ano, na ano no bɔ kasino no ho ban: tikiti baako wɔ nsrahwɛ biara mu, agorɔ sika a wɔde ma wɔ dodoɔ pintinn mu, rebate a wɔpene so ma agorɔfoɔ a wɔn ahwereɛ a wɔhwɛ kwan wɔ akwantuo bi mu yɛ kɛseɛ koraa sen sika a wɔsan de ma no nko ara. Agorɔfoɔ a ɔde tikiti no di dwuma na ɔtena hɔ anadwo no nyinaa de $50 to kɔkɔɔ so no de $22.97 no san ma wɔ kyinhyia 17 mu, wɔ $1.35 kyinhyia biara so. Boɔ no yɛ ampa ma agorɔfoɔ a ɔgye na ɔkɔ, anaa obi a na ɔrebɛdi agorɔ saa dodoɔ no ara dada.

Akontaabu kwan

agorɔ sika a wode di dwuma pɛnkoro wɔ nɔma n so: boɔ = (36 − n)/37 wɔ ne boɔ a wɔakyerɛw so so
tikiti a ɛma sika pɛ nkonim yɛ mmɔho mmienu: EV = (2 × 18 − 19)/37 wɔ bɛt no so
sika r a wɔsan de ma wɔ ahwereɛ ankasa so: EV = E[deɛ ɛfiri mu ba] + r × E[ahwereɛ ankasa]

Nsɛmmisa

Tikiti bɛtumi ama roulette ayɛ agorɔ a wodi so nkonim?

Ma bɛt baako a ɛka ho no, aane. Bɛt foforɔ biara da so bɔ 2.70% wɔ bɛt sika no so ka.

Adɛn nti na kasino ahodoɔ gyina ahobanbɔ no ano?

Agorɔfoɔ kakraa bi pɛ na wɔdwene ho, agorɔ sika no wɔ ano, na kasino no abu akyɛdeɛ no boɔ sɛ dawurobɔ dada.

Wɔde rebate ma agorɔfoɔ a wɔyɛ daa daa?

Ɛmmaa mma. Ɛyɛ agorɔfoɔ a wɔto sika kɛseɛ ho nhyehyɛe, a mpɛn pii no wɔne kasino host bi pene so na wɔtua no wɔ ahwereɛ ankasa a ɛba akwantuo bi mu so.

Akontaabu ho anigyeɛ

Di kan yɛ eyinom ara wo ho. Wɔakata mmuaeɛ biara so; sɛ woasiesie wo ho a, bue no.

  1. Wɔde $25 nkuranhyɛ 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 → ma wo a wɔgye firi wo nsam bɛt baako akyi, wudi nkonim anaa wohwere. Ɛhe na ɛsɛ sɛ ɛkɔ: kɔkɔɔbɛtKɔkɔɔSika pɛ bɛt wɔ nɔma kɔkɔɔ 18 no so. Franse kasa mu: rouge.Kenkan ne nyinaa → so, dumienu kuobɛtDumienu kuo1–12, 13–24 anaa 25–36, akatua 2:1.Kenkan ne nyinaa → so anaa nɔma baako so?

    Kyerɛ mmuaeɛ no

    Mmuaeɛ Nɔma baako so. Ɛhɔ no ɛsom $23.65 wɔ mfinimfini mu; wɔ dumienu kuo so $16.22 na wɔ kɔkɔɔ so $12.16.

    Agorɔ sika no ankasa nsan mma da, deɛ ɛdi nkonim nko ara. Wɔ kɔkɔɔ so no, ɛdi $25 nkonim wɔ hokwan 18/37 mu: $12.16. Wɔ dumienu kuo so no, ɛdi $50 nkonim wɔ hokwan 12/37 mu: $16.22. Wɔ nɔma baako so no, ɛdi $875 nkonim wɔ hokwan 1/37 mu: $23.65.

    Wɔ ne nyinaa mu no, bɛt wɔ nɔma n so som agorɔ sika no mu (36 − n)/37, enti nɔma no sua a, ɛyɛ papa. Wɔ agorɔ sika kɛkɛ so no, yei nyɛ nsonsonoeɛ biara, ɛfiri sɛ bɛt sika no san ba nkonim biara mu na bɛt biara som ne mu 36/37. Sɛ woyi bɛt sika no firi hɔ a, ɛhaw bɛt a ɛtaa di nkonim no na ɛnka bɛt a ɛdi nkonim mprɛ baako wɔ 37 mu no kɛseɛ.

  2. Kasino bi bɛsan de w'ahwereɛ ankasa mu fa ama wo kyinhyia baako pɛpɛɛpɛ akyi. $100 wɔ kɔkɔɔ so som bo sɛ wobɛdi? Na $100 wɔ nɔma baako so nso ɛ?

    Kyerɛ mmuaeɛ no

    Mmuaeɛ Ne mmienu nyinaa: bɛyɛ +$22.97 wɔ kɔkɔɔ so ne +$45.95 wɔ nɔma no so.

    Wɔ kɔkɔɔ so no, wudi $100 nkonim wɔ hokwan 18/37 mu na, wɔsan de sika no ama wo akyi no, wohwere $50 wɔ hokwan 19/37 mu: (1,800 − 950)/37 = +$22.97.

    Wɔ nɔma baako so no, wudi $3,500 nkonim wɔ hokwan 1/37 mu na wohwere $50 wɔ hokwan 36/37 mu: (3,500 − 1,800)/37 = +$45.95.

