This tool calculates the probability of different outcomes when you place bets on a roulette wheel.
How to Use the Roulette Probability Calculator
To use this calculator, follow these steps:
- Enter the number of spins you are planning to make.
- Specify the total number of slots on the roulette wheel. The default value is 38 (American roulette), which includes 0 and 00, but you may change it to 37 for European roulette which has only one 0.
- Enter the number of winning slots. By default, this is 1 for a single number bet.
- Enter your bet number. This is the number of slots you are betting on. By default, this is 1 for a single number bet.
- Click the “Calculate” button to see the probability of winning.
How It Calculates the Results
The calculator uses the following formula to calculate the probability of winning at least once in the specified number of spins:
P(at least one win) = 1 - ((number of losing slots / total number of slots) ^ number of spins)
Where the number of losing slots is calculated by subtracting the number of winning slots from the total number of slots.
Limitations
Please note the following limitations of this calculator:
- The calculator assumes that each spin of the roulette wheel is independent of the others.
- The calculator does not account for any biases in the roulette wheel or the betting strategy.
- The probabilities are based on the standard rules of probability and assume a fair and unbiased wheel.
Use Cases for This Calculator
Calculate the probability of landing on a specific number
Enter the desired number (0-36) and find out the probability of the roulette ball landing on that exact number on the next spin. This helps you strategize your bets based on the likelihood of hitting a specific number.
Determine the odds of landing on red or black
Input whether you want to calculate the chances of landing on red or black, and the calculator will display the respective probability. This feature assists you in making informed decisions when placing bets on colors.
Find the probability of hitting odd or even numbers
Specify whether you are interested in the odds of an odd or even number appearing on the next spin. The calculator will generate the corresponding probability, aiding you in your betting choices.
Calculate the likelihood of landing in the first/second/third dozen
Select the dozen you wish to examine (1st, 2nd, or 3rd) and discover the probability of the ball landing in that particular range of numbers. This function enables you to analyze the risk associated with betting on dozens.
Determine the probability of hitting a specific range of numbers
Enter a range of numbers (e.g., 1-12, 13-24, 25-36) to calculate the likelihood of the ball landing in that numerical range. This feature allows you to assess the probability of success in your chosen number range bets.
Find the odds of landing on high or low numbers
Choose whether you want to calculate the chances of hitting high (19-36) or low (1-18) numbers, and the calculator will display the respective probability. This information empowers you to make informed decisions when betting on high or low numbers.
Calculate the probability of landing on a specific column
Select the column (1st, 2nd, or 3rd) and see the probability of the ball landing in that column. This function assists you in assessing the risk associated with column-based bets.
Determine the likelihood of landing on a specific street
Input the street number (1-34) you wish to analyze, and the calculator will reveal the probability of the ball landing on that particular street. This feature helps you make strategic street bets with calculated risks.
Find the odds of landing on a specific split
Specify two adjacent numbers that form a split bet, and the calculator will determine the probability of the ball landing on either of those numbers. This aids you in evaluating the probability of winning split bets.
Calculate the probability of hitting a line bet
Enter the line bet numbers (e.g., 1-6) to calculate the probability of the ball landing on one of those numbers. This function helps you analyze the chances of success when placing line bets on the roulette table.