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Fractional Winning Odds Calculator

Probability Formula:

\[ probability = \frac{denominator}{numerator + denominator} \]

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1. What is Fractional Odds?

Fractional odds (also known as British odds) represent the potential profit relative to the stake. For example, 5/1 odds mean you win $5 for every $1 wagered, plus your original $1 stake.

2. How Does the Calculator Work?

The calculator uses the probability formula:

\[ probability = \frac{denominator}{numerator + denominator} \]

Where:

Explanation: The formula converts fractional odds to an implied probability percentage, showing the likelihood of an outcome according to the odds.

3. Importance of Probability Calculation

Details: Understanding the implied probability helps bettors assess whether the odds represent value compared to their own assessment of the true probability.

4. Using the Calculator

Tips: Enter the numerator and denominator from fractional odds (e.g., for 5/2 odds, enter 5 as numerator and 2 as denominator). Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between fractional and decimal odds?
A: Fractional odds show profit relative to stake (5/1 = win $5 plus $1 stake back), while decimal odds include the stake in the calculation (6.0 = win $6 including $1 stake).

Q2: How do I convert probability back to fractional odds?
A: Use the formula: fractional odds = (1/probability) - 1. For example, 25% probability = (1/0.25) - 1 = 3, which is 3/1 odds.

Q3: What does "even money" mean in fractional odds?
A: This is represented as 1/1 odds, meaning you win an amount equal to your stake (50% implied probability).

Q4: Why do bookmakers show fractional odds?
A: Fractional odds are traditional in the UK and Ireland, making it easy to calculate potential profits for a given stake.

Q5: How accurate is this probability calculation?
A: The calculation is mathematically precise, but remember that bookmakers build in an overround (profit margin) so the sum of probabilities for all outcomes will exceed 100%.

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