If you bet $100, your odds of winning are around 50% and if you lose, bet $200, and so on and so forth until you win, and then cash out with a guaranteed profit. Assuming odds of black are 47.37% as per American roulette, your odds of not winning a single one after 6 tries are 0.02125 (I think) and decrease exponentially after each subsequent try.
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This is called the Martingale system. In theory it can work but in practice there’s a few issues. For starters the roulette is a game designed to make profit for the house, i.e. the casino. Many people have thought of various strategies but ultimately none can work consistently and might only work on occasion by just getting really lucky one day. Betting on colors has low returns so any profit made will be minimal and casinos usually have a maximum betting limit so you can’t indefinitely chase higher and higher earnings, you’ll hit a cap, and you might hit it while still being at a loss. Lastly, you do realise that such a strategy requires the player to already have a lot of money to draw from, in which case even if you end on a win any gains you’ve made are minimal compared to the sum you were using to make those bets. And you do need a large money pool to draw from, there’s no perfect strategy that feeds itself because the game is designed to not allow this.
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