Dabare Ruleet D'Alembert
Dabare ruleet D’Alembert ina ɓeyda inite wootere caggal majjere, ina itta wootere caggal dañal.
O fooltaa taarorde. Ko kanko woni jokkondiral paridabareJokkondiral pariKala sariya waylowo pari e njeñtuɗi ɓennuɗi. Jokkondiral caggal majjere ina ɓeyda pari caggal majjere, caggal dañal ina ɓeyda ɗum caggal dañal.Tar fof → anndaangal ɓurngal ɓeltude: pariiji ina ƴeŋa seeɗa seeɗa, jippuuji ina keertii, ɓural ngal kadi memaaka.
Yah e sistem ngoo
Majjere ina ɓeyda daawal gootal dow. Dañal ina rutta daawal gootal caggal.
Pariiji e njeñtuɗi ina limtee e initeeji pari fuɗɗoode.
Sistem ruleet D’Alembert, daawal e daawal
Waɗ pari initekaalisInitePari fuɗɗoode mo sistem walla fijoowo gollirta. Jokkondirɗe pari ina cifee e initeeji ngam ɗi kuutoroo e kala taabal.Tar fof → wootere. Si a majjii, pari garoowo ina ɓura inite wootere. Si a dañii, ina ustoo inite wootere, ɓurataa jippaade les gootal. Ɗum tan. Miijo e liggorde: majjere kala ina ƴeŋna pari oo seeɗa, dañal kala ina ruttina ɗum. Gomɗinal les ɗum ko dañe e majjere ina potta, ndaw pari oo ina ruttoo e fuɗɗoode. Welo mum ko ɗiɗi kala, dañal gootal e majjere wootere e pariiji takkondirɗi, ina ndokka +1 inite laaɓɗo: majjude 3, dañde 4, laaɓɗo +1.
Hol no jonnde nanndirta?
Newnde, e pari ƴeŋoowo seeɗa seeɗa. Tawa majjere ina ɓura dañe 19 e 18 e njoɓdi fotndi, pari oo ina ƴeŋa e jonnde juutnde. Sabu pari oo ina ɓuri toownude si a majjii, ina ɓuri leesde si a dañii, pari hakkundeejo e sahaaji majjere ina ɓura pari hakkundeejo e sahaaji dañe. Jonɗe ɗee ina ɓuri foodde MartingaledabareMartingaleJokkondiral pari ɓeydoowo pari ɗiɗi laabi caggal kala majjere. Ƴeew hello Dabareeji ngam anndude ko ngal waɗata e ko ngal waɗataa.Tar fof →, e jippuujikaalisJippugolJippugol immorde e toownde kaalis pari haa leɗɗinde garoyde nder jonnde wootere. Jippugol ɓurngol mawnude ko ngol ɓuri mawnude e jippuɗi ɗii.Tar fof → keertiiɗi, alaa ŋoral, kadi ina majjina seeɗa ina ɓura pari fotɗidabarePari fotɗiWaɗde pari gooto kala taarol. Ko ɗum kala jokkondiral pari kawrondirtee.Tar fof → e hakkundeere sabu pari hakkundeejo ina ɓuri mawnude.
- p10 −$500
- p25 −$500
- medyan −$500
- p75 −$500
- p90 −$500
Hol sistem D’Alembert ina golla?
Alaa. Jonnde fotnde ina daña, kono jonɗe keddotaake fotde. Caggal dañe w e majjere l e pariiji takkondirɗi, njeñtudi laaɓndi ndii ko w − l initeeji ɓeydaa peewnugol ngam nokku mo ngonnoɗaa e daawle ɗee. Si w = l njeñtudi ndii ko +w initeeji tigi, ina nanndi e dañal hoolaaɗo. Caɗeele ndee ko w = l wonaa ko fodaa: e taarle 37 ko fodaa ko dañe 18 e majjere 19. Majjere ɓeydiinde wootere e pari ƴeŋiiɗo, wiyen, haa initeeji 8 ina ɓura coggude ɗiɗi +1 jeetati. Ko fodaa ina wona −1/37 kaalis pariyaaɗo fofkaalisKaalis pariyaaɗo fofKawrital kaalis pariyaaɗo nder jonnde walla sahaa, limtaa kadi kaalis dañaaɗo pariyaaɗo kadi. Ina noddee kadi: handle, action.Tar fof →, hono no haani.
