Expected value inna roulette
Roulette expected value a di average result a a bet if yuh coulda repeat it fi eva. Inna European roulette it di same fi evry standard bet: yuh lose 1/37 a evry stake, pon average, evry spin.
Inna plain talk
Imagine seh yuh put di same $10 bet pon red one million time. Some spin win $10, some lose $10. Add up evry result an divide by one million: yuh get bout −$0.27. Dat numba a di expected value a a roulette bet. It nuh a wah happen pon any one spin; a di long-run average fi evry spin.
Di formula fi di EV a a roulette bet
p = n/37 · W = S·(36/n − 1) · n = numba weh di bet cover · S = stake
Put inna di roulette payout rule, 36/n − 1, an di n cancel out. Dat a di whole story a di house edge inna one line:
= S·(36 − n − 37 + n)/37
= −S/37
Try it: a calculator fi roulette expected value
Pick ow much numba di bet cover. Di probability an payout change; di expected value nuh change.
Wah it look like ova time
Average result per spin fi a $10 bet pon red, as di spin dem add up. Inna di beginnin, luck rule; di runnin average settle toward −$0.27 as di sample grow. Dis a di long-run convergence weh di house depend pon.
Wrong idea weh people have
Sumting fi laugh
Nuh wah happen pon one spin. Di average a all a dem.