Roulette & the martingale system
This is a series of articles about using Martingale system to try and make more money playing roulette. A summary of the articles (with links to them) is below:
In the first article, I learned about the Martingale betting system, which involves doubling one’s bet after a loss in an effort to recoup losses and ultimately make a profit. The system is based on the premise that eventually a 50:50 bet will be successful, but the article noted that the odds in roulette are not actually 50:50, which makes the strategy more difficult to use successfully. The article also mentioned that it is possible to experience a losing streak that can wipe out one’s funds entirely.
In the second and third articles, I developed a roulette simulation using Python to test the effectiveness of the Martingale betting system. The simulation involved modeling a player following the Martingale system and quitting the game once they reach a certain exit multiple of their starting balance. I modified the constraints of the simulation to accurately test the Martingale system and used it to determine the likelihood of success and potential returns from using the system in a game of roulette.
Through my analysis, I found that increasing the exit multiple decreases the probability of success, and that there is a relationship between the minimum bet and both the number of times the player can lose before going broke and the rate at which they grow their balance. I also found that a lower minimum bet may not always lead to a higher probability of success, as it also affects the number of rounds needed to reach the exit multiple and the number of possible losses. I also explored the impact of the win odds on the probability of success and found that success is more likely with higher win odds.
The above summary was written by ChatGPT, and modified by me for readability and formatting.