Ko waɗi jonɗe raɓɓiɗɗe ina keewi dañde?
Jonnde fotnde ko geɗal doosgol gootol mo jonnde kala jeyaa. Noddu D limoore majjere ittaa limoore dañe. Jonnde taarle N fuɗɗiinde e inite wootere ina timmoo e (N − D²)/2 − D initeeji, si tawii alaa pari inite wootere dañi (caggal ndeen dañal pari oo alaa ɗo jippotoo). E D = 0 ɗum ko +N/2, +w geɗal dow ngal. Majjere ɓeydiinde kala ina hiisee e kaare: caggal taarle 100, D 4 ina accee +38 initeeji, D 8 ina accee +10, D 10 ina accee −10. Sahaa tan ina saŋkita D hedde √N, sappo caggal taarle 100, e fijo mo alaa seerotaarordeSeeroSuudu haako wootere nde hay pari njoɓdi fotndi, sappo e ɗiɗi walla kolon kuuɓataa; ko ɗum woni iwdi ɓural kasino. Ina noddee kadi: seero gooto, 0.Tar fof → dañe jonɗe fotɗe keewɗe e majjere jonɗe ooñiiɗe seeɗa ina momtondira tigi. Seero ina ɓeyda majjere wootere e taarle 37 kala e hakkundeere, kadi sabu D ina hiisee e kaare coggu mum ina ɓura jonnde ndee yaawde mawnude. Ko ɓuri heewde e jonɗe haa taarle 100 ina timmoo e dañal; hakkundeere ndee wonataa ɗum abada, kadi caggal taarle teemedde seeɗa ko ɓuri heewde e jonɗe ina majja kadi.
Hol si a huccitinii ɗum?
Contra-D’Alembert, wiyeteendi kadi D’Alembert huccitinaaɗo, ina ɓeyda inite caggal dañal ina itta wootere caggal majjere. Ina ndaarora jokkondiral asli ngal tigi. Si tawii alaa pari inite wootere majji, jonnde taarle N ina timmoo e (D² − N)/2 + D initeeji, ɗo D jonta ko dañe ittaa majjere. Jonnde fotnde ina majjina feccere inite e taarol kala, ko jokkondiral dañe ɓurɗe majjere no feewi tan addata dañal. Ndaw ko ɓuri heewde e jonɗe ina majja seeɗa, seeɗa e majje ina daña no feewi, ko huccondiri e mbaadi asli ndii, hakkundeere ndee ko 2,70% ngootiri kaalis pariyaaɗo.
Hol gonnoo d’Alembert?
Jean le Rond d’Alembert, gannduɗo hiisa e winndoowo-kawtoowo Encyclopédie, wiyi e winndannde hitaande 1754 wonde caggal hoore keewnde, laawol goɗngol ina ɓura heewde sahaa. O juumii, juumre jogiinde innde mum ndee ko mbaadi juumre fijoowo kaalis. Sistem D’Alembert e ruleet innaa ko e mum caggal ɗum, ko fijooɓe kaalis gomɗinɓe ɗum. Wonaa kanko sosi ɗum, tawde kadi o jaɓataano ɗum.
Hol mbaadiiji goɗɗi ina ngoodi?
