Misali: jerin wasa da Paroli
Dala goma a kan baƙi, ana ninka su bayan kowace nasara, ana ajiye su bayan nasara uku a jere. Martingale na baya-baya, juyi bayan juyi.

Zaman wasa na kwaikwayo na Paroli mai juye-juye 80. Asara goma sha uku a juyi na farko, jeri ashirin da huɗu da suka karye da kuma nasara uku a jere sau uku da suka biya $70 kowanne. Sakamakon tsaf −$160 bayan an kai riba ta $50. Tsarin da ke yawan asara kuma ba kasafai yake cin nasara ba, a daidai siffar da lissafi ya yi hasashe.
Ku bi tsarin mataki-mataki
Nasara tana matsawa mataki ɗaya gaba. Asara, ko nasara ta uku, tana komawa farko.
Kuɗin caca da sakamako suna cikin raka'o'in cacar tushe.
Shirin
A sa $10 a kan baƙicacaBaƙiCacar ɗaya zuwa ɗaya (even-money) a kan lambobi baƙi 18. A Faransanci: noir.Karanta gaba ɗaya →. Bayan nasara, a bar $20 ɗin a kan tebur. Bayan nasara ta biyu, a bar $40 ɗin. Bayan nasara ta uku, a ɗauke $80 ɗin a sake farawa da $10. Asara a ko'ina tana mayar da shi zuwa $10. Kowane ƙoƙari yana kasada da $10 na kuɗinmu kuma yana cin $70 idan baƙi ya fito sau uku a jere, wanda ke faruwa a kashi (18/37)³ = 11.5% na lokaci. Muna tsammanin kusan jeri ɗaya da zai kammala a cikin ƙoƙari tara.
Juye-juye 1–25
J B B J J B J B B J B B J J B J 0 B B B B J B B J. Ƙoƙari goma sha biyu: huɗu sun yi asara a juyi na farko (−$10 kowanne, ɗaya daga cikinsu a sifilidabaranSifiliRamin kore guda ɗaya da babu cacar ɗaya zuwa ɗaya, ta dozin ko ta ginshiƙi da ke rufe shi; tushen fifikon gidan caca. Ana kuma kiransa: sifili ɗaya, 0.Karanta gaba ɗaya →), uku sun yi asara a juyi na biyu (−$10 kowanne, domin $20 ɗin kuɗin gidan caca ne tare da namu), huɗu sun yi asara a juyi na uku (−$10 kowanne, haka nan), nasara uku a jere ɗaya ta kammala a juye-juye 18–20 (+$70). Sakamakon tsaf −$40. Jerin da ya kammala ya ji kamar hujja. Gazawa goma sha ɗaya ɗin ba su ji kamar komai ba, kuma wannan ne manufar tsarin.

