American Odds Calculator
Enter a moneyline and stake amount to instantly calculate implied probability, decimal odds, profit, and total payout.
Probability to American Odds Converter
What are American odds?
American odds (also called moneyline odds) are a popular format used by U.S. sportsbooks. They use plus and minus numbers to communicate risk and reward. A positive value (like +150) shows how much profit you win on a $100 bet. A negative value (like -150) shows how much you need to risk to win $100 in profit.
This calculator helps you translate those values into more intuitive numbers, including implied probability, decimal odds, and expected payout for your chosen stake.
How to read positive vs. negative odds
Positive odds (+)
Positive odds usually indicate an underdog. For example, at +200, a $100 stake returns $200 profit (plus your original stake back).
- +100 means $100 profit on a $100 stake
- +150 means $150 profit on a $100 stake
- +250 means $250 profit on a $100 stake
Negative odds (-)
Negative odds usually indicate a favorite. For example, at -150, you need to risk $150 to win $100 profit.
- -110 means risk $110 to win $100
- -150 means risk $150 to win $100
- -200 means risk $200 to win $100
Formulas used by this calculator
The calculator uses standard sportsbook formulas:
- Implied probability (positive odds): 100 / (odds + 100)
- Implied probability (negative odds): |odds| / (|odds| + 100)
- Decimal odds (positive): (odds / 100) + 1
- Decimal odds (negative): (100 / |odds|) + 1
- Profit: stake × (odds / 100) for positive odds, or stake × (100 / |odds|) for negative odds
- Total payout: stake + profit
Why implied probability matters
Implied probability is the break-even win rate required for a wager. If your true projected win chance is higher than the implied probability, the line may offer positive expected value (EV). For example:
- A line of +150 implies about 40.00%
- If your model says 45%, the bet may be valuable
- If your model says 35%, the line is likely overpriced
This is one of the most important concepts in disciplined sports betting and market comparison.
Worked examples
Example 1: Underdog at +180 with $50 stake
Profit = $50 × 1.8 = $90. Total payout = $140. Implied probability is about 35.71%.
Example 2: Favorite at -125 with $80 stake
Profit = $80 × (100/125) = $64. Total payout = $144. Implied probability is about 55.56%.
Common mistakes to avoid
- Confusing total payout with net profit
- Ignoring implied probability when line shopping
- Overbetting bankroll on short-term variance
- Forgetting that bookmaker margin (vig) affects true value
Practical bankroll note
Even high-quality edges experience swings. Use a consistent staking plan and avoid chasing losses. Many bettors use flat staking (same dollar amount each bet) or a fractional Kelly approach to control risk.
FAQ
Can I use this for all sports?
Yes. American odds are common in NFL, NBA, MLB, NHL, MMA, and many other markets.
Does this include sportsbook vig removal?
No. This tool calculates straight implied probability from the listed line. Removing vig requires both sides of the market.
What if my odds are written without a plus sign?
You can still enter the number. Positive values will be treated as plus odds; negative values should include the minus sign.
Educational use only. Bet responsibly and follow local laws.