Enter the number of possible winning outcomes into the calculator to determine the odds of winning in roulette; this calculator can also evaluate the number of possible winning outcomes given the odds of winning.

Roulette Odds Formula

The following formula is used to calculate the odds of winning in roulette:

 Odds = (36 - n) / n 

Variables:

  • Odds is the odds of winning
  • n is the number of possible winning outcomes

To calculate the odds of winning in roulette, subtract the number of possible winning outcomes from 36, then divide the result by the number of possible winning outcomes.

What is a Roulette Odds?

Roulette odds refer to the probability of winning or losing in the game of roulette, a popular casino game where players bet on where a ball will land on a spinning wheel. The odds are typically expressed as a ratio, such as “35 to 1”, which means that for every dollar bet, the player could potentially win $35. The odds vary depending on the type of bet placed. For example, betting on a single number in European roulette has odds of 1 in 37, as there are 37 possible outcomes. However, the payout for this bet is 35 to 1, meaning the house has an advantage. Other bets, such as betting on red or black, have better odds (1 in 2.06 in European roulette), but a lower payout (1 to 1). Understanding roulette odds can help players make informed decisions about their betting strategy.

How to Calculate Roulette Odds?

The following steps outline how to calculate the Roulette Odds.


  1. First, determine the total number of possible outcomes on the roulette wheel. In American roulette, there are 38 possible outcomes (numbers 1-36, 0, and 00). In European roulette, there are 37 possible outcomes (numbers 1-36 and 0).
  2. Next, determine the number of favorable outcomes. This depends on the specific bet you are making. For example, if you are betting on a single number in American roulette, there is 1 favorable outcome out of 38 possible outcomes. If you are betting on red or black in American roulette, there are 18 favorable outcomes out of 38 possible outcomes.
  3. Next, use the formula Odds = (Number of Favorable Outcomes) / (Number of Possible Outcomes) to calculate the odds of winning.
  4. Finally, calculate the Roulette Odds.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Total number of possible outcomes = 38 (American roulette)

Number of favorable outcomes = 1 (betting on a single number)