The Pyramid Betting System (d’Alembert variation) is known not only for online casinos but also as an investment method. It is a well-known strategy for reducing debt and earning long-term profits. This page provides detailed information on how to use the Pyramid Betting System, its advantages and disadvantages, and simulations of its actual use.
What You Will Find in This Article:
- The d’Alembert method can be used in games with double payouts.
- A strategy where you can increase or decrease your stake depending on your winnings or losses from the starting amount.
- While it does not generate significant profits, the improved method can help increase gains.
- Script for the Crash game that automates the Pyramid Betting System.
What Is the Pyramid Betting System?
It is an easy-to-understand strategy and is recommended for casino novices.
↕️ The strategy involves reducing the stake by -1 when you win and increasing it by +1 when you lose.
The Pyramid Betting System (d’Alembert variation) is a strategy in which the bet is raised or lowered by one unit depending on wins or losses. It is also known as the ‘pyramid method’ because the bet amount forms a pyramid-like pattern during consecutive losses or wins.
This system is popular among both beginners and experienced players, as it is easy to use, applicable to various games, simple in procedure, and increases the odds of winning.
It is also referred to as the ‘d’Alembert method’ because, according to one theory, it was devised by the 18th-century French mathematician Jean Le Rond d’Alembert.
🥅 A Defensive Strategy for Protecting Your Profits
The Pyramid Betting System (d’Alembert variation) allows you to play while steadily accumulating and protecting your profits. As a result, the winning rate is high, and even during a losing streak, it is still possible to achieve a positive profit. Additionally, the risk is more limited than with the Martingale or Kokomo methods, where losses can escalate sharply, as the bet amount does not increase significantly even during a major losing streak.
However, this system does not generate large profits during consecutive wins. Therefore, if your primary concern is maximising profit size, a different strategy may be more suitable.
💎 Applicable to Games with Double Payouts
The Pyramid Betting System (d’Alembert variation) is designed for games offering double payouts upon a win. Thus, it is best suited for betting areas with approximately 50% win rates, such as red/black or odd/even in roulette, player bets in baccarat, 2x multiplier in Crash games or large/small in Sic Bo.
Other possibilities include betting on the ‘1’ in Monopoly Live or doubling the payout for the green or blue camps in 100 Bit Dice. For games like French Roulette, which may return less than 1x the payout in certain losses, treat such outcomes as losses.
How to Bet Using the Pyramid Betting System
The betting method is simple, making it easy for beginners to use.
Following an explanation of the betting method, a simulation of the Pyramid Betting System (d’Alembert variation) is provided to demonstrate actual betting amounts and profit/loss movements. Starting amounts and betting variations are flexible, allowing you to tailor them to your playing style.
1. Determine Your Starting Wager
First, decide on your ‘initial stake’. The initial stake directly influences subsequent bets. Beginners may prefer smaller unit amounts depending on their bankroll. A recommended setting is a ‘first wager of USD 5’. Subsequent explanations and diagrams in this article use this setting.
2. Decide on the Units of Increase or Decrease
Next, determine the ‘increase/decrease unit’. Setting this amount too high increases the risk of substantial losses during consecutive losses. For this explanation, we use an ‘increase/decrease of USD 1’, where USD -1 is applied for a win, and USD +1 for a loss.
3. Handle Stakes Reaching $1
If your stake is reduced to $1 following a win, you cannot lower the wager further, as zero betting is not allowed in gambling. In such cases, you can:
- Continue betting at $1.
- Return to the initial bet amount (e.g., $5 in this explanation).
Each option has its implications:
- In case (i), the risk of loss is reduced in the event of a loss, but profits remain small even after winning.
- In case (ii), the risk of loss increases, but profits can grow significantly when winning.
Practical Simulation of the Pyramid Betting System
In this simulation, a bet is placed on ‘black’ in French Roulette. The first game is considered a win, the second to fourth games are losses (three consecutive losses), and the fifth to eighth games are wins (four consecutive wins).
Each unit (increase or decrease in wager per round) is $1, and the initial wager is 5 units, i.e., $5.
| Number of Games | Amount Bet | Wins & Losses | Income |
|---|---|---|---|
| 1 | $5 | Win | +$5 |
| 2 | $4 | Lose | +$1 |
| 3 | $5 | Lose | -$4 |
| 4 | $6 | Lose | -$10 |
| 5 | $7 | Win | -$3 |
| 6 | $6 | Win | +$3 |
| 7 | $5 | Win | +$8 |
| 8 | $4 | Win | +$12 |
Observing the profit and loss, it is clear that the system was able to recover from a negative $10 by the fourth round to a positive $12 by the eighth round due to four consecutive wins.
