Session ki Lambai aur Kharcha
Diye gaye stake par bankroll kitna chalta hai, aur ghanton ki keemat kya hai. Woh numbers jo zyadatar players kabhi nahi nikaalte aur zyadatar ko nikaalne chahiye.
Flat even-money betting, average mein, bankroll mein har stake ke liye 37 spins chalti hai, halaanki aadhe sessions usse pehle khatam ho jaate hain; har ghante ki expected keemat stake × spins per hour / 37 hai. Dono milkar aapko shaam shuru hone se pehle uski keemat lagaane dete hain.
Bankroll kitna chalta hai
BankrollpaisaBankrollKhelne ke liye alag rakhi gayi kul raqam. Bankroll management ka matlab hai tay karna ki har bet aur har session mein iska kitna hissa risk karna hai.Poora padhein → B aur flat even-money stake s ke saath, bankroll average mein har spin s/37 neeche khiskta hai aur har spin lagbhag s upar-neeche jhoolta hai. Akela khisakna hi average tay karta hai: bankroll 37 × B/s spins chalta hai, kyunki s/37 har spin ke hisaab se B haarne mein itna hi samay lagta hai. Jhoole lambaai ko asamaan banaate hain. Kuch sessions bure silsile mein jaldi khatam ho jaate hain, kuch bahut lambe chalte hain, aur median, yaani woh lambaai jahan tak aadhe sessions nahi pahunchte, average se neeche rehta hai. $10 par $500 ka bankroll (B/s = 50) average mein 1,850 spins aur median par 1,364 chalta hai, live table par lagbhag 27 ghante. $50 par (B/s = 10) median 136 spins hai, teen ghante se kam.
Ghanton ki keemat
Har ghante ka expected lossganitExpected lossExpected value guna kul lagayi gayi raqam; ek session ya ek muddat mein ausat nuksaan.Poora padhein → = stake × spins per hour / 37. Do numbers aapke haath mein hain: stake aur raftaar. 50 spins ek ghanta par $10 lagaane wala European table par $13.51 ek ghanta deta hai, French table par $6.76, speed table par $27. Tay kijiye ki roulette ka ek ghanta aapke liye kitne ka hai, stake usi se nikal aayega.
Dono ko saath jodna
$500 wala player jo 50-spin live table par chaar ghante ki shaam (200 spins) chahta hai aur bust nahi hona chahta, use lagbhag $25 se zyada stake nahi lagana chahiye (B/s = 20, median ruin 394 spins). Shaam ki expected keemat 200 × $25 / 37 = $135 hai. Agar $135 zyada hai, toh stake ghatta hai aur shaam ek saath surakshit aur sasti ho jaati hai: $10 par expected keemat $54 hai aur 200 spins se pehle ruin rare hai.
- p10 −$500
- p25 −$500
- median −$500
- p75 −$50
- p90 +$350
Straight-up sessions
Straight-upsbetStraight-upEk single number, payout 35:1.Poora padhein → ke liye utni hi lambi session ke liye stake chhota hona chahiye: har unitpaisaUnitBase stake jismein koi system ya player kaam karta hai. Progressions units mein batayi jaati hain taaki kisi bhi table par laagu hon.Poora padhein → par σ 5.84 hai, jabki redbetRed18 red numbers par even-money bet. French mein: rouge.Poora padhein → ke liye lagbhag 1, isliye bankroll ko lambe sookhe daur jhelne padte hain. 200 spins ke median ke liye red par lagbhag 13 B/s chahiye aur single number par lagbhag 56, yaani lagbhag chaar guna stakes. $500 ka bankroll jo median par straight-ups ke 200 spins chale, use lagbhag $9 ka stake chahiye. Jo players $500 se $25 ke straight-ups lagaate hain woh ek chhoti, shor-bhari shaam khareed rahe hain: lagatar bees miss use khatam kar dete hain, aur aisa zyadatar hota hai.
Imaandaar price list
Roulette ki keemat stake × spins / 37 hai. Baaki sab, system, lucky number, hedge, shaam ka roop tay karta hai, uski keemat nahi. Jo player pehle keemat nikaalta hai aur aisa stake chunta hai jise dene mein use khushi ho, usne strategy ka akela hissa kar liya jo kaam karta hai.
Formula
Sawaal
Exact nahi. Chhote bankroll ke liye jhoole haavi rehte hain aur median lagbhag (B/s)² ki tarah badhta hai, jaise fair coin ke liye. Bade bankroll ke liye edge haavi rehta hai aur median average, 37 × B/s, ke paas pahunchta hai. Lagbhag 20 stakes par (B/s)² rule sanyog se exact median, 394 spins, se mel khaata hai; usse neeche yeh kam batata hai aur upar zyada.
Yeh sabse bure case ki seema lagata hai aur session chhota karta hai, jisse expected loss na khele gaye spins ke anupaat mein kam hota hai.
Even-money betsbetEven-money betRed/black, odd/even, high/low. 18 numbers, payout 1:1.Poora padhein → par har ghante ki keemat aadhi karta hai aur average ruin time double, 74 × B/s spins tak.
Maths ke saath mazaa
Pehle khud try kijiye. Har solution chhupa hua hai; jab taiyaar hon tab kholiye.
Aap European wheel par redbetRed18 red numbers par even-money bet. French mein: rouge.Poora padhein → par $500 lagate hain, ek baar mein $10, bina kisi stop rule ke. Average mein bankrollpaisaBankrollKhelne ke liye alag rakhi gayi kul raqam. Bankroll management ka matlab hai tay karna ki har bet aur har session mein iska kitna hissa risk karna hai.Poora padhein → kitne spins chalta hai?
Solution dikhaiye
Jawab 1,850 spins: 50 stakes mein se har ek ke liye 37 spins.
Har spin average mein stake ka 1/37 leta hai: $10/37, lagbhag 27 cents. Bankroll mein 50 stakes hain, aur spin par stake ka 1/37 haarte hue 50 stakes haarne mein 50 × 37 = 1,850 spins lagte hain.
Utaar-chadhaav is average ko nahi badalte, kyunki session sirf zero par khatam ho sakta hai aur usse pehle har spin average mein wahi 27 cents leta hai. Woh phailaav badalte hain: aadhe sessions spin 1,364 tak khatam ho jaate hain, aur lagbhag bees mein ek 5,000 se aage jaata hai, jo average ko upar kheenchta hai.
Epstein (2013) general rule deta hai: aise house ke khilaaf jiske paise kabhi khatam nahi hote, z stakes ka bankroll z ko per spin edge se bhaag dene jitna chalta hai. American wheel par, jahan even money har spin stake ka 1/19 haarta hai, wahi $500 average mein 950 spins chalte hain.
Thodi hansi
Stake × spins / 37. Shaam shuru hone se pehle uski keemat lagaaiye.
Sources
- Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1.
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed.