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 Originally Posted by MAX
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I just wanted to confirm- Using the Martingale method and starting at 1/7 stack will get you to double up more often then simply letting it ride on one hand, the difference being that you are afforded the opp. to split double when you are not ai. It makes more sense to me than the argument that you should bet half your stack so that you have the option to double/split. It also helps you reach the wager requirement quicker, as you will have played much more than 1x through your stack by the time you reach your goal. A nice little bonus that would tip the scales even if meeting your goal %s were even. But just to confirm, it is mathematically provable that using the Martingale method and starting at 1/7 will get you there more often?
Thanks for the great response.
Bet size does not change EV.
Changes in bet size changes Variance.
EV is not a real result, it is the top of a bell curve. With a sticky, we don't want the bell curve, we want the ends of the bell curve -- double or bust. Bet size does not change Expected Value.
Increases in variance will change a bell curve from this
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to this
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Changes in bet size changes variance, not expected value.
With a 1600WR and a $100 deposit, your EV is $92. You can make $1 bets or $40 bets, but the average win will be $92. Three hands or 1 hand, EV is $92. But we are talking about stickies here, so we are purposely messing with variance.
By jacking up the variance with a whole-stack bet, we are pressing the outcome to the extremes of the bell curve -- double or bust. [
The decreased betsize of the Martingale in the StickyOne method is merely to accomodate the double/split strategy of BlackJack. That is the only purpose. Because of the decrease betsize, you will have more frequent "average" results, closer to the EV of $92. So we keep going back at the bet, trying to push to the extremes of the bell curve, double or bust.
So, yes, you will bust less often with Martingale if you are willing to stop before you double up. Otherwise, you are merely working harder to achieve the desired result -- double or bust.
With these big stickies ($100/$200), the usual assumption is that a player wants to double up to $600 so they can w/d $400. A player can accept a lower target, say to push his stack to $400 so he can w/d $200. Then he certainly will bust less with a smaller bet size.
I usully avoid stickies, because I wish I could make my bell curve look like this
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or this
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