Roulette is the third biggest game in 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 on the mat.
Straight bets yield the highest payouts because they have the worst odds of winning. A straight bet is when you pick one number out of all 36 to win. You can 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 still get a high payout (at least where roulette payouts are concerned) 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.
Perhaps the easiest method the most rewarding is to bet on 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 - but in doing so you greatly decrease your odds of winning at all.
The simplest method is to bet on odd or even and red or black. Combine this with the Martingale system and you will 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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Single numbers pay the highest, while either/or bets are lowest. You usually find most tables in Las Vegas with a minimum roulette bet of $1 - $3. - Roulette is one of the oldest and most popular games played in modern casinos. � The only difference is that the American version has a single zero and a double zero versus the French version with just a single zero. A European roulette wheel has the numbers 1-36, plus a slot for zero. Roulette uses a special wheel, a betting layout, and chips. Roulette is a banking game: all bets are placed against the house. The wheel is divided into 38 (American) or 37 (European) sections, each of which has walls to hold a small ball where it lands after the wheel is spun. The outcome of a game of Roulette is determined by where the ball stops on the Roulette wheel. In North American roulette, the house enjoys a steady 5.3% advantage. When you get your roulette chips they will not be marked with a denomination, you choose it, and all of the chips will reflect that worth - the dealer keeps track of that by associating the amount and color with a 'lammer'. The Roulette wheel has numbered pockets ranging from 00 to 36. In Roulette the bets are placed on an area of the table marked with separate boxes, with each box containing individual numbers. These are referred to as INSIDE or OUTSIDE bets. The game of roulette starts after the players have made most of their bets by placing them on the numbered layout. �Roulette is a fast moving, simple and exciting game offering many different types of bets and payoffs. Four number bets, made at crosses (touching the grid on four locations), are worth 8:1. Playing Roulette is easy: Just buy chips, and put your chip(s) on the number(s) you think will win, or on red or black, even or odd, etc. Roulette does not move at a quick pace, it is for a more relaxed crowd than you are likely to find at the craps table. The Roulette wheel has numbered pockets ranging from 00 to 36. The Roulette wheel layout used in Europe and in America generally not the same. Roulette is a unique table game as it has a mechanical device as the main element of the game. Just pick a number and spin the ball. If you're playing in Atlantic City, make outside bets instead of inside bets. The roulette wheel consists of slots or �pockets� numbered from 1 to 36, which are either red or black. If the roulette ball lands in the 0 slot, the game ends and all players receive half their original bets back. " You may then place bets on the next spin until the Dealer announces "No more bets". The ball stops in one of the numbered pockets of the Roulette wheel. If you play black-red, odd/even or high-low, you must place the table minimum for each & every bet. (If you don't believe me start flipping a coin and notice that after three heads, you're equally likely to get heads as tails on the next flip. All roulette players place their bets. The zero and double zero numbers are in green and on opposite sides of the wheel, the colors and odd/even numbers alternate, and the numbers themselves are randomly distributed. Roulette players make bets by placing chips in various locations on the table. When you finish beating the house at roulette, you will have to ask the dealer to "color out" for you� The dealer will take your chips and give you casino checks which you may then use on other games or cash out at the cashier. The ball stops in one of the numbered pockets of the Roulette wheel. The players who bet on the winning number or color are rewarded while the players who bet on the losing number(s) lose their chips to the casino. Before you can place your bet on a roulette table you first have to get special roulette chips from the dealer at the table. 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.