Ngaahi Founga · Fakalakalaka peti ʻoku hiki hili ʻa e mole · miniti ʻe 9

Founga Lulēti Martingale

ʻOku fakaua ʻe he founga lulēti Martingale ʻa e peti hili ʻa e mole kotoa pea foki ki he peti tefito hili ha ikuna. ʻOku fakafoki ʻe he ikuna taki taha ʻa e ngaahi mole kotoa kimuʻa fakataha mo ha iuniti tefito ʻe taha. ʻOku fakahā ʻi he peesi ʻi lalo ʻa e meʻa ʻoku fai ʻe ia ki ha paʻanga vaʻinga, mo e ʻuhinga ʻoku ʻikai lava ai ke ne liliu ʻa e mole ʻamanekina.

Tali nounouʻOku ʻikai ikunaʻi ʻe ia ʻa e veʻeteka. Ko ha founga fakaua ʻi he lulēti, ʻoku ngaohi ʻe he Martingale ha ngaahi ikuna siʻisiʻi lahi mo ha ngaahi mole lahi ʻi he taimi ʻe niʻihi. ʻI ha lahi pē ʻo e vilo ʻoku kei tuʻu ʻa e mole ʻamanekina ʻi he 2.70% ʻo e kātoa ʻo e paʻanga naʻe peti, pea koeʻuhi ʻoku peti lahi ʻa e fakalakalaka, ʻoku lahi ange ʻa e mole ʻamanekina ʻi he taimi vaʻinga taki taha ʻi he peti tatau, ʻikai siʻi ange.

ʻOku fēfē hono ngāue ʻa e sisitemi lulēti Martingale?

Mole, pea fakaua. Ikuna, pea foki ki he peti tefito. Ko e sisitemi kakato ia. ʻI ha peti tefito ʻo e $10 mo ha fakangatangata ʻo e tēpile ʻo e $500 ʻoku ʻosi ʻa e hokohoko hili ha mole ʻe ono. Ko e kōlomu fakaʻosi ko e ngalingali ia ke aʻu ki he sitepu ko ia ʻi ha peti totongi tatau, ʻa ia ko e ngalingali ʻo e mole taki taha ko e 19/37.

mole #peti hokokātoa naʻe petip(aʻu)
0$10$10100.00%
1$20$3051.35%
2$40$7026.37%
3$80$15013.54%
4$160$3106.95%
5$320$6303.57%
6$640$1,2701.83%
7$1,280$2,5500.94%

Peti tefito $10, fakangatangata ʻo e tēpile $500. Hili ha mole ʻe ono ko e peti hoko ko e $640, ʻoku māʻolunga ange ʻi he fakangatangata: ʻoku maumau ʻa e fakalakalaka peti pea mole ai ʻa e $630. Ko e ngalingali ʻo ha mole hokohoko ʻe ono ʻi he kulokula ko e (19/37)^6 = 1.83%, ʻo meimei tuʻo taha ʻi he feinga ʻe 55.

ʻAlu ʻi he sisitemi

Ko ha mole ʻoku fakaliunga ua ai ʻa e peti. Ko ha ikuna ʻoku foki ai ki he kamataʻanga.

1248163264Mole
peti hoko1ola ki he taimi ni0ngaahi vilo0

ʻOku fua ʻa e ngaahi peti mo e ola ʻaki ʻa e iuniti ʻo e peti tefito.

ʻOku fēfē hono fōtunga ʻo ha taimi vaʻinga?

Ngaahi sitepu siʻisiʻi ki ʻolunga, pea toki ha matapā tō. ʻI ha Martingale ʻi he lulēti ʻoku tānaki ʻe he hokohoko fakaua kotoa kuo kakato ha peti tefito ʻe taha, ko ia ʻoku kaka maʻu pē ʻa e laine. Ko e hokohoko ʻoku aʻu ki he fakangatangata ʻo e $500 ʻoku ne toʻo fakafoki ʻa e $630 ʻi he taimi pē ʻe taha: ko e sitepu ʻe 63 ʻo e ngaahi sitepu ko ia.

Taimi vaʻinga Martingale ʻe hongofulu, peti tefito $10, fakangatangata $500ola ʻo fakahoa ki he kamataʻanga
+$2,500$0−$1,000+$1,840−$5000125250375500ngaahi viloola
taimi vaʻinga ʻe 1,000 × vilo ʻe 500 · vaioleti p10/p25/p75/p90, pulū maama fika lotoloto (median), sīpinga vaivai ʻe 83 · ʻave ki he kalafi ke sio ki he ngaahi kuanitaila ʻi ha vilo
  • p10 −$1,000
  • p25 −$1,000
  • fika lotoloto (median) −$1,000
  • p75 +$930
  • p90 +$1,830
taimi vaʻinga ʻe 1,000 × vilo ʻe 500 · kuo kosi ʻa e ʻakisi-y ki he pēsenitaila 1–99 (ngaahi ngataʻanga −$1,000 ki he +$2,640) · vilo ʻe 500 · tefito $10 · totongi tatau
Ko e laine taki taha ko ha taimi vaʻinga ʻe taha ʻo e ngaahi peti totongi tatau mei ha paʻanga vaʻinga ʻo e $1,000. Kaka lōloa, tō fakafokifā.
Sitepu siʻisiʻi ki ʻolunga, pea toki ha matapā tō ʻoku ne toʻo kotoa kinautolu ʻi he taimi pē ʻe taha.

