spino1i
10-09-2006, 07:39 PM
I got offered a 500$ "free chip" from Bet Royal. I already have 4800$ in Bet Royal Casino but none of it really matters. The way the "free chip" works is this: you have to wager 17500$ to cash out anything. Once youve wagered 17500$ the most you can cash out is your original amount (4800$) plus 500$. So if I make an extra 1000$ while clearing the bonus that dissapears.
However, if I lose the 500$, the wagering requirement goes away and there are no restrictions on my 4800$. Obviously if you wanted to maximize EV on the bonus you would flat bet 1$ a hand the whole way through. It would also probably take a century and a half. Suppose you dont care about variance. Whats the best betting pattern (assuming your playing playtech blackjack) to maximize EV per bet on this bonus?
Assume the excess money you make dissapears once youve completed the wagering req for the bonus, and the leftover 500$ is yours to keep. If you lose less than 500$, you just keep the remaning portion of the bonus. Also suppose the lowest amount of bets your willing to do is 1000 bets. (but theres no cap on the maximum number of bets).
I know guys its a confusing math problem, probably not worth answering since it involves integrating the bell curve function and then plugging it into another multivariable function and maximizing its value.
However, if I lose the 500$, the wagering requirement goes away and there are no restrictions on my 4800$. Obviously if you wanted to maximize EV on the bonus you would flat bet 1$ a hand the whole way through. It would also probably take a century and a half. Suppose you dont care about variance. Whats the best betting pattern (assuming your playing playtech blackjack) to maximize EV per bet on this bonus?
Assume the excess money you make dissapears once youve completed the wagering req for the bonus, and the leftover 500$ is yours to keep. If you lose less than 500$, you just keep the remaning portion of the bonus. Also suppose the lowest amount of bets your willing to do is 1000 bets. (but theres no cap on the maximum number of bets).
I know guys its a confusing math problem, probably not worth answering since it involves integrating the bell curve function and then plugging it into another multivariable function and maximizing its value.