The first table is based on the Player bet in baccarat. Probability Doubling Bankroll - Probability of doubling the needed bankroll before going bust, assuming the player keeps starting over after each win.Average Wins per Loss - Number of units the player can expect to win between losses, assuming he keeps starting over after each session win or loss.Probability of Success - Probability of achieving winning goal.Bankroll Units - This is the ratio of bankroll size to winning goal.Maximum Bets - The number of losing bets you can afford to lose.The following tables show what you can expect to happen under different bets and bankroll sizes. Then, keep betting the lesser of (1) whatever would be needed for achieve a session win and (2) everything left until either ending marker is achieved. I suppose what most players would do is bet it all. I don't think there is an official procedure if the player doesn't have enough money to double his last losing bet, but still has some money. His fourth bet is $1,600, which loses.Let's look at an example of a player with a $100 winning goal and a bankroll of $6,300. No matter how many losses precede a win, you will achieve your winning goal exactly. As long as you can keep doubling, you will achieve your winning goal eventually. In other words, keep doubling your previous bet, until you win. If you can't double your bet because you're busted, then walk away broke.If the result of your last bet is a loss, then double your next bet size, if you can.If the result of your last bet is a win, then you have achieved your winning goal and may quit.Your first bet should be your winning goal.To make the math easy, the ratio of bankroll to winning goal should be one less than some power of 2.

The great the ratio of bankroll to winning goal, the greater your chances of a session success are. Start by deciding what your winning goal is and your bankroll size.The Martingale is generally played on even money bets.The following are the rules of the Martingale. However, everybody has a finite supply of money and eventually the Martingale will take down even the biggest of bankrolls. The siren's call of the Martingale has fooled many gamblers as it usually results in a session win. There can be little debate that the Martingale is one of the oldest and most popular betting systems.

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