    Yeinom ne matchplay nɔma no bio. $100 bɛt a ɛhwere $50 pɛ no di $100 nkonim anaa ɛhwere $50, pɛpɛɛpɛ sɛ $50 bɛt a coupon a ɛma ne nkonim yɛ mmɔho mmienu ka ho. Wɔ agorɔ bere tenten mu no, wɔtua sika a wɔsan de ma no wɔ deɛ ɛfiri mu ba ankasa nko ara so, nkonim ne ahwereɛ pepa wɔn ho ansa na wɔatua, na ne mfasoɔ so tew; ma kɔkɔɔ a wɔsan de fa ma no, kyinhyia 25 ne tenten a ɛyɛ papa sen biara.

  3. Kasino no bɛsan de w'ahwereɛ ankasa mu fa ama wo $100 bɛt dodoɔ bi a wɔahyɛ wɔ kɔkɔɔ so akyi, a wopaw ansa: kyinhyia 1, 2 anaa 3. Ɛhe na ɛsom bo sen biara?

    Kyerɛ mmuaeɛ no

    Mmuaeɛ Kyinhyia mmiɛnsa: bɛyɛ +$31.45. Kyinhyia baako som +$22.97, na mmienu som +$20.96 pɛ.

    Kyinhyia baako: di $100 nkonim wɔ hokwan 18/37 mu, anaa hwere $100 na nya $50 bio wɔ hokwan 19/37 mu: +$22.97, sɛdeɛ ɛte wɔ dwumadie a ɛwɔ soro no mu.

    Kyinhyia mmienu: ne mmienu nyinaa di nkonim (mprɛ 324 wɔ 1,369 mu), +$200. Baako baako (mprɛ 684), $0, na hwee nni hɔ a wɔbɛsan de ama. Ne mmienu nyinaa hwere (mprɛ 361), −$200, −$100 wɔ sika a wɔsan de ma akyi. Mfinimfini boɔ: (200 × 324 − 100 × 361)/1,369 = +$20.96. Sika a wɔsan de ma no tua wɔ ahwereɛ so nko ara, na kyinhyia mmienu dane kyinhyia baako ahwereɛ pii ma ɛyɛ pɛ.

    Kyinhyia mmiɛnsa ntumi nyɛ pɛ da. Nkonim mmiɛnsa (mprɛ 5,832 wɔ 50,653 mu): +$300. Nkonim mmienu (18,468): +$100. Nkonim baako (19,494): −$100, a wɔsan de ma kɔ −$50. Hwee (6,859): −$300, a wɔsan de ma kɔ −$150. Mfinimfini boɔ: +$31.45.

    Sika a wɔsan de ma no som bo kɛseɛ sɛ wohyɛ bere tenten a, bere a kasino mfasoɔ gye $2.70 pɛ kyinhyia biara, enti ne mfasoɔ kɔ soro kɔ bɛyɛ +$51 wɔ kyinhyia 25 so (hwɛ pon a ɛwɔ soro no), na kyinhyia dodoɔ a ɛnkyɛ pɛ di nkonim daa sen dodoɔ a ɛkyɛ pɛ a ɛdi n'akyi.

  4. Las Vegas kasino bi de coupon bi maeɛ bere bi: to $5 wɔ 00 so na, sɛ ɛdi nkonim a, wɔtua wo $250 mmom sen $175 a ɛtaa yɛ. $5 bɛt no som ahe wɔ coupon no ho, sɛ bɛt sika no kyɛfa, wɔ ne 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 → mmienu ntwahonan so?

    Kyerɛ mmuaeɛ no

    Mmuaeɛ Bɛyɛ +34%: bɛt no som +$1.71 wɔ mfinimfini mu. Sɛ $250 no ka $5 a ɛsan ba no ho a, ɛyɛ +31.6%.

    00 di nkonim mprɛ baako wɔ kyinhyia 38 mu. Coupon no ho: +$250 mprɛ baako, −$5 mprɛ 37 a aka no. Mfinimfini boɔ: (250 − 37 × 5)/38 = 65/38 = +$1.71, a ɛyɛ $5 mu 34.2%. Sɛ coupon nni hɔ a: (175 − 185)/38 = −$0.26, −5.26% a ɛtaa yɛ no.

    Sɛ $250 ne sika a wɔsan tua nyinaa a, nkonim no yɛ $245 na mfinimfini boɔ no yɛ (245 − 185)/38 = +$1.58, anaa 31.6%.

    Bollman (2024) de saa coupon yi, a ɛfiri Lady Luck kasino (seesei Downtown Grand) ma sɛ adesua dwumadie; mmuaeɛ a wɔatintim ne ho, 7.89%, ne nkyerɛaseɛ mmienu no mu biara nhyia. Te sɛ matchplay coupon no, ɛsom biribi mprɛ baako: di na gyae.

Serew kakra

Akyɛdeɛ boɔ kɔ soro sen biara ma agorɔfoɔ a ɔgye na ɔkɔ fie.

Akyɛdeɛ boɔ kɔ soro sen biara ma agorɔfoɔ a ɔgye na ɔkɔ fie.

Nsɛm fibea

  1. Bollman, M. Basic Gambling Mathematics: The Numbers Behind the Neon, 2nd ed. CRC Press, 2024.
  2. Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed. Academic Press, 2013.
wɔsan hwɛɛ mu 2026-09-28nhwɛsoɔ: Yuropu, hwee baakoakontaabu ɔkwan ↗nsɛm fibea ↗