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 Format
Quick Examples
Total Payout
$190.91
Profit: $90.91
ROI: 90.9%

Odds in All Formats

Your odds converted to every format

American
-110
Decimal
1.9091
Fractional
10/11
Implied Probability
52.38%

Step-by-Step Solution

See how the answer is calculated — free, no paywall

1Convert to decimal odds

decimal = (100 / |american|) + 1

decimal = (100 / 110) + 1

1.9091

2Calculate profit

profit = betAmount × (decimal − 1)

profit = $100 × (1.9091 − 1)

$90.91

3Calculate total payout

payout = betAmount × decimal

payout = $100 × 1.9091

$190.91

4Calculate implied probability

probability = (1 / decimal) × 100

probability = (1 / 1.9091) × 100

52.38%

Common Odds Conversion Table

Quick reference for popular odds values across all formats

AmericanDecimalFractionalProbability
-10001.101/1090.9%
-5001.201/583.3%
-4001.251/480.0%
-3001.331/375.0%
-2501.402/571.4%
-2001.501/266.7%
-1501.672/360.0%
-1251.804/555.6%
-1101.9110/1152.4%
-1051.9519/2051.2%
+1002.001/150.0%
+1052.0521/2048.8%
+1102.1011/1047.6%
+1252.255/444.4%
+1502.503/240.0%
+2003.002/133.3%
+2503.505/228.6%
+3004.003/125.0%
+4005.004/120.0%
+5006.005/116.7%
+100011.0010/19.1%

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.

Convert between formats
Calculate payouts
Find implied probability
Compare parlay odds
Calculate expected value
Remove the vig

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