D’Alembert Simulator on Roulette Wheel

Welcome to the D’Alembert Simulator tool. This tool allows you to simulate the D’Alembert betting strategy on an American Roulette Wheel, European Wheel, or an Even Money Game. Follow the instructions below to run a backtest:

1. Enter your starting balance in the "Starting Balance" field.
2. Specify your initial bet amount in the "Starting Bet" field.
3. Select the type of wheel you want to simulate (American, European, or Even Money Game) from the dropdown menu.
4. Click the "Run Simulator" button to start the simulation. (This will simulate 10,000 runs of the selected scenario.)

After running the simulator, you'll see two histograms:

Histogram of Highest Balances

This histogram displays the frequency distribution of the highest balances achieved during the simulation.

Cumulative Histogram of Highest Balances

This cumulative histogram shows the cumulative distribution of the highest balances over the course of the simulation.

Note: The D’Alembert betting strategy involves adjusting your bet size by adding or subtracting a fixed amount after each win or loss, respectively, with the goal of recovering losses gradually and making a profit. Unlike the Martingale strategy, the D'Alembert strategy does not involve doubling bets after losses, potentially reducing the risk of significant losses over time.