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Simulation of a roulette method on MATLAB

During Covid I found this method on YouTube: https://www.youtube.com/watch?v=TiYGSuyGSNc. I got curious and I decided to test it, to evaluate if it is profitable in the long run.

I used the rand function to simulate a random draw.

Method description

You start with an initial bet with an 80% chance of winning:

  • In case of a win, you continue with the same bet.
  • In case of a loss, you place a 50% (winning prob) bet, where you bet the amount lost.
    • In case of a win, you would have regained everything and restart with the 80% bets.
    • In case of a loss, you continue with the 50% bet, always doubling the amount wagered.

Example

  1. Bet $5 at 80% -> lose
  2. Bet $5 at 50% -> lose
  3. Bet $10 at 50% -> lose
  4. Bet $20 at 50% -> win -> I have won $40, which is 20 + 10 + 5 + 5, I have broken even!
  5. Bet $5 at 80% ..

Spoiler

Assuming my simulation is correct, you will always lose all your money! 

Sooner or later you will encounter a losing streak at 50% bets that will lead you to spend all your money. For instance, after 20k bets you may lose 25 bets at 50% in a row.

Unfortunately I have to continue studying engineering 🤣

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