Roulette Expected Value
Roulette expected value kisi bet ka average nateeja hai agar aap use hamesha dohra sakein. European roulette mein yeh har standard bet ke liye same hai: aap average mein har spin har stake ka 1/37 haarte hain.
Seedhi bhasha mein
Sochiye ki aap red par wahi $10 bet das lakh baar lagate hain. Kuch spins $10 jeette hain, kuch $10 haarte hain. Har nateeja jodiye aur das lakh se bhaag dijiye: lagbhag −$0.27 milta hai. Yahi number roulette bet ki expected value hai. Yeh kisi ek spin par nahi hota; yeh long run mein har spin ka average hai.
Roulette bet ke EV ka formula
p = n/37 · W = S·(36/n − 1) · n = cover kiye numbers · S = stake
Roulette payout rule, 36/n − 1, rakh dijiye aur n kat jata hai. House edge ki poori kahani ek line mein:
= S·(36 − n − 37 + n)/37
= −S/37
Try karein: roulette expected value calculator
Chuniye ki bet kitne numbers cover karti hai. Probability aur payout badalte hain; expected value nahi.
Samay ke saath yeh kaisa dikhta hai
$10 red bet ka har spin average nateeja, jaise-jaise spins judte hain. Shuru mein kismat haavi hoti hai; sample badhne ke saath chalta average −$0.27 ki taraf tik jata hai. Yahi long-run convergence hai jis par house bharosa karta hai.
Aam galatfehmiyan
Thodi hansi
Ek spin par jo hota hai woh nahi. Sabka average.