Cherry7Up said:
In theory the rate of winning/losing should correlate with the count of a deck (that is the whole point of counting). As a result, a progression betting system that is based on that rate should have the potential to increase expected value.
However, rather than using win/loss rate as an imperfect, indirect proxy for the count, I would expect that any betting system would be more successful if based directly on the count instead.
But this is where you are wrong. Counting in fact does not really increase the win/loss rate it just lets you know when more bj's and pat hands are comming your way. And no progression system can overcome the house edge or increase your EV.
Any type of system that uses only a betting strategy to win will ultimately fall trap of basic math. To prove this three experiments were conducted and validated by (Dead link: http://www.thewizardofodds.com) to prove the HE could not be overcome by any strategy based solely on betting systems.. The experiment was conducted on a computer simulation of a single zero European roulette wheel HE=.052632. Player one did not use a betting strategy he simply flat bet the same amount every single time $1. The second player used a progression strategy where he would bet $1 after a win he would raise his bet by a single dollar a loss would drop the bet back to $1 and restart the series. Player three started at $1 as well used the double up strategy where after a losing bet of $x he would bet $2x (the Martingale). A winning bet would constitute the end of a series and the next bet would be $1.
After 1,000,000,000 rounds the results were as follows.
Player 1
Total amount wagered = $1,000,000,000
Average wager = $1.00
Total loss = $52,667,912
Expected loss = $52,631,579
Ratio of loss to money wagered = .052668
Player 2
Total amount wagered = $1,899,943,349
Average wager = $1.90
Total loss = $100,056,549
Expected loss = $99,997,018
Ratio of loss to money wagered = .052663
Player 3
Total amount wagered = $5,744,751,450
Average wager = $5.74
Total loss = $302,679,372
Expected loss = $302,355,340
Ratio of loss to money wagered = .052688
As you can see the ratio of loss to money wagered is always extraordinarily close to the normal house edge of ~.052632 by 1/19. By these results you can conclude that the more you wager the more you will lose over time no matter what. With a System that doubles up after a loss you are betting substantially more (~574% or $4,744,751,450 ) you are bound to lose at a devastating level.