Juye-juye 26–55
Ƙarin nasara uku a jere biyu, a juye-juye 28–30 da 37–39, kowacce ɓangare ce ta jerin baƙi huɗu da muka ɗauki kuɗi bayan uku: baƙi na huɗu ya ci sabon $10 ɗin, jacacaJaCacar ɗaya zuwa ɗaya (even-money) a kan lambobi ja 18. A Faransanci: rouge.Karanta gaba ɗaya → na gaba kuma ya ɗauki $20 ɗin. Ƙoƙari goma sha biyar, sakamakon tsaf a wannan ɓangare +$10; jimilla ya zuwa yanzu −$30; mafi girma +$50 a juyi na 39. Nasara uku a jere sau uku a ƙoƙari 27 daidai yake da 3.1 da ake tsammani; a lokacin mafi girma zaman wasan yana da riba ta $50 kuma yana ji kamar hanyar cin nasara.
- p10 −$780
- p25 −$510
- tsakiya −$210
- p75 +$90
- p90 +$370
Juye-juye 56–80
Ƙoƙari goma sha uku masu asara a jere, tara daga cikinsu a juyi na biyu ko na uku inda jerin ya ƙare da rashin baƙi ɗaya ko biyu. Sakamakon tsaf −$130 a wannan ɓangare; ƙarshe −$160. Jerin gazawar yana da yiwuwarlissafiYiwuwaDamar faruwar wani sakamako, daga 0 zuwa 1 ko daga 0% zuwa 100%. Lamba ɗaya: 1/37 = 2.70%.Karanta gaba ɗaya → kusan 20%, wato zai faru ga ɗan wasan ParolidabaraParoliJerin ƙarin caca bayan nasara: a ninka bayan nasara, a koma farko bayan asara ko bayan nasarori uku a jere. Ana kuma kiransa: reverse Martingale.Karanta gaba ɗaya → kusan sau ɗaya a cikin kowane zaman wasa biyar masu wannan tsawo.
Lissafin kuɗi
Jimillar caca $1,460 a juye-juye 80, idan aka kwatanta da $800 ga wanda ke caca daidai-wa-daida da $10: barin kuɗi a kan tebur yana ƙara jimillar cacakuɗiJimillar cacaJimillar kuɗin da aka yi caca da su a cikin zaman wasa ko wani lokaci, har da kuɗin da aka ci aka sake sawa. Ana kuma kiranta: handle, action.Karanta gaba ɗaya →. Asarar da ake tsammanilissafiAsarar da ake tsammaniƘimar da ake tsammani sau jimillar kuɗin da aka yi caca da su; matsakaicin adadin da ake rasawa a cikin zaman wasa ko wani lokaci.Karanta gaba ɗaya → a kan $1,460 ita ce $39; ainihin −$160 yana ƙasa da standard deviationlissafiStandard deviationTushen murabba'i na bambancin sakamako; nisan da sakamako ke yawan yi daga ƙimar da ake tsammani.Karanta gaba ɗaya → ɗaya, ba abin mamaki ba ne. Wanda ke caca daidai-wa-daida a gefenmu yana da abin da ake tsammani iri ɗaya a kowace dala, da sakamakon da sauyinsa kusan rabin namu ne.
Abin da zaman wasan ya nuna
Paroli shi ne MartingaledabaraMartingaleJerin ƙarin caca da ke ninka caca bayan kowace asara. Ku duba sashen “Dabarun caca na roulette” don ganin abin da yake yi da wanda ba ya yi.Karanta gaba ɗaya → da aka juya: yana rasa raka'akuɗiRaka'aKuɗin caca na tushe da tsari ko ɗan wasa ke aiki da shi. Ana bayyana jerin ƙarin caca a raka'a don su yi aiki a kowane tebur.Karanta gaba ɗaya → ɗaya a mafi yawan lokaci kuma yana cin raka'a bakwai lokaci-lokaci, maimakon cin raka'a ɗaya a mafi yawan lokaci da rasa sittin da uku lokaci-lokaci. Rarrabuwar sakamakon ba ta da haɗari sosai domin babban adadin nasara ce, ba asara ba, kuma kuɗin caca ba ya taɓa wuce $40 wanda $10 kawai daga ciki namu ne. Asarar da ake tsammani a kowace dala ba ta canza ba. Shi ne tsari mafi kyau ga ɗan wasan da yake son bambancin sakamakolissafiBambancin sakamakoMa'aunin yadda sakamako ke yaɗuwa a kewayen ƙimar da ake tsammani. Yana da girma ga straight up, ƙanƙanta ga cace-cacen ɗaya zuwa ɗaya.Karanta gaba ɗaya → ba tare da faɗuwa kwatsam ba, kuma har yanzu yana jawo asarar 2.70% na jimillar caca.
Tambayoyi
Huɗu a jere 5.6% ne kuma yana biyan $150. Burin ɗanɗano ne kawai; fifikon gidan caca iri ɗaya ne a kowane buri.
A'a. Bayan nasara ɗaya, $20 da ke kan tebur naku ne. Paroli yana ji kamar mai arha domin rasa kuɗin da aka bari a kan tebur ba ya kama da rasa kuɗinku na kanku. Amma kuɗinku ne kuka rasa.
Abin da ake tsammani iri ɗaya, kuɗin caca mafi girma ƙarami, babu faɗuwa saboda iyakar teburi. Ya fi ta kowace hanya sai wadda ke da muhimmanci, wadda ba ta canza ba.
Ɗan barkwanci

Ƙaramar asara sau da yawa, babbar nasara ba kasafai ba. Kishiyar Martingale, kuma farashi iri ɗaya.
Majiyoyi
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.