American Odds Formula:
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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).
The calculator uses the following formulas:
Where:
Explanation: The formulas convert probability to American odds format, with different calculations for favorites (p > 0.5) and underdogs (p < 0.5).
Details: Converting probabilities to odds is essential for sports betting, risk assessment, and understanding implied probabilities in gambling markets.
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.
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.