fred_in_hoboken said:Well, if you continually double your bet, assuming you have some chance of winning (and assuming your opponent allows you to keep going), you will eventually win back your original bet.
B*2^n - sum(from i=0 to n-1)[B*2^i] = B
(eg -2 -4 -8 -16 -32 -64 -128 +256 = 2)
The decision becomes an evaluation of the odds of running out of money before winning. If Player B's odds of winning are about 1 in 10, he has a slightly better than 50% chance of winning within 7 or less games.
I imagine this is a primary reason for maximum bets at casinos. I bet there is a correlation between the difference between the minimum bet, the maximum bet, and the game's odds.
This is exactly the system I use on roulette... You can walk away a winner every time... Betting red/black or even/odd.