Should you double your bet after every loss at even money games? Would you not win your original bet for every single win, regardless of how many losses preceded the win? Can this method lose?

Yes this metode can and will lose. This method, known as the Martingale, only works if you have an infinite supply of money and there is no maximum bet. In real life you will eventually either run up against the limit of your bankroll or the maximum bet size. Like most gambling systems this one trades a lot of small wins for a few huge losses. In the long run you will lose.

The Martingale system is also mentioned in Encyclopedia Brittanica under the topic "roulette":

"The oldest and most common betting system is the Martingale or "doubling-up" system, in which bets are doubled progressively. This probably dates back to the invention of the Roulette wheel, but every day of the week some gambler somewhere reinvents it, or some variation of it, and believes he has something new. Over the years hundreds of 'sure-fire' winning systems have been dreamed up, but regardless of what system is used, in the long run it cannot overcome the house's advantage of the 0, or 0 and 00. This house advantage is the only system that consistently wins in the long run."

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