Contra-D’Alembert, dow, ina waɗa hono ParolidabareParoliJokkondiral pari caggal dañal: ɓeydu pari ɗiɗi laabi caggal dañal, ruttu e fuɗɗoode caggal majjere walla caggal dañe tati jokkondirɗe. Ina noddee kadi: Martingale huccitinaangal.Tar fof → newɗo. Fijooɓe goɗɓe ina ɓeyda initeeji ɗiɗi caggal majjere, ina itta wootere caggal dañal, ɗum ina toownina daawle ɗee faade e Martingale. Mbaadiiji ɗii fof ina njogii majjere fodaandematematikMajjere fodaandeNjaru fodaandu fiyaandu e kaalis pariyaaɗo fof; ko hakkundeere kaalis majjataako nder jonnde walla nder sahaa.Tar fof → wootere e inite kala pariyaande.
Simulateer · D'Alembert
Jonɗe 2 000 pariiji njoɓdi fotndi, fuɗɗoraade kaalis pari $1 000.
Pari fuɗɗoode $10 · keerol taabal $500 · taarle 100 e kala jonnde
No majjereeji jokkondirɗi ngarirta sahaa kala
Pari njoɓdi fotndi e taarorde seero gooto ina majja taarle 19 e 37. Kala gongol ko porobabilite kala taarle jokkondirɗe limtaaɗe majja, e ko fijoowo D’Alembert, ɓeydoowo pari fuɗɗoode gooto caggal kala majjere, majjini haa ndeen.
| majjereeji jokkondirɗi | sahaa | hedde 1 e | majjinaaɗo haa jooni | pari garoowo |
|---|---|---|---|---|
| 1 | 51,4% | 2 | $1 | $2 |
| 2 | 26,4% | 4 | $3 | $3 |
| 3 | 13,5% | 7 | $6 | $4 |
| 4 | 7,0% | 14 | $10 | $5 |
| 5 | 3,6% | 28 | $15 | $6 |
| 6 | 1,8% | 55 | $21 | $7 |
| 7 | 0,94% | 106 | $28 | $8 |
| 8 | 0,48% | 207 | $36 | $9 |
| 9 | 0,25% | 403 | $45 | $10 |
| 10 | 0,13% | 784 | $55 | $11 |
| 11 | 0,065% | 1527 | $66 | $12 |
| 12 | 0,034% | 2974 | $78 | $13 |
| 13 | 0,017% | 5792 | $91 | $14 |
| 14 | 0,0089% | 11279 | $105 | $15 |
| 15 | 0,0046% | 21965 | $120 | $16 |
Porobabilite ndee ko 19/37 fiilaaɗo e hoore mum laabi foti e majjereeji, limtaaɗi gila e taarol gootol anndaangol. Jonnde juutnde ina jogii taarle keewɗe ɗe jokkondiral ngal waawi fuɗɗaade, ɗum noon e nder kikiiɗe gootol ina ɓuri wonde no feewi ko gongol gootol hollata.
Naamne
Alaa ŋoral, ɗum ina waɗa ɗum jokkondiral ɓeydagol caggal majjere ɓurngal newde. Ɓuraani hoyde pari fotɗi; ina ɓuri coggude seeɗa.
Ko keerol taabaltaabalKeerol taabalPari ɓurɗo famɗude e ɓurɗo mawnude jaɓaaɗo. Keerol dow ngol ko ngol dartinta jokkondirɗe pari ɓeydooje ɗiɗi laabi.Tar fof → walla kaalis parikaalisKaalis pariKaalis fof ko seŋaa ngam fijde. Toppitagol kaalis pari ko ñaawde ko foti waɗeede e kala pari e kala jonnde.Tar fof → maa tan. E jonnde majjere juutnde ina ƴeŋa tawa daraani.
Weltaare e Matematik
Etu ɗum hoore maa adii. Kala jaabawol ina suuɗii; uddit ɗum so a heblii.
A fijii D’Alembert e boɗeerepariBoɗeerePari njoɓdi fotndi e limooje 18 boɗeeje. E Farayse: rouge.Tar fof → taarle 50, fuɗɗorii e initekaalisInitePari fuɗɗoode mo sistem walla fijoowo gollirta. Jokkondirɗe pari ina cifee e initeeji ngam ɗi kuutoroo e kala taabal.Tar fof → wootere, a dañaani fey pari inite wootere (caggal dañal nii pari ngal alaa ɗo jippotoo). A gasiri majjeeje 27 e dañe 23. Initeeji njelu ɓeydi-ɗaa walla ustii-ɗaa? E majjeeje 29 e dañe 21 kadi?