The Pyramid Betting System (d’Alembert variation) is characterised by a ‘winning streak after a losing streak’, resulting in significant profit. This occurs because the bet amount increases during consecutive losses and decreases during consecutive wins. While the amounts from single wins and losses offset each other, the highest bet during a winning streak (e.g., the fifth game in this simulation) generates a substantial profit. This feature allows for large gains from a single favourable game.
This strategy is especially beginner-friendly, as the risk is limited, bets do not increase drastically even during consecutive losses, and the movement of the bet is straightforward: +$1 for a win and -$1 for a loss.
Practical Examples of the d’Alembert Method
Red Tiger Roulette
Practical examples of the d’Alembert method are outlined below.
- Game Used: Red Tiger’s European Roulette
- Funds: $100
- Initial Bet: $5
- Betting Method: Random bets on ‘red’ and ‘black’.
| # | Bet Amount | Won or Lost | Profit/Loss | Balance |
|---|---|---|---|---|
| 1 | 5 | ◯ | +5 | 105 |
| 2 | 4 | ✕ | -4 | 101 |
| 3 | 5 | ✕ | -5 | 96 |
| 4 | 6 | ✕ | -6 | 90 |
| 5 | 7 | ◯ | +7 | 97 |
| 6 | 6 | ◯ | +6 | 103 |
| 7 | 5 | ✕ | -5 | 98 |
| 8 | 6 | ✕ | -6 | 92 |
| 9 | 7 | ◯ | +7 | 99 |
| 10 | 6 | ◯ | +6 | 105 |
| 11 | 5 | ◯ | +5 | 110 |
| 12 | 4 | ✕ | -4 | 106 |
| 13 | 5 | ✕ | -5 | 101 |
| 14 | 6 | ✕ | -6 | 95 |
| 15 | 7 | ◯ | +7 | 102 |
| 16 | 6 | ◯ | +6 | 108 |
| 17 | 5 | ✕ | -5 | 103 |
| 18 | 6 | ◯ | +6 | 109 |
| 19 | 5 | ◯ | +5 | 114 |
| 20 | 4 | ◯ | +4 | 118 |
| 21 | 3 | ◯ | +3 | 121 |
| 22 | 2 | ✕ | -2 | 119 |
| 23 | 3 | ◯ | +3 | 122 |
| 24 | 2 | ✕ | -2 | 120 |
| 25 | 3 | ◯ | +3 | 123 |
| 26 | 2 | ✕ | -2 | 121 |
| 27 | 3 | ✕ | -3 | 118 |
| 28 | 4 | ◯ | +4 | 122 |
| 29 | 3 | ◯ | +3 | 125 |
| 30 | 2 | ✕ | -2 | 123 |
| 31 | 3 | ✕ | -3 | 120 |
| 32 | 4 | ✕ | -4 | 116 |
| 33 | 5 | ◯ | +5 | 121 |
| 34 | 4 | ◯ | +4 | 125 |
| 35 | 3 | ◯ | +3 | 128 |
- The d’Alembert method is a low-risk strategy, but it requires numerous plays to achieve desired profits as earnings increase gradually.
For instance, after 35 plays, the profit has increased by only $28. However, the win/loss ratio is nearly even, with 19 wins and 16 losses.
Even with minor fluctuations, it is possible to incrementally increase profits over repeated games. This strategy is ideal for patient players.
To amplify gains, players may increase their initial bet amount to $10 or higher. The improved version of the d’Alembert method, introduced later, elaborates on this approach.
What Are the Advantages of Using the Pyramid Betting System?
This section outlines the advantages of using the d’Alembert method.
The biggest advantage is its high defensibility, with a positive balance sometimes being achieved even if losses exceed wins. Additionally, the rate at which funds decrease is relatively slow.
✅ Positive Balance May Be Achieved Even if Losses Exceed Wins
| # | Betting Amount | Wins/Losses | Income |
|---|---|---|---|
| 1 | $1 | Lost | -$1 |
| 2 | $4 | Won | +$3 |
| 3 | $1 | Lost | +$2 |
| 4 | $4 | Won | +$6 |
| 5 | $1 | Lost | +$5 |
| 6 | $4 | Won | +$9 |
| 7 | $1 | Lost | +$8 |
| 8 | $4 | Won | +$12 |
| 9 | $1 | Lost | +$11 |
| 10 | $4 | Lost | +$7 |
The table above illustrates profit and loss figures based on 1 unit = $3 and an initial wager of $1. Despite 4 wins and 6 losses, the result is a positive balance.
The Pyramid Betting System (d’Alembert variation) is a highly defensive strategy due to its system of increasing bets after losses. Even during a losing streak, a positive balance can often be achieved depending on when you choose to stop.
