The Improved Martingale Betting System

[Charley1945]

According to all of the experts, negative and positive progressions do not work.   It has  been mathematically proven that the favored house percentages beat any betting system in the long run!

So when are the experts going to at least tell us what works in the short run?

As far as I am concerned, all betting systems probably would work favorably most of the time in the short run.  And by the short run I mean approximately up to 125 spins on a one zero roulette wheel. If a player has had the good luck to win 10% of their bankroll within this number of spins, perhaps it would be a good time to cash in the chips and move to another table. Check out this article on playing too long by and at:
Martin, Frank A. (February 2009). "What were the Odds of Having Such a Terrible Streak at the Casino?".

I just finished reading some 25 to 50 articles about the martingale betting system.  Every author has the same thing to say...it won't work because of the low table limit and lack of sufficient funds and of course, that it is impossible to win in the long run!

Back to the short run...Question: What can possibly be better than  the martingale betting system?  Answer: The improved martingale betting system... as many more bets can be placed!

The beauty of the martingale system, and I assume the majority of its variations, guarantees the potential of recovering all loses with every bet that is placed and also a profit when the numbers bet on hit! The secret is to find a way to work within the perimeters of the high minimum and low maximum table limits.

It appears that I have come up with a method of doing just that and I am going to share it with the readership of this forum! This is an article that I have  been preparing for Wikipedia:

There has been an improvement to the martingale betting system. More bets can be placed!
A 3 x 1 or higher payout propositions, plus an original bet of 1 unit gives a total payout number. This number is used to determine the number of bets that can be placed in the first betting sequence. The bets that can be placed in the second and following betting sequences should never exceed 1/2 of those bets used in the first sequence. If there are no wins in the first sequence, the original bet is doubled in each of the additional sequences used until the betting limit, 50, is reached. Whenever there is a win, the betting restarts at Bet 01 of Sequence 1.
3 x 1 + 1 = 4 (15 Bets with a 50 unit limit)
Sequence 1:
Bet 01. Bet 1 unit; When there is a loss - 1; When there is a win 3 x 1 + 1 = + 4 units, the 1 unit bet is recovered with a profit of 3 units.
Bet 02. Bet 1 unit; When there is a loss - 1 + - 1 = - 2; When there is a win 3 x 1 + 1 = + 4 units, the 2 units bet are recovered with a profit of 2 units.
Bet 03. Bet 1 unit; When there is a loss - 1 + - 2 = - 3; When there is a win 3 x 1 + 1 = + 4 units, the 3 units bet are recovered with a profit of 1 unit.
Bet 04. Bet 1 unit; When there is a loss - 1 + - 3 = - 4; When there is a win 3 x 1 + 1 = + 4 units, the 4 units bet are recovered with no profit.
Sequence 2:
Bet 05. Bet 2 units; When there is a loss - 2 + - 4 = - 6; When there is a win 3 x 2 + 2 = + 8 units, the 6 units bet are recovered with a 2 unit profit.
Bet 06. Bet 2 units; When there is a loss - 2 + - 6 = - 8; When there is a win 3 x 2 + 2 = + 8 units, the 8 units bet are recovered with no profit.
Sequence 3:
Bet 07. Bet 4 units; When there is a loss - 4 + - 8 = - 12; When there is a win 3 x 4 + 4 = + 16 units, the 12 units bet are recovered with a 4 unit profit.
Bet 08. Bet 4 units; When there is a loss - 4 + - 12 = - 16; When there is a win 3 x 4 + 4 = + 16 units, the 16 units bet are recovered with no profit.
Sequence 4:
Bet 09. Bet 8 units; When there is a loss - 8 + - 16 = - 24; When there is a win 3 x 8 + 8 = + 32 units, the 24 units bet are recovered with an 8 unit profit.
Bet 10. Bet 8 units; When there is a loss - 8 + - 24 = - 32; When there is a win 3 x 8 + 8 = + 32 units, the 32 units bet are recovered with no profit.
Sequence 5:
Bet 11. Bet 16 units; When there is a loss - 16 + - 32 = - 48; When there is a win 3 x 16 + 16 = + 64 units, the 48 units bet are recovered with a 16 unit profit.
Bet 12. Bet 16 units; When there is a loss - 16 + - 48 = - 64; When there is a win 3 x 16 + 16 = + 64 units, the 64 units bet are recovered with no profit.
Sequence 6:
Bet 13. Bet 32 units; When there is a loss - 32 + - 64 = - 96; When there is a win 3 x 32 + 32 = + 128 units, the 96 units bet are recovered with a 32 unit profit.
Bet 14. Bet 32 units; When there is a loss - 32 + - 96 = - 128; When there is a win 3 x 32 + 32 = + 128 units, the 128 units bet are recovered with no profit.
Limit Bets:
Bet 15. Bet 50 units; When there is a loss - 50 + - 128 = - 178; When there is a win 3 x 50 + 50 = + 200 units, the 178 units bet are recovered with a 22 unit profit.
(Bet 16. Bet 50 units; When there is a loss - 50 + - 178 = - 228; When there is a win 3 x 50 + 50 = + 200 units, 200 units are recovered but with a loss of - 28 units.)
When using the martingale betting system with the same 3 x 1 + 1 = 4 total payout example, 6 bets can be doubled consecutively up to 32 units. An additional 3 bets can be placed by using the limit maximum of 50 units: Bet#1. Bet 1 unit; Bet#2. Bet 2 units; Bet#3. Bet 4 units; Bet#4. Bet 8 units; Bet#5. Bet 16 units; Bet#6. Bet 32 units; Bet#7. Bet 50 units; Bet#8. Bet 50 units. Up to this bet, positive results are made when any of the numbers bet on hit. Bet#9. Bet 50 units. From this bet forward, there are negative results when any of the numbers bet on hit. Nine bets with an investment of - 213 units can be placed. Using the above format, the improved martingale betting system allows for 16 bets to be placed with an investment of approximately the same amount, - 228 units.
When using the above format with a few of the inside bets of roulette, the number of wagers that can be placed increase as the total payout gets higher:
1. Play 6 numbers: 5 x 1 + 1 = 6:
6 bets can be doubled up to 32 units. An additional 5 bets can be placed by using the limit maximum of 50 units. 11 bets with and investment of - 313 units can be placed with the martingale. Using the improved martingale, 24 bets can be placed with an investment of approximately the same amount of - 342 units.
5 x 1 + 1 = 6 (23 Bets with a 50 unit limit.)
S 1: Bet 1 unit up to 6 times; lose up to - 6, no win - 6; any win + 6.
S 2: Bet 2 units up to 3 times; lose up to - 6, no win – 12; any win + 12.
S 3: Bet 4 units up to 3 times; lose up to - 12, no win – 24; any win + 24.
S 4: Bet 8 units up to 3 times; lose up to - 24, no win – 48; any win + 48.
S 5: Bet 16 units up to 3 times; lose up to - 48, no win – 96; any win + 96.
S 6: Bet 32 units up to 3 times; lose up to - 96, no win – 192; any win + 192.
Bet #22; Bet 50 units one time; lose – 242; win + 300 = + 58.
Bet #23; Bet 50 units one time; lose – 292; win + 300 = + 8.
(Bet#24; Bet 50 units one time; lose – 342; win + 300 = - 42).
2. Play 3 numbers: 11 x 1 + 1 = 12:
6 bets can be doubled up to 32 units. An additional 11 bets can be placed by using the limit maximum of 50 units. 17 bets with and investment of - 613 units can be placed with the martingale. Using the improved martingale, 47 bets can be placed with an investment of approximately the same amount of - 634 units.
11 x 1 + 1 = 12 (46 Bets with a 50 unit limit.)
S 1: Bet 1 unit up to 12 times; lose up to - 12, no win - 12; any win + 12.
S 2: Bet 2 units up to 6 times; lose up to - 12, no win – 24; any win + 24.
S 3: Bet 4 units up to 6 times; lose up to - 24, no win – 48; any win + 48.
S 4: Bet 8 units up to 6 times; lose up to - 48, no win – 96; any win + 96.
S 5: Bet 16 units up to 6 times; lose up to - 96, no win – 192; any win + 192.
S 6: Bet 32 units up to 6 times; lose up to - 192, no win – 384; any win + 384.
Bet #43; Bet 50 units one time; lose – 434; win + 600 = + 166.
Bet #44; Bet 50 units one time; lose – 484; win + 600 = + 116.
Bet #45; Bet 50 units one time; lose – 534; win + 600 = + 66.
Bet #46; Bet 50 units one time; lose – 584; win + 600 = + 16.
(Bet #47; Bet 50 units one time; lose – 634; win + 600 = - 34.).
3. Play 2 numbers: 17 x 1 + 1 = 18:
6 bets can be doubled up to 32 units. An additional 17 bets can be placed by using the limit maximum of 50 units. 23 bets with and investment of - 913 units can be placed with the martingale. Using the improved martingale, 70 bets can be placed with an investment of approximately the same amount of - 926 units.
17 x 1 + 1 = 18 (69 Bets with a 50 unit limit.)
S 1: Bet 1 unit up to 18 times; lose up to - 18, no win - 18; any win + 18.
S 2: Bet 2 units up to 9 times; lose up to - 18, no win – 36; any win + 36.
S 3: Bet 4 units up to 9 times; lose up to - 36, no win – 72; any win + 72.
S 4: Bet 8 units up to 9 times; lose up to - 72, no win – 144; any win + 144.
S 5: Bet 16 units up to 9 times; lose up to - 144, no win – 288; any win + 288.
S 6: Bet 32 units up to 9 times; lose up to - 288, no win – 576; any win + 576.
Bet #64; Bet 50 units one time; lose – 626; win + 900 = + 274.
Bet #65; Bet 50 units one time; lose – 676; win + 900 = + 224.
Bet #66; Bet 50 units one time; lose – 726; win + 900 = + 174.
Bet #67; Bet 50 units one time; lose – 776; win + 900 = + 124.
Bet #68; Bet 50 units one time; lose – 826; win + 900 = + 74.
Bet #69; Bet 50 units one time; lose – 876; win + 900 = + 24.
(Bet #70; Bet 50 units one time; lose – 926; win + 900 = - 26.).
4.. Play 1 number: 35 x 1 + 1 = 36:
6 bets can be doubled up to 32 units. An additional 35 bets can be placed by using the limit maximum of 50 units. 41 bets with an investment of - 1,813 units can be placed with the martingale. Using the improved martingale, 139 bets can be placed with an investment of approximately the same amount of - 1,802 units.
35 x 1 + 1 = 36 (138 Bets with a 50 unit limit.)
S 1: Bet 1 unit up to 36 times; lose up to - 36, no win - 36; any win + 36.
S 2: Bet 2 units up to 18 times; lose up to - 36 no win – 72; any win + 72.
S 3: Bet 4 units up to 18 times; lose up to - 72, no win – 144; any win + 144.
S 4: Bet 8 units up to 18 times; lose up to - 144, no win – 288; any win + 288.
S 5: Bet 16 units up to 18 times; lose up to - 288, no win – 576; any win + 576.
S 6: Bet 32 units up to 18 times; lose up to - 576, no win – 1,152; any win + 1,152.
Bet #127; Bet 50 units one time; lose – 1,202; win + 1,800 = + 598.
Bet #128; Bet 50 units one time; lose – 1,252; win + 1,800 = + 548.
Bet #129; Bet 50 units one time; lose – 1,302; win + 1,800 = + 498.
Bet #130; Bet 50 units one time; lose – 1,352; win + 1,800 = + 448.
Bet #131; Bet 50 units one time; lose – 1,402; win + 1,800 = + 398.
Bet #132; Bet 50 units one time; lose – 1,452; win + 1,800 = + 348.
Bet #133; Bet 50 units one time; lose – 1,502; win + 1,800 = + 298.
Bet #134; Bet 50 units one time; lose – 1,552; win + 1,800 = + 248.
Bet #135; Bet 50 units one time; lose – 1,602; win + 1,800 = + 198.
Bet #136; Bet 50 units one time; lose – 1,652; win + 1,800 = + 148.
Bet #137; Bet 50 units one time; lose – 1,702; win + 1,800 = + 98.
Bet #138; Bet 50 units one time; lose – 1,752; win + 1,800 = + 48.
(Bet #139; Bet 50 units one time; lose – 1,802; win + 1,800 = - 2).
As with the martingale, all of the bets placed have the potential to recover all previous losses. A profit is also made when any of the placed bets hit, with the exception of the last bet of the sequence being played.
In conclusion: As more bets can be placed when using the improved martingale betting system, the chances of winning more frequently increase!

Although I came up with this idea some 4 years ago, and have the copyright to prove it, I only recently came to the realization that this could be valuable information to those roulette, craps, sic bo, wheel of fortune etc. players who play the high payout propositions and who need a simple money management betting system.

I sincerely hope that what I have come up with is original in concept and that it really is an improvement on this over two century old betting system.  I also sincerely hope that the math is right as I have yet to find someone to edit the illustrations. If there are errors, my apology! If you like what is being presented, please give it a try!

And no, you are not going to win big nor every time you play when using this improvement! But as more bets can be placed, you should win more often!

"All betting systems are worthless"! If you agree with this closed mindedness,  there is no need for you to reply! If this improvement does not work better than the "double up after every loss" martingale betting system, please let me know!

[Charley1945]

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