Roulette is the third biggest Casino game in the US and the world because of its relative simplicity. There are two versions of Roulette: the European and the American Roulette. Let's focus on the American version. The American double zero increases the house edge.
Roulette payouts are not pot luck or simple jackpot wins, they vary depending on what was wagered in the first place and where the chip is placed.
Straight bets yield the highest payouts. A straight bet is choosing one number out of all 36 to bet. You can also choose zero or double zero. The payout is 35 to 1, meaning if you wagered you would get a nice 0 back. It's so high because you have a one in 38 chance of winning. Choose this bet if you have cash to burn.
You can increase your chances but get a high payout by splitting your bet. This means that you put your chip between two numbers on the board. If it lands on either of these numbers you get a 17 to 1 payout. You can take this option even further by using corner bets (where all four corners of each number meet) - yielding an 8 to 1 payout. You can use different combinations for more secure bets.
Perhaps the easiest method and at times the most rewarding is to simply bet on a color red or black. However this gives a low payout, which is even to how much you wagered. Say if you bet and win, you get your back with an extra .
Identical to this is the odd and even bet. Simply bet on whether the ball will land on an odd or even number. You don't have to decide the exact number it lands on though.
High bets are between 1 and 18, and low bets are between 19 and 36. Like the above two a winning bet would simply grant a payout of 1 to 1.
Of course these payouts can alter as you use different combinations at once - but in doing so you greatly decrease your odds of winning, and you can quickly burn through your whole bank balance.
The simplest method is to bet on odd or even and red or black. Combine this with the Martingale system of doubling your bet amount after a loss and you will eventually always be in the positive. It just depends on how big your bank balance is.
So the bets to avoid in this game are probably all single number bets and the five number bet (only found on double zero wheels) because these types of bets have the largest disparity between true odds and actual payouts.

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Only one of those numbers will win, and will pay 35 to 1, so you'll get back $360 (the $350 you won plus your original $10 bet on that number) The Roulette wheels in Europe are numbered 1-36, and have a green zero section. The marked area of roulette is called the game layout, and you may place bets on any particular number, any 4 adjacent numbers, a column or a dozen bet. Bets can be placed again for the next spin. After all bets are placed, the roulette Dealer spins the wheel in one direction and the ball in the opposite direction. A huge attraction at casinos across the country, the classic roulette wheel remains one of the most exciting casino games available. The roulette ball falls into one of the wheel's numbered compartments which determines the winning number. Players often choose the bets they like to make and stick with them for a series of spins. Roulette uses a special wheel, a betting layout, and chips. Try to find a European wheel with the Single 0 (no 00) Having two zeros (0, 00) gives the house a 5.26 advantage In other words, for every $100 a gambler bets, the house will make $5.26 in profit. a. Unlike other casino games, roulette rounds go by quickly - just a spin of the wheel and the game is over. The outcome of a game of Roulette is determined by where the ball stops on the Roulette wheel. European wheels have only the 0 green section. You may place roulette bets on the spin until the Dealer announces "No more bets". The Roulette wheel layout used in Europe and in America generally not the same. Once the bets have been placed on the roulette table, the wheel starts spinning and a small ball is released on to the wheel in the opposite direction of the spinning wheel. - Players make bets by placing chips in various locations on the table. In Roulette the bets are placed on an area of the table marked with separate boxes containing individual numbers. The croupier spins the wheel, which has 38 slots, numbered from 1 to 36 with the additional slots 0 and 00. Wait til the dealer says "place your bets" before putting any roulette chips down for the next round. Numbers 1-18 are considered the lows numbers, 19-36 are the highs. On even money bets when 0 comes up, instead of losing right away, your bet is "imprisoned" and rides again for the next spin. Here's another way to look at it: Let's say you bet $10 on every number one bet on each of the 38 spots. Each Player has a different colored set of non-value Roulette chips, determined by his/her purchase. One of the thing you should know is how the table minimum works. The American roulette is divided in to 38 slots, numbered 1 through 36, plus 0 and 00. Roulette is not as popular in United States casinos as it is in Europe. You should remember to exchange the colored non-value Roulette chips for valued gaming chips prior to leaving a particular Roulette table. In a casino, the person who spins the wheel is called a “croupier. The American roulette is divided in to 38 slots, numbered 1 through 36, plus 0 and 00. The wheel is used to determine the outcome of a game of Roulette. Roulette is played on a table featuring a betting area and the roulette wheel. After the wheel stops the dealer will then mark the winning number on the betting area and the bets are paid accordingly.  You usually find most tables in Las Vegas with a minimum bet of $1 - $3. Consider playing low-edge games like Baccarat, Blackjack, or Craps instead. (We assume it's offered at the Paris casino, because Roulette comes from France, after all.