Odds Calculator
Free odds calculator with 5 modes: convert between American, decimal & fractional odds, calculate bet payouts and profit, find implied probability, remove bookmaker vig for fair odds, and compute parlay payouts.
Odds in All Formats
Your odds converted to every format
Step-by-Step Solution
See how the answer is calculated — free, no paywall
decimal = (100 / |american|) + 1
decimal = (100 / 110) + 1
1.9091
profit = betAmount × (decimal − 1)
profit = $100 × (1.9091 − 1)
$90.91
payout = betAmount × decimal
payout = $100 × 1.9091
$190.91
probability = (1 / decimal) × 100
probability = (1 / 1.9091) × 100
52.38%
Common Odds Conversion Table
Quick reference for popular odds values across all formats
| American | Decimal | Fractional | Probability |
|---|---|---|---|
| -1000 | 1.10 | 1/10 | 90.9% |
| -500 | 1.20 | 1/5 | 83.3% |
| -400 | 1.25 | 1/4 | 80.0% |
| -300 | 1.33 | 1/3 | 75.0% |
| -250 | 1.40 | 2/5 | 71.4% |
| -200 | 1.50 | 1/2 | 66.7% |
| -150 | 1.67 | 2/3 | 60.0% |
| -125 | 1.80 | 4/5 | 55.6% |
| -110 | 1.91 | 10/11 | 52.4% |
| -105 | 1.95 | 19/20 | 51.2% |
| +100 | 2.00 | 1/1 | 50.0% |
| +105 | 2.05 | 21/20 | 48.8% |
| +110 | 2.10 | 11/10 | 47.6% |
| +125 | 2.25 | 5/4 | 44.4% |
| +150 | 2.50 | 3/2 | 40.0% |
| +200 | 3.00 | 2/1 | 33.3% |
| +250 | 3.50 | 5/2 | 28.6% |
| +300 | 4.00 | 3/1 | 25.0% |
| +400 | 5.00 | 4/1 | 20.0% |
| +500 | 6.00 | 5/1 | 16.7% |
| +1000 | 11.00 | 10/1 | 9.1% |
Understanding Betting Odds
What odds represent and how they work
Betting odds represent the likelihood of an outcome and determine how much you win relative to your stake. They express two things simultaneously: the implied probability of an event occurring and the payout ratio if your bet wins.
Core Relationship
Implied Probability = 1 / Decimal Odds × 100
For example, decimal odds of 2.00 imply a 50% probability (1/2.00 = 0.50). The higher the odds, the less likely the outcome (according to the bookmaker), but the greater the potential payout. Bookmakers build a margin (vig) into their odds, so implied probabilities sum to more than 100%.
Odds Formats Explained
American, decimal, and fractional odds side by side
American Odds (Moneyline)
Used primarily in the United States. Positive odds (+200) show profit on a $100 bet. Negative odds (-150) show how much you must bet to profit $100. -110 is the standard for even-money markets with vig included.
If positive: Profit = Stake × (American / 100)
If negative: Profit = Stake × (100 / |American|)
Decimal Odds
Popular in Europe, Australia, and Canada. The number represents the total return per $1 wagered, including your original stake. Odds of 2.50 mean a $1 bet returns $2.50 total ($1.50 profit + $1.00 stake).
Payout = Stake × Decimal
Profit = Stake × (Decimal − 1)
Fractional Odds
Traditional format in the UK and Ireland, especially for horse racing. Expressed as a fraction like 5/2, meaning you win $5 for every $2 staked. "Evens" (1/1) means your profit equals your stake.
Profit = Stake × (Numerator / Denominator)
Decimal = (Numerator / Denominator) + 1
How Implied Probability Works
Understanding probability, vig, and expected value
Implied probability converts odds into a percentage chance of winning. It's what the bookmaker's odds suggest is the likelihood of an outcome.
Input
- American Odds: -110 / -110
- Side 1: 52.38% implied
- Side 2: 52.38% implied
Result
- Total: 104.76% (not 100%)
- Vig (margin): ~4.76%
- Fair odds: 50% / 50%
The vig explained: Bookmakers add a margin so implied probabilities sum to more than 100%. For a typical -110/-110 line, the book keeps ~4.76%. Use the No-Vig mode to see true fair odds.
Expected Value Formula
EV = (True Probability × Profit) − ((1 − True Probability) × Stake)
Expected value (EV) measures whether a bet is profitable long-term. If the true probability exceeds the implied probability, the bet has positive expected value (+EV). Over many bets, +EV betting leads to profit.
Common Mistakes When Calculating Odds
Pitfalls to avoid when working with betting odds
Confusing payout and profit
Payout includes your original stake; profit does not. A $100 bet at +200 pays out $300 total but the profit is only $200.
Ignoring the vig
Implied probabilities from bookmaker odds always overestimate the true probability. Never use raw implied probability as your true estimate.
Misreading American odds signs
The negative sign means the amount you must bet to win $100, not that you lose money. -150 means bet $150 to profit $100.
Treating parlay odds linearly
Parlay odds multiply, they don’t add. A 3-leg parlay at -110 each is not 3× the payout — it’s approximately +596 combined.
Chasing +EV without bankroll management
Even profitable bets can lose short-term. Proper bankroll management (e.g., Kelly criterion) is essential alongside positive expected value.
Worked Examples
Step-by-step calculations for common betting scenarios
Favorite Bet (-110)
- Odds: -110 (American)
- Bet: $100
- Decimal: 1.909
- Payout: $190.91 | Profit: $90.91
Underdog Bet (+250)
- Odds: +250 (American)
- Bet: $50
- Decimal: 3.50
- Payout: $175 | Profit: $125
3-Leg Parlay
- Legs: -110, +150, -200
- Bet: $25
- Combined decimal: 5.73
- Payout: $143.18 | Profit: $118.18
+EV Opportunity
- Odds: +150 (implied 40%)
- True prob: 45%
- Bet: $100
- EV: +$12.50 per bet
Frequently Asked Questions
Common questions about betting odds, probability, and payouts