If you choose a single number, then the chances of winning are 36 to 1 in European-style games, and 37 to 1 if you play an American version. The second factor to take into account is that the odds vary according to the bet that you choose. This means that the roulette table odds are lower in European games, making the decision to play European versions one of our top casino rules. The main difference between them is that the American variant has two zero pockets instead of one (0 and 00). The first thing worth mentioning here is that you will find both American and European versions of this classic table game. However, you can improve your chances of winning by fully understanding the roulette odds and payouts that are involved. When you play roulette, you are taking part in a game of chance in which no one knows where the little ball will end up.