
Originally Posted by
;
Ummm, you forgot to lay down your $640 bet.
Your actual cash flow looks like this:
Bet $10, shed it, complete loss = $10
Bet $20, lose it, complete loss = $30
Bet $40, lose it, total loss = $70
Bet $80, lose it, total loss = $150
Bet $160, lose it, total loss = $310
Bet $320, lose it, total loss = $630
At this point your wallet is lighter by $630. Now wager $640 and you decide to double. So you lay down this wager. Your wallet is currently lighter by $1270.
Now if you win, you get your original $640 back plus an additional $640 in winnings. The dealer hands you $1280.
You are now ahead by only $10, or just one unit. To observe the equation for why this can be obviously so, see my post right before this one.