🛟 It Reduces Your Stake and Slows the Rate of Fund Depletion
The d’Alembert method increases or decreases bets gradually, which reduces the amount of money wagered. This makes it suitable for players with smaller budgets, as it helps to minimise losses, even after extended play sessions.
What Are the Disadvantages of Using the Pyramid Betting System?
The d’Alembert method has disadvantages characteristic of low-risk strategies, such as limited potential for significant earnings.
📈 The Increase in Funds Is Quite Slow, Even During Consecutive Wins
The Pyramid Betting System (d’Alembert variation) is a defensive strategy in which the bet amount increases after a loss and decreases after a win.
A key disadvantage is that during a winning streak, profits remain modest as the bet size decreases accordingly.
If the bet amount drops to a minimum after consecutive wins, it is recommended to end the session, reset the wager, and start a new set using the d’Alembert method.
📉 A 50-50 Win Rate May Result in a Negative Balance
| # | Bet Amount | Won or Lost | Income |
|---|---|---|---|
| 1 | $1 | Won | +$1 |
| 2 | $1 | Won | +$2 |
| 3 | $1 | Won | +$3 |
| 4 | $1 | Won | +$4 |
| 5 | $1 | Won | +$5 |
| 6 | $1 | Lost | +$4 |
| 7 | $2 | Lost | +$2 |
| 8 | $3 | Lost | -$1 |
| 9 | $4 | Lost | -$5 |
| 10 | $5 | Lost | -$10 |
Due to the nature of the Pyramid Betting System (d’Alembert variation), where bets decrease after consecutive wins, a series of losses following consecutive wins may result in a net loss, even with a win rate exceeding 50%.
To secure a profit, it is necessary to continue playing after consecutive losses until the bet amount decreases again. However, if losses are significant, it is advisable to stop to avoid further depletion of funds.
Improved Version of the d’Alembert Method
One disadvantage of the d’Alembert method is its difficulty in generating substantial profits due to its defensive nature. The improved version addresses this issue.
⚒️ Enhancements to Increase Earnings with the d’Alembert Method
The Pyramid Betting System (d’Alembert variation) limits earnings when the bet amount quickly decreases to the minimum (e.g., $1) during a winning streak. An improved version of the method enables players to earn more.
By adjusting the following two points, the improved version provides a more balanced profit potential than the standard method. However, it involves higher risk, so players should consider their bankroll and other factors before implementing it.
- Start with a wager of at least USD 10
Setting the initial wager to $10 or more increases earnings during consecutive wins. - Reset to the initial wager when the amount reduces to $1
In the standard d’Alembert method, bets often remain at $1 once reduced to the minimum. By resetting to $10, profits from winning streaks can be maximised.
The table below demonstrates a simulation of the improved d’Alembert method:
| # | Bet Amount | Won or Lost | Income |
|---|---|---|---|
| 1 | $10 | Won | +$10 |
| 2 | $9 | Won | +$19 |
| 3 | $8 | Won | +$27 |
| 4 | $7 | Won | +$34 |
| 5 | $6 | Won | +$40 |
| 6 | $5 | Won | +$45 |
| 7 | $4 | Won | +$49 |
| 8 | $3 | Won | +$52 |
| 9 | $2 | Won | +$54 |
| 10 | $1 | Won | +$55 |
| 11 | $10 (Normally $1) | Won | +$65 (Normally $56) |
| 12 | $9 (Normally $1) | Won | +$74 (Normally $57) |
In the tenth round, the stake is reduced to $1. Using the normal method, the profit after the 11th round would be +$56 with another $1 bet, and +$57 after the 12th round.
With the improved method, the 11th round resets the bet to $10, resulting in a profit of +$65. By the 12th game, the profit reaches +$74, showing a significant improvement (+$17) over the normal method.
Script for Crash
Here is a script for the Crash game that automates the Pyramid Betting System.
Learn how to add and run the script on BC.Game:
- Sign up at BC.Game.
- Go to ‘Auto’ Betting Mode: In the BC Originals Crash game, switch to “Auto” to see different crash game scripts.
- Add a Script: Press the Add Script button, put in the code for the script you want to start the automated betting, give it a name and press the Save button.
- Run Script: Turn on the script to automatically bet and possibly increase your cryptocurrency.
Summary of the Pyramid Betting System
The Pyramid Betting System (d’Alembert variation) is a beginner-friendly strategy for crash, table games and live casinos. Its straightforward procedure—raising bets after losses and lowering them after wins—makes it easy to understand. The system also avoids large bets, even during losing streaks.
The opportunity for profit is particularly strong during a winning streak following a losing streak, making this a preferred strategy among enthusiasts who value its balance of risk and reward.