Hollu jaabawol ngol
Jaabawol +13 initeeji e majjeeje 27, −15 initeeji e 29. Taarle ɗiɗi e nder capanɗe joy yahrugol laawol goɗngol ina coftina initeeji 28.
Noddir D majjeeje ɗee ustaa dañe ɗee. Njeñtudi ndii ko (N − D²)/2 − D ngam taarle N. E majjeeje 27 e dañe 23, D = 4: (50 − 16)/2 − 4 = 17 − 4 = +13. E 29 e 21, D = 8: (50 − 64)/2 − 8 = −7 − 8 = −15.
Ko waɗi sariya oo ina tabi: pari ngal ko sahaa fof inite wootere ɓeydaa majjeeje haa jooni ustaa dañe haa jooni. Kala majjere nde dañal garoowal mumtata ina waɗa ɗiɗal, majjin s ndeen daña s + 1, ɗum ina addi +1 inite laaɓɗo, hono no tabalo dow oo hollirta. E nder taarle N, ɗiɗe (N − D)/2 nii ina njeewta, ɗe poti +(N − D)/2. Majjeeje D heddiiɗe ɗee waɗaama e pariiji 1, 2 … D e laawol ƴentagol, mumtaaka fey; ɗe coftini 1 + 2 + … + D = D(D + 1)/2. Kawral: (N − D)/2 − D(D + 1)/2 = (N − D²)/2 − D.
Kaare ndee ko haala kaa fof. Jonnde fotnde ina yoɓa feccere inite e kala taarol, kala taaɓal woɗɗungal e fotde ina ɓuri coftinde ngal arti ngal.
A fijii D’Alembert huccitinaangal e boɗeere taarle 100, fuɗɗorii e inite wootere, hay pari inite wootere majjaani fey. A gasiri dañe 52 e majjeeje 48. Hoto ngonɗaa? E dañe 60 e majjeeje 40 kadi?
Hollu jaabawol ngol
Jaabawol −38 initeeji e dañe 52, +170 e 60. Ɓural famɗungal e dañe ina majjina tan; ko ɓural mawngal tan yoɓata.
Noddir D dañe ɗee ustaa majjeeje ɗee. Njeñtudi ndii ko (D² − N)/2 + D ngam taarle N.
Dañe 52 e majjeeje 48: D = 4, ɗum waɗi (16 − 100)/2 + 4 = −42 + 4 = −38.
Dañe 60 e majjeeje 40: D = 20, ɗum waɗi (400 − 100)/2 + 20 = 150 + 20 = +170.
Ko waɗi: kala dañal ngal majjere garoore mumtata ina waɗa ɗiɗal, daña e s ndeen majja e s + 1, ɗum ina addi −1 laaɓɗo. Dañe D heddiiɗe ɗee waɗaama e pariiji 1, 2 … D e laawol ƴentagol, mumtaaka fey; ɗe ngaddi D(D + 1)/2. E nder taarle N, ɗiɗe (N − D)/2 ina njeewta, ɗum waɗi kawral ngal ko D(D + 1)/2 − (N − D)/2 = (D² − N)/2 + D.
Ɗum ko sariya D’Alembert asliijo oo tawa maandeeji ɗii mbaylitaama: toon, fotde ina daña feccere inite e kala taarol, ko fotaani ina lebtee; ɗoo, fotde ina coftina feccere inite e kala taarol, ko fotaani ina njoɓee.
Ƴeewndo weltinoowo
Innaa ko e gannduɗo hiisa mo juumii e kaalis ɓiifaaɗo.
Iwdi
- RouletteDoc. Siforgol dabare e misalji.
- Roulette77. Siforgol dabare e misalji.
- d’Alembert, J. “Croix ou pile.”
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed.