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1-3-2-6 Betting System
Introduction
The 1-3-2-6 is a simple progressive betting system This strategy is known for potentially increasing winnings during fortunate gaming sessions, but it can also lead to greater losses when luck isn't on your side. Its origins are unclear to me, but I've received inquiries about it. Below, you'll find my insights and observations.
Rules
As is the case with numerous betting strategies, the 1-3-2-6 system is particularly effective in blackjack or any other game that provides a 50/50 betting option. This method is relatively rapid, typically spanning a maximum of four hands. Players are free to apply it repetitively.
- Begin by determining the size of your betting unit. This amount should roughly be one-sixth of the sum you are willing to risk losing in a single round.
- After any tie, repeat the previous bet.
- Bet one unit.
- If your first bet results in a loss, you should stop and accept a setback of one unit.
- Conversely, if your first bet is successful, you should place a bet of three units on your second hand.
- If you lose on the second bet, you should walk away with a total loss of two units.
- Should your second bet prove fruitful, increase your stake to two units on the third hand.
- If the outcome of the third bet is a loss, you should walk away with a gain of two units.
- On a winning third bet, go all in with six units on the fourth hand.
- If you lose your fourth bet, you should exit the game with your money balanced.
- If the fourth bet is a win, leave with a profit of twelve units.
Below is a flowchart illustrating the steps to follow in this system. Start at the leftmost box labeled 'establish unit size.' For a larger view, click on the image.
Analysis
The next table presents the overall profit, likelihood, and return contribution associated with employing the 1-3-2-6 approach on the Player bet in baccarat. The bottom right quadrant indicates a projected loss of 0.050308 units for each session. On average, a player makes about 4.073271 bets in a session. The expected money lost compared to the total wagered per session is 0.012351.
Baccarat Player Bet
Wins | Net Win | Probability | Return |
---|---|---|---|
0 | -1 | 0.506825 | -0.506825 |
1 | -2 | 0.249953 | -0.499907 |
2 | 2 | 0.123271 | 0.246542 |
3 | 0 | 0.060794 | 0.000000 |
4 | 12 | 0.059157 | 0.709882 |
Total | 1.000000 | -0.050308 |
This subsequent table illustrates the net gain, probability, and returns from applying the 1-3-2-6 method to the Banker bet in baccarat. The rightmost bottom cell reveals an anticipated loss of 0.044607 units for each session. The typical number of bets made in a session averages around 3.815350, with a loss-to-bet ratio of 0.010579.
Baccarat Banker Bet
Wins | Net Win | Probability | Return |
---|---|---|---|
0 | -1 | 0.493175 | -0.493175 |
1 | -2.05 | 0.249953 | -0.512405 |
2 | 1.8 | 0.126683 | 0.228029 |
3 | -0.3 | 0.064206 | -0.019262 |
4 | 11.4 | 0.065983 | 0.752205 |
Total | 1.000000 | -0.044607 |
The following table outlines the potential profit, probability, and return contributions for using the 1-3-2-6 system on the pass bet in craps. According to the lower right corner, the expected loss is 0.052088 units per session, with an average of 3.683376 bets made, resulting in a loss-to-bet ratio of 0.014141.
Craps Pass Bet
Wins | Net Win | Probability | Return |
---|---|---|---|
0 | -1 | 0.507071 | -0.507071 |
1 | -2 | 0.249950 | -0.499900 |
2 | 2 | 0.123208 | 0.246415 |
3 | 0 | 0.060733 | 0.000000 |
4 | 12 | 0.059039 | 0.708467 |
Total | 1.000000 | -0.052088 |
In this next table, we analyze the net winnings, probabilities, and returns by using the 1-3-2-6 betting system on the don't pass bet in craps. The anticipated loss displayed in the lower right corner is 0.051671 units per session, with an average of 3.789170 bets, leading to a loss-to-bet ratio of 0.014026.
Craps Don't Pass Bet
Wins | Net Win | Probability | Return |
---|---|---|---|
0 | -1 | 0.507013 | -0.507013 |
1 | -2 | 0.249951 | -0.499902 |
2 | 2 | 0.123223 | 0.246445 |
3 | 0 | 0.060747 | 0.000000 |
4 | 12 | 0.059067 | 0.708799 |
Total | 1.000000 | -0.051671 |
Here’s a table showing the net winnings, probabilities, and expected returns for applying the 1-3-2-6 betting strategy to any even money wager in single-zero roulette. The anticipated loss noted in the bottom right corner is 0.097936 units per session, with an average of 3.623616 bets made, and a loss-to-bet ratio of 0.027027.
Single-Zero Roulette
Wins | Net Win | Probability | Return |
---|---|---|---|
0 | -1 | 0.513514 | -0.513514 |
1 | -2 | 0.249817 | -0.499635 |
2 | 2 | 0.121533 | 0.243066 |
3 | 0 | 0.059124 | 0.000000 |
4 | 12 | 0.056012 | 0.672147 |
Total | 1.000000 | -0.097936 |
This table displays the net win, probabilities, and contributions to returns when using the 1-3-2-6 strategy on any even money bet in double-zero roulette. The bottom corner indicates an expected loss of 0.184606 units per session, with approximately 3.507508 bets made on average, leading to a loss-to-wager ratio of 0.052632.
Double-Zero Roulette
Wins | Net Win | Probability | Return |
---|---|---|---|
0 | -1 | 0.526316 | -0.526316 |
1 | -2 | 0.249307 | -0.498615 |
2 | 2 | 0.118093 | 0.236186 |
3 | 0 | 0.055939 | 0.000000 |
4 | 12 | 0.050345 | 0.604139 |
Total | 1.000000 | -0.184606 |
The following table presents the net gains, probabilities, and return contributions for utilizing the 1-3-2-6 system on any even money bet in triple-zero roulette. The anticipated loss shown in the lower right corner is 0.261580 units per session, with an average of 3.400546 bets, giving a loss-to-betting ratio of 0.076923.
Triple-Zero Roulette
Wins | Net Win | Probability | Return |
---|---|---|---|
0 | -1 | 0.538462 | -0.538462 |
1 | -2 | 0.248521 | -0.497041 |
2 | 2 | 0.114702 | 0.229404 |
3 | 0 | 0.052939 | 0.000000 |
4 | 12 | 0.045377 | 0.544519 |
Total | 1.000000 | -0.261580 |
Video
Feel free to watch my video discussing the 1-3-2-6 betting system.
Direct link: www.youtube.com/watch?v=X_C8LlEKmvY
Internal Links
I have also analyzed various other betting systems that may interest you.