Meʻa faʻifaʻitaki

ʻOku fakalele ʻe he fili taki taha ʻa e taimi vaʻinga ʻe 2,000 ʻo e ngaahi peti totongi tatau mei ha paʻanga vaʻinga ʻo e $1,000. ʻOku fakafoʻou leva ʻa e ngaahi ola.

Peti tefito
Fakangatangata ʻo e tēpile
Vilo ʻi he taimi vaʻinga takitaha
Ola ʻo e taimi vaʻinga · taimi vaʻinga ʻe 2,000 · vilo ʻe 100 · tefito $10 · fakangatangata $500mole ← | → tupu
−$1,000$0+$650
tuhu ki ha pā · ko e ngaahi pā kulokula ko e taimi vaʻinga naʻe mole, lanu mata naʻe ikuna, ko e pā vaivai ʻoku tuʻu ʻi he $0
taimi vaʻinga naʻe tupu
40.8%
ola fika lotoloto
−$130
ola ʻavalisi
−$66.44
naʻe maumau ʻa e fakalakalaka
59.3% ʻo e ngaahi taimi vaʻinga
pēsenitaila hono 5
−$1,000
holo lahi taha (fika lotoloto)
−$650

ʻOku ngata ʻa e lahi taha ʻo e ngaahi taimi vaʻinga ʻi ha tupu siʻi (40.8%), pea ko ia ia ʻoku manakoa ai. ʻOku ʻi lalo ʻa e ʻavalisi ʻi he noa (−$66.44) koeʻuhi ʻoku lalahi ʻa e ngaahi taimi vaʻinga ʻoku mole: naʻe aʻu ʻa e fakalakalaka peti ki he fakangatangata ʻo e tēpile ʻi he 59.3% ʻo e ngaahi taimi vaʻinga. Ko ha tokotaha peti tatau ʻaki ʻa e $10 ʻi he ngaahi vilo tatau ʻoku ʻamanekina ke ne mole ʻo meimei $27.

Ko e hā hono tuʻo lahi ʻo ha hokohoko mole

ʻOku mole ha peti totongi tatau ʻi ha veʻeteka noa ʻe taha ʻi he vilo ʻe 19 ʻi he 37. Ko e laine takitaha ko e ngalingali ke mole kotoa ha hokohoko vilo, mo e lahi kuo mole ai ʻe ha tokotaha vaʻinga Martingale, ʻa ia ʻoku ne fakaliunga ua ʻa e peti hili ʻa e mole kotoa pē.

Peti tefito
mole hokohokofaingamāliemeimei 1 ʻi hemole ki he taimi nipeti hoko
151.4%2$1$2
226.4%4$3$4
313.5%7$7$8
47.0%14$15$16
53.6%28$31$32
61.8%55$63$64
70.94%106$127$128
80.48%207$255$256
90.25%403$511$512
100.13%784$1,023$1,024
110.065%1527$2,047$2,048
120.034%2974$4,095$4,096
130.017%5792$8,191$8,192
140.0089%11279$16,383$16,384
150.0046%21965$32,767$32,768

Ko e ngalingali ko e 19/37 kuo liunga ʻaki ia ʻe ia tuʻo taha ki he mole takitaha, lau mei ha vilo pau ʻe taha. ʻOku lahi ʻa e ngaahi vilo ʻi ha taimi vaʻinga lōloa ʻe lava ke kamata ai ha hokohoko pehē, ko ia ʻi ha efiafi ʻoku mahulu ange hono ngalingali ʻi he meʻa ʻoku fakahā ʻe ha laine ʻe taha.

ʻOku hoko ha hokohoko ʻo e mole ʻe hongofulu mā nima ʻo meimei tuʻo taha ʻi he feinga ʻe 22,000. ʻOku hangē ʻoku malu ia. ʻOku ʻikai, koeʻuhi ko ha ʻuhinga ʻe ua. ʻOku kamata ʻe he vilo kotoa ha feinga foʻou, pea ʻoku ʻi ai ʻa e ngaahi teau ʻo e vilo ʻi ha efiafi. Pea ʻoku ʻikai aʻu ha taha ki he hongofulu mā nima: mei ha peti tefito ʻo e $10 ʻoku taʻofi ʻe he fakangatangata ʻo e $500 ʻa e fakaua hili ha mole ʻe ono, ʻa ia ʻoku hoko ʻo meimei tuʻo taha ʻi he feinga ʻe 55.

Ko e hā ʻoku ʻikai liliu ai ʻe ia ʻa e faingamālie?

ʻOku tānaki ʻa e mahuʻinga ʻamanekina. Kapau ʻoku ʻi ai ʻa e ʻamanekina ʻo e −2.70% ʻo hono lahi ʻi he peti taki taha, ko ia ko ha hokohoko pē ʻo e ngaahi peti, neongo pe ʻoku fili fēfē ʻa hono lahi, ʻoku ʻi ai hono ʻamanekina ʻo e −2.70% ʻo e kātoa naʻe peti. ʻE lava ke fakatefito ʻa e fili ʻo e lahi ʻo e peti ʻi he ngaahi ola kuo hili; ʻe ʻikai lava ke fakatefito ia ʻi he ola hoko.

E[Σ bᵢ·Xᵢ] = Σ bᵢ·E[Xᵢ] = −(1/37)·Σ bᵢ
ʻoku fili ʻa e bᵢ kimuʻa ʻi he vilo i; Xᵢ = ±1 ʻoku tauʻatāina mei he bᵢ

Ngaahi fakakaukau hala angamaheni

“ʻOku fiemaʻu pē ke ke ikuna ʻo tuʻo taha ke fakafoki ʻa e meʻa kotoa.”
Moʻoni ʻi ha fakalakalaka peti ʻoku kakato. Ko e fakalakalaka ʻoku ʻikai kakato, koeʻuhi ko e fakangatangata ʻo e tēpile pe ko hoʻo paʻanga vaʻinga, ʻoku mole ai ʻa e hokohoko kotoa, pea ʻoku lahi ʻa e hokohoko ko ia ʻi hono faʻu.
“ʻI ha paʻanga vaʻinga ʻoku lahi feʻunga ʻe ʻikai lava ke ne tō.”
ʻOku taʻofi ʻe he fakangatangata ʻo e tēpile ʻa e fakaua fuoloa kimuʻa ʻi he lahi taha ʻo e ngaahi paʻanga vaʻinga. Ka ʻikai ha fakangatangata, ʻoku tupu fakaʻekisiponeniale ʻa e paʻanga vaʻinga ʻoku fiemaʻu kae nofo pē ʻa e tupu ʻi he takai taki taha ʻi he iuniti tefito ʻe taha.
“Ko e mole hokohoko ʻe ono ʻoku meimei ʻikai lava ke hoko.”
ʻI he kulokula ʻoku hoko ia ʻi he 1.83% ʻo e ngaahi vahaʻa vilo ʻe ono. ʻI ha taimi vaʻinga ʻo e vilo ʻe 200 te ke faʻa sio ki ha hokohoko ʻe ono ʻo tuʻo taha pe lahi ange.

Meʻa fakaoli

Ngaahi ikuna siʻisiʻi lahi, mo ha mole lahi tātātaha ʻe taha. Pea ko koe tonu ʻoku ke totongi ʻa e moʻua.

Ngaahi ikuna siʻisiʻi lahi, mo ha mole lahi tātātaha ʻe taha. Pea ko koe tonu ʻoku ke totongi ʻa e moʻua.

Fakaʻosinga fakamatematikaʻOku fetongi ʻe he sisitemi Martingale ʻi he lulēti ha ngalingali lahi ʻo ha ikuna siʻisiʻi ki ha ngalingali siʻi ʻo ha mole lahi. Ko ha ʻinisiua ia kuo fakatau ʻo fakafoki: ʻoku ke tānaki ha totongi siʻisiʻi ʻi he lahi taha ʻo e ngaahi pō pea ko koe tonu ʻoku ke totongi ʻa e moʻua lahi tātātaha. ʻOku ne hiki hake ʻa e lahi ʻo e paʻanga ʻoku peti ʻi he taimi vaʻinga taki taha, ko ia ʻoku ne hiki hake ai ʻa e mole ʻamanekina ʻi he taimi vaʻinga taki taha. ʻOku ʻikai pea ʻe ʻikai lava ke ne fakasiʻisiʻi ʻa e tuʻunga lelei ʻo e kasino. Kapau te ke kei ngāueʻaki ha founga Martingale ʻi he lulēti, ʻiloʻi kimuʻa ʻa hoʻo tuʻunga maumau: ʻi ha peti tefito ʻo e $10 mo ha fakangatangata ʻo e $500, ko e mole hokohoko ʻe ono ia, ko ha meʻa ʻoku hoko ʻi he 1.8% ʻi he feinga taki taha. Sio ki he Puleʻi ʻo e paʻanga vaʻinga mo e Fakangatangata mole / fakangatangata ikuna.
ʻInisiua kuo fakatau ʻo fakafoki: ngaahi totongi siʻisiʻi ʻi he pō kotoa, pea ko e moʻua lahi tātātaha ʻoku totongi ʻe he tokotaha vaʻinga.