Home Back

Calculate American Odds From Probability

American Odds Formula:

\[ \text{For } p > 0.5: \text{Odds} = -\frac{100}{\left(\frac{p}{1-p}\right)} \] \[ \text{For } p < 0.5: \text{Odds} = 100 \times \left(\frac{1-p}{p}\right) \]

(0 to 1)

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is American Odds?

American odds, also known as moneyline odds, are primarily used in the United States. They indicate how much you need to bet to win $100 (for negative odds) or how much you would win from a $100 bet (for positive odds).

2. How Does the Calculator Work?

The calculator uses the following formulas:

\[ \text{For } p > 0.5: \text{Odds} = -\frac{100}{\left(\frac{p}{1-p}\right)} \] \[ \text{For } p < 0.5: \text{Odds} = 100 \times \left(\frac{1-p}{p}\right) \]

Where:

Explanation: The formulas convert probability to American odds format, with different calculations for favorites (p > 0.5) and underdogs (p < 0.5).

3. Importance of Odds Calculation

Details: Converting probabilities to odds is essential for sports betting, risk assessment, and understanding implied probabilities in gambling markets.

4. Using the Calculator

Tips: Enter the probability as a value between 0 and 1 (e.g., 0.75 for 75% probability). The calculator will automatically determine whether to use the favorite or underdog formula.

5. Frequently Asked Questions (FAQ)

Q1: What happens when probability is exactly 0.5?
A: At exactly 0.5 probability, the odds would be +100 (you win $100 for a $100 bet).

Q2: How do negative odds work?
A: Negative odds (e.g., -150) mean you need to bet that amount to win $100. So -150 means bet $150 to win $100.

Q3: What's the difference between American and decimal odds?
A: American odds use positive/negative numbers, while decimal odds represent the total payout per unit bet.

Q4: Can I convert American odds back to probability?
A: Yes, for positive odds: p = 100 / (odds + 100). For negative odds: p = -odds / (-odds + 100).

Q5: Why are there different odds formats?
A: Different regions prefer different formats. American odds are standard in the US, while decimal odds are more common in Europe.

Calculate American Odds From Probability© - All Rights Reserved 2025