Tiny theoretical advantage play in baccarat

The BetVoyager casino has a baccarat game where the Player bet pays 1.0282. Six decks are used. The player advantage on the Player bet is 0.00023334. The catch is that the player must pay a 10% commission on any net gambling win per session. There is also a maximum gambling session time of 24 hours, but let's ignore that for the sake or argument. Let's also ignore the practical limitations of making multiple withdrawals of just one unit from an Internet casino. In other words, this is more of a math problem than a practical advantage play.

Maybe somebody can come up with a better strategy, but here is mine: Keep betting the Player until you're up one unit and then cash out. According to my math, it will take on average 1/0.00023334 = 3857.014567 bets to be up one unit. You then withdrawal your 0.9 units and start again. The overall advantage is 0.9/3857.014567 = 0.000210007.

Yes, I know 0.02% is not a practical advantage. The question at hand is can you come up with a better strategy?

What is the smallest unit one can bet? Do they round up fractional units or cents when cashing out?

Quote: DRich

What is the smallest unit one can bet? Do they round up fractional units or cents when cashing out?

I think 10 cents and they round to the nearest penny.

However, for the sake of argument, let's assume there is no minimum bet, unlimited bankroll, and they keep track of the balance as a decimal with unlimited precision.

And whoever voted for colitas, I'm waiting for the answer.

Quote: Wizard

The BetVoyager casino has a baccarat game where the Player bet pays 1.0282. Six decks are used. The player advantage on the Player bet is 0.00023334. The catch is that the player must pay a 10% commission on any net gambling win per session. There is also a maximum gambling session time of 24 hours, but let's ignore that for the sake or argument. Let's also ignore the practical limitations of making multiple withdrawals of just one unit from an Internet casino. In other words, this is more of a math problem than a practical advantage play.

Maybe somebody can come up with a better strategy, but here is mine: Keep betting the Player until you're up one unit and then cash out. According to my math, it will take on average 1/0.00023334 = 3857.014567 bets to be up one unit. You then withdrawal your 0.9 units and start again. The overall advantage is 0.9/3857.014567 = 0.000210007.

Yes, I know 0.02% is not a practical advantage. The question at hand is can you come up with a better strategy?

What is the exact definition of a session? Are you sure about the 24 hours thing? Intuitively it seems like you want to minimize your chances of losing sessions. If sessions could be infinitely long, you would always have winning sessions and just pay a tax on your winnings.

Quote: Wizard

I think 10 cents and they round to the nearest penny.

However, for the sake of argument, let's assume there is no minimum bet, unlimited bankroll, and they keep track of the balance as a decimal with unlimited precision.

And whoever voted for colitas, I'm waiting for the answer.

I didn't vote but my guess is .

Quote: randomperson

What is the exact definition of a session? Are you sure about the 24 hours thing? Intuitively it seems like you want to minimize your chances of losing sessions. If sessions could be infinitely long, you would always have winning sessions and just pay a tax on your winnings.

Yes. You can go to BetVoyager and it is mentioned in the help pages somewhere.

I think your "play as long as possible" strategy is equally as good mine, now that I think about it.

Is it a fresh deck/shoe for every new hand? If player starts off with an edge, no way that's not countable.

Quote: Mission146

Is it a fresh deck/shoe for every new hand?

Yes.

Quote: Wizard

However, for the sake of argument, let's assume there is no minimum bet, unlimited bankroll, and they keep track of the balance as a decimal with unlimited precision.

You have created a utopian world for Capt. Marty Martingale! Certainly with an unlimited bankroll and no maximum bet, the martingale would win units faster than your system. Although, the net win would be higher if one unit equaled infinity :-D.

Quote: surrender88s

You have created a utopian world for Capt. Marty Martingale! Certainly with an unlimited bankroll and no maximum bet, the martingale would win units faster than your system. Although, the net win would be higher if one unit equaled infinity :-D.

If Marty had an unlimited bankroll, then adding more money to it wouldn't increase it.