Betting Coefficients Calculator
Type
Coefficient
Bet Amount

What Is a Betting Odds Calculator?

A betting odds calculator helps you:

  • Calculate potential payouts from any stake and odds
  • Convert odds between decimal, fractional, and American formats
  • Find implied probability - what the odds suggest about winning chances
  • Calculate bookmaker margin - the edge built into odds

This is an essential tool for understanding any bet before you place it.

Understanding Odds Formats

Decimal Odds (European)

Most common worldwide. Shows total return for every $1 wagered.

Decimal Odds $100 Bet Return Profit
1.50 $150 $50
2.00 $200 $100
3.00 $300 $200
5.00 $500 $400

Formula: Return = Stake × Decimal Odds

Implied Probability: 1 / Decimal Odds × 100

Fractional Odds (UK)

Traditional UK format. Shows profit relative to stake.

Fractional Meaning Decimal Equivalent
1/1 (Evens) Win $1 for every $1 staked 2.00
2/1 Win $2 for every $1 staked 3.00
1/2 Win $1 for every $2 staked 1.50
5/2 Win $5 for every $2 staked 3.50
9/4 Win $9 for every $4 staked 3.25

Formula: Profit = Stake × (Numerator / Denominator)

American Odds (Moneyline)

US format. Positive shows profit on $100 bet; negative shows stake needed to win $100.

American Meaning Decimal
+150 $100 bet wins $150 profit 2.50
+200 $100 bet wins $200 profit 3.00
-150 Bet $150 to win $100 profit 1.67
-200 Bet $200 to win $100 profit 1.50
+100 $100 bet wins $100 profit (Evens) 2.00

Formulas:

  • Positive: Decimal = (American / 100) + 1
  • Negative: Decimal = (100 / |American|) + 1

Odds Conversion Table

Decimal Fractional American Implied Probability
1.25 1/4 -400 80.0%
1.33 1/3 -300 75.0%
1.50 1/2 -200 66.7%
1.67 2/3 -150 60.0%
1.80 4/5 -125 55.6%
1.91 10/11 -110 52.4%
2.00 1/1 +100 50.0%
2.10 11/10 +110 47.6%
2.50 3/2 +150 40.0%
3.00 2/1 +200 33.3%
4.00 3/1 +300 25.0%
5.00 4/1 +400 20.0%
6.00 5/1 +500 16.7%
10.00 9/1 +900 10.0%
21.00 20/1 +2000 4.8%

Calculating Potential Payouts

Decimal Odds Payout

Total Return = Stake × Decimal Odds
Profit = Total Return - Stake

Example: $50 at 2.40 odds

  • Return: $50 × 2.40 = $120
  • Profit: $120 - $50 = $70

Fractional Odds Payout

Profit = Stake × (Numerator / Denominator)
Total Return = Profit + Stake

Example: $50 at 7/4 odds

  • Profit: $50 × (7/4) = $87.50
  • Return: $87.50 + $50 = $137.50

American Odds Payout

Positive odds (+):

Profit = Stake × (American / 100)

Example: $50 at +180

  • Profit: $50 × (180/100) = $90
  • Return: $90 + $50 = $140

Negative odds (-):

Profit = Stake × (100 / |American|)

Example: $50 at -150

  • Profit: $50 × (100/150) = $33.33
  • Return: $33.33 + $50 = $83.33

Implied Probability

Implied probability shows what the odds suggest about an outcome’s chances.

Calculating Implied Probability

Format Formula
Decimal 1 / Odds × 100
Fractional Denominator / (Numerator + Denominator) × 100
American (+) 100 / (American + 100) × 100
American (-) |American| / (|American| + 100) × 100

Examples

Decimal 2.50:

1 / 2.50 × 100 = 40%

Fractional 3/1:

1 / (3 + 1) × 100 = 25%

American +200:

100 / (200 + 100) × 100 = 33.3%

American -150:

150 / (150 + 100) × 100 = 60%

Bookmaker Margin (Overround)

Bookmakers build a profit margin into odds. This is called the “overround” or “vig.”

How to Calculate Margin

Add the implied probabilities of all outcomes:

Margin = (1/Odds1 + 1/Odds2 + ...) × 100 - 100%

Example: Football Match

Outcome Decimal Odds Implied Probability
Home Win 2.10 47.6%
Draw 3.40 29.4%
Away Win 3.50 28.6%
Total 105.6%

Margin: 105.6% - 100% = 5.6%

This means for every $100 wagered across all outcomes, the bookmaker expects to keep $5.60.

Typical Bookmaker Margins

Market Type Typical Margin
Major football 2-5%
Tennis 3-6%
Horse racing 10-20%
Niche sports 5-10%
Live betting 5-10%

Lower margin = better value for bettors

Finding Value Bets

A value bet exists when your estimated probability is higher than the implied probability.

Value Calculation

Value = (Your Probability × Decimal Odds) - 1

If Value > 0: Bet has positive expected value

Example

  • Odds: 3.00 (implied probability: 33.3%)
  • Your estimate: 40% chance of winning
Value = (0.40 × 3.00) - 1 = 1.20 - 1 = +0.20 (20% value)

This is a value bet - you estimate 40% chance but only need 33.3% to break even.

Parlay Odds Calculator

For multiple selections (accumulators):

Combined Decimal Odds = Odds1 × Odds2 × Odds3 × ...

Example: 3-Leg Parlay

Selection Decimal Odds
Bet 1 1.80
Bet 2 2.10
Bet 3 1.65

Combined odds: 1.80 × 2.10 × 1.65 = 6.24

$10 bet returns: $10 × 6.24 = $62.40

Calculating Stake from Desired Profit

Want to win a specific amount? Calculate the required stake:

Stake = Desired Profit / (Decimal Odds - 1)

Example

Want to win $100 at 2.50 odds:

Stake = $100 / (2.50 - 1) = $100 / 1.50 = $66.67

Quick Reference Tables

Stake to Win $100

Decimal Odds Stake Needed
1.50 $200.00
1.80 $125.00
2.00 $100.00
2.50 $66.67
3.00 $50.00
4.00 $33.33
5.00 $25.00

Return on $100 Stake

Decimal Odds Total Return Profit
1.50 $150 $50
2.00 $200 $100
2.50 $250 $150
3.00 $300 $200
5.00 $500 $400
10.00 $1,000 $900

Frequently Asked Questions

What are the best odds format?

Decimal odds are easiest to calculate with. Multiply stake by odds to get total return. Most online betting sites let you choose your preferred format.

How do I know if odds are good?

Compare implied probability to your own assessment. If you think a team has 50% chance but odds imply 40%, that’s good value. Also compare odds across bookmakers.

Why do different bookmakers have different odds?

Bookmakers have different opinions, different customer bases, and different margins. Shopping for the best odds across multiple books increases your long-term returns.

What does -110 mean?

American odds of -110 mean you bet $110 to win $100 profit. This is the standard vig on point spreads. It equals 1.91 decimal or 10/11 fractional.

How do bookmakers make money?

Through the margin (overround) built into odds. The implied probabilities of all outcomes add up to more than 100%, guaranteeing the bookmaker profit over time.

Should I always take the highest odds?

Generally yes, but consider other factors like bookmaker reliability, betting limits, and bonus offers. A slightly lower odds with a trusted bookmaker may be preferable.

Start Calculating Your Bets

Use our free betting odds calculator above to:

  1. Enter odds in any format (decimal, fractional, American)
  2. See instant conversions between all formats
  3. Calculate potential payouts for any stake
  4. Find the implied probability
  5. Understand what odds mean before betting

The calculator makes it easy to compare value across different bookmakers and make informed betting decisions.