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Converting Odds to Implied Probability

Converting American odds to break-even percentages

Converting Odds to Implied Probability

Your break-even probability is the win rate you need to have EV = 0. It's the sportsbook's "price tag" expressed as a probability.

Understanding this conversion is essential because it tells you the minimum accuracy you need to be profitable on any bet.

The Formulas

Negative Odds to Implied Probability

Break-even = |odds| / (|odds| + 100)
Excel: =ABS(A2)/(ABS(A2)+100)

Positive Odds to Implied Probability

Break-even = 100 / (odds + 100)
Excel: =100/(A2+100)

Worked Examples

Example 1: -110 Odds (Standard Juice)

Break-even = 110 / (110 + 100)
Break-even = 110 / 210
Break-even = 52.38% (≈52.4%)

Example 2: +150 Odds (Underdog)

Break-even = 100 / (150 + 100)
Break-even = 100 / 250
Break-even = 40.0%

Example 3: -200 Odds (Heavy Favorite)

Break-even = 200 / (200 + 100)
Break-even = 200 / 300
Break-even = 66.7%

Key Insight

Implied probability is the sportsbook's "price tag" in probability form. If you can't beat that number, you can't beat the bet.

Complete Reference Table

American OddsBreak-Even %You Must Win...
+30025.0%1 in 4 bets
+20033.3%1 in 3 bets
+15040.0%2 in 5 bets
+12045.5%~1 in 2 bets
+11047.6%~1 in 2 bets
+10050.0%1 in 2 bets
-11052.4%~11 in 21 bets
-12054.5%~6 in 11 bets
-13056.5%~13 in 23 bets
-15060.0%3 in 5 bets
-17063.0%~2 in 3 bets
-20066.7%2 in 3 bets
-25071.4%~5 in 7 bets
-30075.0%3 in 4 bets

Excel Formula for Any Odds

Use this universal formula in Excel (with odds in cell A2):

Universal Odds Converter

IF odds < 0: |odds|/(|odds|+100), ELSE: 100/(odds+100)
Excel: =IF(A2<0, ABS(A2)/(ABS(A2)+100), 100/(A2+100))

Tip

Build this into a spreadsheet and keep it open whenever you're betting. Type in the odds, get the break-even percentage instantly.

Why This Matters

When you see a prop at -150, you now know instantly:

  1. Break-even is 60% — you need to win 3 out of 5 bets just to break even
  2. Your estimate must exceed 60% — if you think it's 58%, pass
  3. The edge is the gap — if you think it's 65%, your edge is 5 percentage points

This simple conversion is the foundation of every betting decision. Master it, and you'll never make a bet without knowing exactly what you're up against.

Use the Vig Calculator

Calculate implied probability and vig for any odds:

Vig Calculator

Try the interactive calculator for this concept

Open Tool

📝 Exercise

Instructions

Practice converting odds to implied probability.

What is the break-even percentage for -140 odds?

What is the break-even percentage for +180 odds?

You see a prop at -200. Your model says it hits 70% of the time. Is this +EV?