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Martingale is definitely one of the most widely known and most successful roulette strategies (for some it is the best roulette strategy), and it is very simple to apply. It can be used only for outside bets, those that provide almost 50% chance of winning, and excluding the 0.
What Einstein actually meant was that there is no mathematical trick that can help you win at roulette. Each spin is an independent trial and, in the long run, the casino will win. This is different to a game such as Blackjack where the probabilities change as cards are dealt.
What are the odds in roulette? The roulette odds of winning a round depend on the number of outcomes covered in the bet. If you bet on only one number, you are facing 1-in-37 odds in European roulette and 1-in-38 odds for the American version. In both cases however, the roulette payout for straight bets is 35:1.
A player may bet on single numbers, rows of numbers, or on adjacent numbers. A player also may play colors, odd or even numbers, among others. A bet on a single number pays 35 to 1, including the 0 and 00. Bets on red or black, odd or even pay 1 for 1, or even money.