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European Roulette Payout Calculator

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For roulette, the probability of the odds for roulette table payouts is the specific number that is the outcome. It is normally expressed as ‘1 out of 37' or 1/37. The first number is the probability of a given outcome occurring while the second number is the total number of the possible outcomes in the game. The roulette betting calculator has computed a high-risk betting unit of £8 for the bankroll of £200, used in this example. The sum corresponds to 4% of the overall bankroll amount and is considered the highest, yet the safest bet limit in the game of roulette.

Calculation of Casino House Edge


The house edge (HE) is defined as the casino profit expressed as a percentage of the player's original bet.

The player's disadvantage is a result of the casino not paying winning wagers according to the game's 'true odds,' which are the payouts expected considering the odds of a wager either winning or losing.

The house edge of casino games vary greatly with the game. House edges for slot machines and Keno may be up to 15% and 25% respectively.

In games which have a skill element, such as Blackjack or Spanish 21, the house edge is defined as the house advantage from optimal play (without the use of advanced techniques such as card counting), on the first hand of the shoe (container holding the cards).

The set of the optimal plays for all possible hands is known as 'basic strategy' and is highly dependent on the specific rules, and even the number of decks used. Good Blackjack and Spanish 21 games have house edges below 0.5%.

Example #1:

Calculate the house edge for American Roulette, which contains two zeros and 36 non-zero numbers (18 red and 18 black).

Solution #1:
If a player bets $1 on red, his/her chances of winning $1 is 18/38 since 18 red numbers exist out of 38. However, his/her chance of losing $1 (i.e., winning $1) is 20/38. Therefore, the expected value may be calculted as follows:
Expected Value = (1)(18/38) + (1)(20/38)
Expected Value = 18/38 20/38
Expected Value = 2/38 = 1/19

Expected Value = 5.26%
Therefore, the house edge is 5.26%.

Example #2:

Calculate the house edge for European Roulette, which contain a single zero and 36 non-zero numbers (18 red and 18 black).


If a player bets $1 on red, his/her chances of winning $1 is 18/37 since 18 red numbers exist out of 37. However, his/her chance of losing $1 (i.e., winning $1) is 19/37. Therefore, the expected value may be calculted as follows:
Expected Value = (1)(18/37) + (1)(19/37)
Expected Value = 18/37

European Roulette Payout Calculator Formula

19/37
Expected Value = 1/37

Expected Value = 2.7%
Therefore, the house edge is 2.7%.

European Roulette Payout Calculator Present Value

Example #3:

Calculate the house edge for a game played by wagering on a number from the roll of a single die with a payout of four times the amount wagered for a winning number.

European Roulette Payout Calculator Express Entry

Solution #3:

Since the probability of a winning number for a single roll of a die is 1/6, it follows the game has 5 to 1 odds. However, with a payout of only four times the amount wagered (i.e., 4 to 1) for a winning number, the house edge may be calculated as follows:
House Edge = (true odds
− payout odds) / (true odds + 1)
House Edge = (5
− 4)/(5 + 1)

House Edge = 1/6
House Edge ≈ 16.67%

European Roulette Payout Calculator Cheat


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The result of Roulette play depends on the wheel spinning. It is impossible to predict the outcome of this game of chance. Nobody can certainly tell where the little white ball will land on the next spin. But still, there are some tools such as a roulette calculator that can increase the roulette odds and make the casino wheel and table bring a good payout to you.

How to Win Playing Roulette?

This game is based on the random number outcome. But still, you can learn the basic strategies to be successful. There are some aspects of the game which can affect the player's chance of winning.

  • Roulette type – European Roulette provides higher odds because this variation features only one '0' reducing the house advantage. American Roulette features the additional double zero and it lowers winning odds for the players.
  • Bet type – there are various bet types which amount to different numbers of chips. Think of your bet amount and analyze the situation to select the most appropriate bet type and increase the Roulette odds.
  • Table layout – each layout features a certain number of pockets as well as the arrangement and sequence of numbers. It may be highly influential in the game. Gambling experts suggest that a more familiar table layout can help the player guess the winning numbers more often.

All in all, consider each aspect. Choose the best Roulette variation, bet type and the table layout which fits you best and provides more winning opportunities to your mind. Roulette always involves some logical thinking and the ability to predict.

European roulette payout calculator express entry

Roulette Odds Calculator

Roulette calculator is one of the most widely-used software that can be used to find out the winning chances in any sequence of events and work out the best roulette online strategy. The user should just enter the roulette type, the bet size and select the necessary outcome:

  • Color – Red or Black.
  • Bet type – Single Number, Split, Street, Corner, Six Line, and Top Line.
  • The number range – 1-12, 13-24, 25-36.

Keep in mind that the calculator can't predict the exact results of the game but can show the outcome probability, success percentage, and expected return. The results will help to figure out the next move and win the game.

In general, the use of the calculating software provides an awesome gaming environment and makes the gaming process more interesting but never rely on the calculator only. Your success is the combination of strategy, intuition, gaming competence, and luck.

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